MPBSE Class 10 Science Chapter 6 Life Processes Question and Answers

MPBSE Class 10 Science Life Processes Question and Answers

Question 1. (1) How many times does the blood go through the heart during one cycle in fish and why?

{2) List the respiratory pigment present in our body. Where is it present?

(3) Why are valves present in the heart and veins?
Answer:

  1. Fish have a single circulation of blood in contrast to double circulation in humans. In fish, the heart pumps the blood into the gills for purification. From the gills, the purified blood goes to the body and then comes back to the heart for pumping.
  2. Haemoglobin is the respiratory pigment. It is present in the red blood corpuscles.
  3.  Valves are present in the heart and veins to prevent the backflow of blood.

Question 2. (1) Explain in brief the mechanism of circulation of blood in the human body.

(2) “Lymph is another type of fluid involved in transportation.” Justify the statement by explaining the process.
Answer:

(1) The right atrium receives deoxygenated blood from the heart (coronary sinus), upper part of the body (superior vena cava), and middle and lower part of the body (inferior vena cava). The left atrium receives oxygenated blood from the lungs.

  • As the two atria get filled, they contract simultaneously and pour their blood into the ventricles of their side through auriculo-ventricular apertures.
  • On getting filled, the ventricles undergo systole. The left ventricle sends oxygenated blood to all body parts through the systemic aorta. The right ventricle sends deoxygenated blood to the lungs through the pulmonary arch for oxygenation.

(2) Lymph is a transportation fluid formed from tissue fluid. It is specialised to collect large size secretions and excretions which cannot directly pass into the blood, For Example., proteins, hormones, and fat. The lymph picks them and pours their contents into the blood in the region of the subclavian vein.

Life Processes Class 10 Questions And Answers

Question 3. (1)(A) Receives deoxygenated blood from vena cava (B) Sends deoxygenated blood to the lung through the pulmonary artery (C) Receives oxygenated blood from lungs and (D) Sends oxygenated blood to all parts of the body through the aorta.

(2) What does the blood consist of?

(3) Name the respiratory pigment in human beings and discuss its role.
Answer:

  1. (A) Right atrium (B) Right ventricle (C) Left atrium (D) Left ventricle.
  2. Blood consists of blood plasma (55%) and blood cells (45%) of three types red blood corpuscles, white blood corpuscles and blood platelets.
  3. Haemoglobin is the respiratory pigment that is found in red blood corpuscles. It carries oxygen as oxyhaemoglobin and a part of carbon dioxide as carbaminohaemoglobin.

Question 4. What is lymph? How is the composition of lymph different from blood plasma? What is the direction of its flow? List two functions of the lymphatic system.
Answer:

Lymph is a straw-coloured viscous fluid which is formed from tissue fluid and flows inside tubes called lymph vessels.

Lymph differs from blood plasma in having :

  1. 94% water instead of 92% in plasma
  2. 3.0 to 4.5 per cent protein instead of 6-8% protein in blood plasma
  3. Globulin and fibrinogen contents are lower
  4. Lymph receives a direct supply of secretion and excretion of tissues while blood obtains the same from lymph.

Direction of Flow. Unidirectional from tissues all over the body to subclavian veins.

Functions of Lymphatic System.

  1.  The lymphatic system functions as a middleman between tissue fluid and blood,
  2. It picks up germs and takes them to lymph nodes for disposal.

Question 5. (A) What do the following transport: (1) Xylem (2) Phloem (3) Pulmonary vein (4) Vena Cava?

(B) Write two points of difference between the pulmonary artery and the pulmonary vein.
Answer:

  1. (A) Xylem. Transports sap (water and mineral salts) from roots to aerial parts of the plant.
  2. Phloem. It translocates food and other solutes from a place of manufacture or storage to a place of utilisation both in upward and downward directions.
  3.  Pulmonary Vein. It carries oxygenated blood from the lungs to the left auricle.
  4. Vena Cava. It carries deoxygenated blood from different parts of the body to the right auricle. Differences between Pulmonary Artery and Pulmonary Vein

Transportation Difference Between Pulmonary Artery And Pulmonary Vein

Mpbse Class 10 Science Chapter 6 Solutions

Question 6. (1) The upward movement of water normally requires a pump in our houses but in tall trees, water rises up without any external support. Explain the mechanism.

(2) State three points of difference between the transport of materials in the xylem and phloem.
Answer:

(1) Water rises up the top of the tallest plants through the development of a negative pressure caused by loss of water in transpiration. Transpiration or loss of water in vapour form occurs from mesophyll and other cells of aerial parts.

  1. As there are innumerable numbers of cells losing water, they develop a tremendous suction pressure and withdraw water from the nearby xylem channels. This puts the water present in the xylem channel under a negative pressure of 10-20 atm.
  2. Negative pressure or pull caused by transpiration is unable to break the continuity of the water column due to the presence of cohesion force amongst water molecules and adhesion force between water and the wall of the xylem channel.
  3. The negative pressure or transpiration pull reaches the root region and forces water to move upwards. It is just like upward pulling of a cold drink with the help of a straw pipe. The mechanism of the ascent of sap through transpiration pull and cohesion force was given by Dixon and Jolly (1894).

Transportation Difference Between Transport In Xylem And Phloem

2. Force. It comes from the development of negative press- 2. It develops from the formation of turgor pressure, sure or transpiration pull.

3. Channel. The conducting channels are made of the conducting channels are formed of living sieves dead lignified elements, vessels and tracheids. tube elements.

Question 7. (1) Mention any two components of blood.

(2) Trace the movement of oxygenated blood in the body.

(3) Write the function of valves present in between atria and ventricles.

(4) Write one structural difference between artery and vein.
Answer:

  1. Composition of Blood. Blood cells—45%. Plasma—55%. Blood cells arc of three types—red blood corpuscles, white blood corpuscles and blood platelets.
  2. Movement of Oxygenated Blood. Blood is oxygenated in the lungs. Pulmonary veins carry the oxygenated blood from the lungs to the left atrium. The left atrium pours the oxygenated blood into the left ventricle. On contraction left ventricle pushes the oxygenated blood into the aorta for supply to various parts of the body.
  3.  Function of Valves. A tricuspid valve lies over the right atrioventricular aperture. A bicuspid valve occurs over the left atrioventricular aperture. They are meant to prevent the backflow of blood into the atria when the ventricles contract.
  4. Artery’ and Vein. An artery has a thicker elastic well and a narrower lumen while the vein has a thinner nonelastic wall with wider lumen and semilunar valves for preventing backflow of blood.

Important Questions Of Life Processes Class 10

Question 8. (1) Write two water-conducting elements present in plants. How does water enter continuously into the root system?

(2) Explain why plants have low energy needs as compared to animals.
Answer:

  1. The two water-conducting elements of plants are tracheids and vessels. Continuous Entry of Water.
  2.  Plants have low energy requirements.

Question 9. List in tabular form three differences between blood and lymph.
Answer:

Transportation Difference Between The Blood And Lymph

Question 10. “Blood circulation in fishes is different from the blood circulation in human beings.” Justify the statement.
Answer:

Fishes have two-chambered venous hearts with a single circulation. Human beings have four-chambered arterio¬venous hearts with double circulation.

Question 11. (1) Write the correct sequence of steps followed during the journey of oxygen-rich blood from the lungs to various organs of the human body.

(2) What happens when the system of blood vessels develops a leak?
Answer:

1. Lungs → Pulmonary veins → Left atrium → Left atrial diastole followed by contraction → Left ventricle → Left ventricle diastole followed by contraction → Aorta → Various parts of body except lungs.

2. (A) Leakage will reduce blood quantity, blood pressure mid-efficiency of a pumping system,

(B) Blood coagulation at the site of length will plug the leakage

Life Processes Class 10 Mcq

Question 13. Give Reasons

  1. Ventricles have thicker muscular walls than atria
  2. The transport system in plants is slow
  3. The circulation of blood in aquatic vertebrates differs from that in terrestrial vertebrates.
  4. During the daytime, water and minerals travel faster through the xylem as compared to the night.
  5. Veins have valves whereas arteries do not.

Answer:

  1. Thicker Walls of Ventricles.
  2. Slow Transport in Plants. Plants have a lower requirement of energy.
  3.  In aquatic vertebrates, like lush there is a single blood circulation while in terrestrial vertebrates there is double circulation.
  4. The rate of water and mineral movement is higher during the daytime due to very high transpiration.
  5. There is no forceful movement of blood in the veins. Veins possess valves to prevent backflow.

MPBSE Class 11 Chemistry Hydrogen Multiple Choice Question and Answers

Class 11 Hydrogen Important Questions

MPBSE Class 11 Chemistry Hydrogen Multiple Choice Question and Answers

Question 1. At absolute zero

  1. Only para-hydrogen exists
  2. Onlypara- hydrogen exists
  3. Both ortho- and para-hydrogen exist
  4. Neither para- nor ortho-hydrogen exists

Answer: 1. Only para-hydrogen exists

Question 2. In which of the following reaction dihydrogen acts as an oxidising agent—

  1. F2 + H2 → 2HF
  2. Cl2 + H→ 2HC1
  3. N2 + 3H2 →2NH3
  4. 2Na + H2 → 2NaH

Answer: 4. 2Na + H2 → 2NaH

Question 3. Which of the following halogens has the least affinity towards hydrogen—

  1. I2
  2. CI2
  3. Br2
  4. F2

Answer: 1. I2

Question 4. Which of the following compounds on electrolysis produces hydrogen—

  1. dil. H2S04
  2. dil. solution of NaOH
  3. Ba(OH)2 solution
  4. KOH solution

Answer: 3. Ba(OH)2 solution

Hydrogen Mcq Class 11

MPBSE Class 11 Chemistry MCQs Question 5. The thermal stability of Gr.-15 hydrides follows the order

  1. ASH3 > PH3 > NH3 > SbH3 > BiH3
  2. NH3 > PH3 > ASH3 > SbH3 > BiH3
  3. NH3 > AsH3 > PH3 > SbH3 > BiH3
  4. BiH3 > SbH3 > AsH3 > PH3 > NH3

Answer: NH3 > PH3 > ASH3 > SbH3 > BiH3

MPBSE Class 11 Chemistry Hydrogen Multiple Choice Question and Answers

Question 6. The correct order of vaporization enthalpy of the following hydride is

  1. NH3<PH3<AsH3
  2. AsH3<PH3<NH3
  3. PH3<AsH3<NH3
  4. NH3<AsH3<PH3

Answer: 3. PH3<AsH3<NH3

Question 7. Interstitial hydrides are formed by—

  1. S-block elements
  2. P-block elements
  3. D-block elements
  4. Intert gas elements

Answer: 3. D-block elements

Question 8. The correct descending order of thermal stability of alkali metals hydrides is—

  1. LiH > NaH > KH > RbH > CsH
  2. CsH > RbH > KH > NaH > LiH
  3. NaH > KH > LiH > CsH > RbH
  4. CsH > LiH > KH > NaH > RbH

Answer: 1. LiH > NaH > KH > RbH > CsH

Class 11 Chemistry Hydrogen Mcqs

MPBSE Class 11 Chemistry MCQs  Question 9. Solubility of NaClin the solvents H20 and DaO is

  1. Equal in both
  2. More in D20
  3. More in H20
  4. Only in H20

Answer: 3. More in H20

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Class 11 ChemistryTransformation of Sentences
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Question 10. The degree of hardness of 1L sample water containing 0.002 mol MgS04 is

  1. 20 ppm
  2. 200 ppm
  3. 2000ppm
  4. 120ppm

Answer: 2. 200 ppm

Question 11. Which of the following reacts with water to produce electron-precise hydrides—

  1. Ca3P2
  2. AI4C3
  3. Mg3N2
  4. None of these

Answer: 2. Al4C3

Hydrogen Class 11 MCQ Question 12. Which of the following couples reacts with water to produce the same gaseous product—

  1. K and K02
  2. K and K02
  3. Na and Na202
  4. Ba and Ba02

Answer: 2. K and K02

Question 13. Which of the following compounds contain free hydrogen

  1. Water
  2. Marsh gas
  3. Water gas
  4. Acid

Answer: 3. Water gas

Question 14. Which of the following reacts with metallic sodium to produce hydrogen—

  1. CH4
  2. C2H6
  3. C2H4
  4. C2H2

Answer: 4. C2H2

Question 15. Semi-water gas is

  1. CO + H2 + N2
  2. H2 + CH4
  3. CO + H2+ O2
  4. CO + H2

Answer: 1. CO + H2 + N2

Hydrogen Class 11 Ncert Solutions

Question 16. Which of the following metals does not react with cold water liberates H with boiling water

  1. Na
  2. K
  3. Pt
  4. Fe

Answer: 4. Fe

Question 17. Volume of ’10 volume’ H202 required to convert 0.01 mol PbS into PbS04 is—

  1. 11.2 mL
  2. 22.4 mL
  3. 33.6 mL
  4. 44.8 mL

Answer: 4. 44.8 mL

Hydrogen Class 11 MCQ Question 18. On dilution of H202, the value of dielectric constant

  1. Increases
  2. Remains same
  3. Decreases
  4. None of these

Answer: 1. Increases

Question 19. By which of the following water gets oxidized to oxygen

  1. Cl02
  2. KMn04
  3. H202
  4. F2

Answer: 4. F2

Question 20. Which of the following does not get oxidized by H202

  1. Na2S03
  2. PBS
  3. KI
  4. O3

Answer: 4. O3

Question 21. The temperature at which the density of D20 is maximum is

  1. 9°C
  2. 11.5°C
  3. 15.9°C
  4. 20°C

Answer: 11.5°C

Question 22. Which of the following undergoes disproportionation reaction with water—

  1. S03
  2. F2
  3. Cl2
  4. N2

Answer: 2. F2

Multiple Choice Questions On Hydrogen

Hydrogen Class 11 MCQ Question 23. Which of the following undergoes disproportionation reaction with water—

  1. S03
  2. F2
  3. Cl2
  4. N2

Answer: 3. Cl2

Question 24. The non-inflammable hydrides

  1. NH3
  2. PH3
  3. ASH3
  4. SbH3

Answer: 1. NH3

Question 25. The triple point of water is

  1. 203K
  2. 193K
  3. 273K
  4. 373K

Answer: 3. 273K

Question 26. The process by which hydrogen is prepared by the reaction of silicon, iron alloy, and NaOH is

  1. Woodprocess
  2. Haber’s process
  3. Silicol process
  4. Bosch process

Answer: 3. Silicol process

Multiple Choice Questions On Hydrogen

Question 27. An element reacts with hydrogen to form a compound A, which in reaction with water liberates hydrogen again. The elements—

  1. Cl
  2. CS
  3. Se
  4. N2

Answer: 2. CS

Question 28. Only one element of which of the following groups forms a metal hydride

  1. Gr-6
  2. Gr-7
  3. Gr-8
  4. Gr-9

Answer: 1. Gr-6

Question 29. An acidic solution of which of the following turns orange in the presence of H202

  1. Ba02
  2. Na202
  3. Ti02
  4. Pb02

Answer: 3. Ti02

Question 30. In the following reaction the isotopic oxygens \(2 \mathrm{MnO}_4^{-}+3 \mathrm{H}_2 \mathrm{O}_2^{18} \rightarrow 2 \mathrm{MnO}_2+3 \mathrm{O}_2+2 \mathrm{H}_2 \mathrm{O}+2 \mathrm{OH}^{-}\)

  1. Both get converted into 02
  2. Both get converted into oh
  3. Both get converted into more
  4. One of them gets converted to 02, another to mn02

Answer: Both get converted into 02

Question 31. X on electrolysis produces Y which on vacuum distillation produces H202. The numbers of peroxo linkage present X and Y are

  1. 1,1
  2. 1,2
  3. 0>1
  4. 0,0

Answer: 3. 0>1

Question 32. The compound which on electrolysis in its molten or liquid state liberates hydrogen at the anode is

  1. NaOH
  2. CaH2
  3. HC1
  4. H20

Answer: 2. CaH2

Question 33. Which of the following couples exhibit the maximum isotope effect

  1. H D
  2. O O
  3. CI CI
  4. C C

Answer: 1. H D

Class 11 Chemistry Hydrogen Mcqs

Question 34. Which of the following emits by tritium

  1. Neutron
  2. Ray
  3. Particle
  4. Particle

Answer: 3. Particle

MPBSE Class 11 Chemistry MCQs Question 35. Oxidation of benzene by H202 in the presence of ferrous sulfate produces

  1. Pheno
  2. Cyclohexane
  3. Anisole
  4. Benzaldehyde

Answer: 1. Pheno

Multiple Choice Questions On Hydrogen

Question 36. The oxidation state of Cr in the product obtained by the reduction of K2Cr20? by atomic hydrogen is

  1. +6
  2. +2
  3. 0
  4. +3

Answer: 4. +3

Question 37. Which of the following does not get reduced by H2 in its aqueous solution

  1. Cu2+
  2. Fe3+
  3. Zn2+
  4. Ag+

Answer: 3. Zn2+

Question 38. Which of the following compounds has a similar odor as that of H202

  1. Caustic soda
  2. Chloroform
  3. Alcohol
  4. Nitric acid

Answer: 4. Nitric acid

Question 39. Which of the following compounds reacts with atomic hydrogen to form formaldehyde

  1. CO
  2. C02
  3. CH4
  4. C2H2

Answer: 1. CO

Class 11 Chemistry Hydrogen Mcqs

Question 40. Which of the following isotopes of hydrogen is the most reactive

  1. H
  2. H
  3. H
  4. All the isotopes are equally reactive

Answer: 1. H

MPBSE Class 11 Chemistry MCQs Question 41. When equal amounts of Zn are allowed to react separately with excess H2S04 and excess NaOH, then the ratio of the volumes of hydrogen produced for the first and the second case respectively

  1. 1:2
  2. 2:1
  3. 4:9
  4. 1:1

Answer: 4. 1:1

Question 42. Which of the following hydrides of s-block elements have a polymeric structure

  1. LiH
  2. BeH2
  3. No
  4. MgH2

Answer: 2. BeH2

Question 43. Which of the following statements is true—

  1. Ifz= 15, the element forms a covalent hydride
  2. Ifz= 23, the element forms an ionic hydride
  3. Ifz= 19, the element forms an ionic hydride
  4. Ifz= 44, the element forms metalic hydride

Answer: 1. Ifz= 15, the element forms a covalent hydride

Question 44. Which of the following hydrides are polynuclear hydrides

  1. No
  2. C3H8
  3. N2H4
  4. HF

Answer: C3H8

Question 45. Which of the following statements is correct

  1. Metallic hydrides are hydrogen-deficient
  2. Metallic hydrides are conductors of heat and electricity
  3. Ionic hydrides in their solid state do not conduct electricity
  4. Ionic hydrides on electrolysis in their molten state produce h2 at the cathode.

Answer: 1. Metalic hydrides are hydrogen deficient

Question 46. Which of the following ions get exchanged with Na+ ion of zeolite when zeolite is added to thehard water

  1. H+ ion
  2. Ca2+ ion
  3. So+ ion
  4. Mg2+ ion

Answer: 2. Ca2+ ion

MPBSE Class 11 Chemistry MCQs Question 47. Which of the following reactions are neurolysis

  1. 2Na + 2D20 → 2NaOD + D2
  2. AlClg + 3D20 →Al(OD)3 + 3DC1
  3. Ca + 2D20→ Ca(OD)2 + D2
  4. Fe2(S4)3 + 6D20-> 2Fe(0D)3 + 3D2S04

Answer: 2. AlClg + 3D20→ Al(OD)3 + 3DC1

Multiple Choice Questions On Hydrogen

Question 48. Which of the following reactions are redox reactions

  1. H2O + so2 → H2SO3
  2. CaO + H20 → Ca(OH)2
  3. 2Na + 2H20 → 2NaOH + H2
  4. 2F2 + 2H20 → 02 + 4HF

Answer: 3. 2Na + 2H20 → 2NaOH + H2

Question 49. In which of the following reactions H202 acts as a reductant—

  1. CgHg + H202 → CgHgOH + H220
  2. PbS + 4H202 → PbS04 + 4H20
  3. Na0Br +H202 → NaBr + H20 + 02
  4. 2Mn04 +6H+ + 5H202 → 2Mn2+ + 8H20 + 502

Answer: 3. Na0Br +H202 → NaBr + H20 + 02

Question 50. Which of the properties are the same for a metal and its hydride

  1. Hardness
  2. Electrical conductance
  3. Magnetic property
  4. Metallic lustre

Answer: 1. Hardness

Question 51. The correct orders are—

  1. H2 < D2 < T2 : boilingpoint
  2. H2 < D2 < T2 : freezing point
  3. H2 < D2 < T2 : latent heat ofvaporisation
  4. T2O > H20 > D20 : dissociation constant

Answer: 1. H2 < D2 < T2 : boilingpoint

Question 52. Which of the following reacts with zinc to produce hydrogen gas

  1. dil.HCl
  2. cold water
  3. hot NaOH solution
  4. cone. H2S04

Answer: 2. cold water

Question 53. Which of the following properties has a greater magnitude in D20 than that in H20

  1. Viscosity
  2. Surface tension
  3. dielectric constant
  4. latent heat of vaporisation

Answer: 2. Viscosity

Question 54. Which of the following metal hydrides get reduced by hydrogen

  1. CuO
  2. Pb304
  3. Na202
  4. MgO

Answer: 1. CuO

Multiple Choice Questions On Hydrogen

Question 55. Multimolecular covalent hydrides of s-block are

  1. LiH
  2. BeH2
  3. NaH
  4. MgH2

Answer: 2. BeH2

MPBSE Class 11 Chemistry MCQs Question 56. The oxidation numbers of the most electronegative element in the product were obtained due to the reaction between Ba02 and dil. H2S04 are—

  1. -1
  2. 0
  3. -2
  4. +1

Answer: 1. -1

Question 57. Which of the following compounds decreases the rate of decomposition of H202

  1. CO(NH2)2
  2. Mn02
  3. PbNHCOCH3
  4. (COOH)2

Answer: 1. CO(NH2)2

Question 58. Which of the following produces H202 on hydrolysis

  1. Pemitricacid
  2. Perchloric acid
  3. Perdisulphuric acid
  4. Caro’s acid

Answer: 1. Pemitricacid

Question 59. Choose the correct statements

  1. The concentration of 20 volume H202 solution is 60.7g L-1
  2. volume strength of 2(N)H202 solution is 15
  3. volume strength of 2(N)H202 solutions 11.2
  4. The concentration of the 20-volume H202 solution is 50.7g. L-1

Answer: 1. The Concentration of 20-volume H202 solution is 60.7g L-1

Question 60. Choose the correct alternative—

  1. a mixture of HCl and HCIO is formed when chlorine reacts with cold water
  2. arrange color of K2Cr207 solution turns blue when it reacts with H202
  3. under low pressure, isopropyl alcohol reacts with a small amount of H202 to produce formaldehyde
  4. hydrolith produces black coloured product when it reacts with PbS04

Answer: 1. a mixture of HC1 and HCIO is formed when chlorine reacts with cold water

Question 60. Which of the following alternatives is not true—

  1. The correct order of reactivity of h2 towards the halogens
  2. Is: cl2 > br2 > i2 > f2
  3. The concentration of h202 used in rockets is 90%
  4. H2 gets more readily absorbed on the surface of metal than d2
  5. Conversion of atomic hydrogen into molecular hydrogens is an exothermic process

Answer: 1. Correct order of reactivity of h2 towards the halogens

MPBSE Class 11 Physics Chapter 12 Thermal Expansion Multiple Choice Question And Answers

Mpbse Class 11 Physics Chapter 12 MCQs

Calorimetry And Thermal Expansion Multiple Choice Question And Answers

Question 1. The amount of heat required to change the state of 1 kg of substance at constant temperature is called

  1. Kilocal
  2. Calorie
  3. Specific heat
  4. Latent heat

Answer: 4. latent heat

Question 2. The water equivalent of a 400 g copper calorimeter (specific heat = 0.1 cal/gºC)

  1. 40 g
  2. 4000 g
  3. 200 g
  4. 4 g

Answer: 1. 40 g

Question 3. Heat required to convert 1 g of ice at 0ºC into steam at 100ºC is

  1. 100 cal
  2. 0.01 cal/ºC
  3. 720 cal
  4. 1 kilocal

Answer: 3. 720 cal

Question 4. The thermal capacity of 40 g of aluminum (specific heat = 0.2 cal/gmºC)

  1. 40 cal/ºC
  2. 160 cal/ºC
  3. 200 cal/ºC
  4. 8 cal/ºC

Answer: 5. 8 cal/ºC

Mpbse Class 11 Physics Chapter 12 Mcqs

Question 5. The boiling water is changing into steam. Under this condition, the specific heat of water is

  1. Zero
  2. One
  3. Infinite
  4. Less than one

Answer: 3. Infinite

Question 6. One kg of ice at 0ºC is mixed with 1 kg of water at 10ºC. The resulting temperature will be

  1. Between 0ºC and 10ºC
  2. 0ºC
  3. Less than 0ºC
  4. Greater than 0ºC

Answer: 2. 0ºC

Question 7. If 10g of ice at 0ºC is mixed with 10g of water at 40ºC, the final mass of water in the mixture is

  1. 10 g
  2. 15 g
  3. 18 g
  4. 20 g

Answer: 2. 15 g

Thermal Expansion Class 11 Mcq

Question 8. Water is used to cool the radiators of engines in cars because:

  1. Of its low boiling point
  2. Of its high specific heat
  3. Of its low-density
  4. Of its easy availability

Answer: 2. Of its high specific heat

Question 9. Steam at 100ºC is passed into 2.0 kg of water contained in a calorimeter of water equivalent to 0.02 kg at 15ºC till the temperature of the calorimeter and its contents rise to 90ºC. The mass of steam condensed in kg is

  1. 0.301
  2. 0.280
  3. 0.60
  4. 0.02

Answer: 2. 0.280

Class 11 Physics Thermal Expansion MCQs Question 10. A small quantity, mass m, of water at a temperature θ (inºC) is poured onto a large mass M of ice which is at its melting point. Ιf c is the specific heat capacity of water and L is the latent heat of fusion of ice, then the mass of ice melted is given by :

  1. \(\frac{\mathrm{ML}}{\mathrm{mc} \theta}\)
  2. \(\frac{\mathrm{mc} \theta}{\mathrm{ML}}\)
  3. \(\frac{\mathrm{Mc} \theta}{\mathrm{L}}\)
  4. \(\frac{\mathrm{mc} \theta}{\mathrm{L}}\)

Answer: 4. \(\frac{\mathrm{mc} \theta}{\mathrm{L}}\)

Question 11. 20 gm ice at –10 ºC is mixed with m gm steam at 100 ºC. Minimum value of m so that finally all ice and steam converts into water. (Use sice=0.5 cal/gmºC, swater=1 cal/gmºC,L (melting)=80 cal/gm and L (vaporization) = 540 cal/gm)

  1. \(\frac{85}{32} \mathrm{gm}\)
  2. \(\frac{85}{64} \mathrm{gm}\)
  3. \(\frac{32}{85} \mathrm{gm}\)
  4. \(\frac{64}{85} \mathrm{gm}\)

Answer: 1. \(\frac{85}{32} \mathrm{gm}\)

Thermal Expansion Multiple Choice Questions

Question 12. 300 calories of heat is supplied to raise the temperature of 50 gm of air from 20°C to 30°C without any change in its volume. Change in internal energy per gram of air is

  1. Zero
  2. 0.6 calories
  3. 1.2 calories
  4. 6.0 calories

Answer: 4. 6.0 calories

Question 13. How much heat energy is gained when 5 kg of water at 20°C is brought to its boiling point? (Specific heat of water = 4.2 kg-1C-1)

  1. 1680 kJ
  2. 1700 kJ
  3. 1720 kJ
  4. 1740 kJ

Answer: 1. 1680 kJ

Question 14. Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T0, While Box B contains one mole of helium at temperature (7/3) T0. The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of boxes). Then, the final temperature of the gases, Tf, in terms of T0 is

  1. \(\mathrm{T}_{\mathrm{f}}=\frac{7}{3} \mathrm{~T}_0\)
  2. \(T_f=\frac{3}{2} T_0\)
  3. \(T_f=\frac{5}{2} T_0\)
  4. \(T_f=\frac{3}{7} T_0\)

Answer: 2. \(T_f=\frac{3}{2} T_0\)

Class 11 Physics Thermal Expansion MCQs Question 15. Compared to a burn due to water at 100°C, a burn due to stem at 100°C is

  1. More dangerous
  2. Less dangerous
  3. Equally dangerous
  4. None of these

Answer: 1. More Dangerous

Question 16. Their moment should have its heat capacity small. If P is mercury thermometer, Q is resistance thermometer and R is thermocouple type then

  1. P is best, R worst
  2. R is best, P worst
  3. R is best, Q worst
  4. P is best, Q worst

Answer: 3. R is best, Q worst

Question 17. If 1g of steam is mixed with 1 g of ice, then the resultant temperature of the mixture is :

  1. 270°C
  2. 230°C
  3. 100°C
  4. 50°C

Answer: 3. 100°C

Class 11 Physics Thermal Expansion Important Questions

Question 18. The amount of heat required to convert a gram of ice at 0ºC into steam at 100ºC will be –

  1. 716 cal
  2. 500 cal
  3. 180 cal
  4. 100 cal

Answer: 1. 716 cal

Question 19. 10 grams of ice at 0ºC is mixed with 10 grams of water at 20ºC. The final temperature of the mixture will be

  1. 50ºC
  2. 10ºC
  3. 0ºC
  4. 15ºC

Answer: 3. 0ºC

Class 11 Physics Thermal Expansion MCQs  Question 20. The amount of heat required to change 1 gm (0ºC) of ice into water of 100°C, is :

  1. 716 cal
  2. 500 cal
  3. 180 cal
  4. 100 cal

Answer: 3. 180 cal

Question 21. The latent heat of steam is 536 cal/gm, then its value in joule/kg is:

  1. 2.25 × 106
  2. 2.25 × 103
  3. 2.25
  4. None of these

Answer: 1. 2.25 × 106

Types Of Thermal Expansion Class 11 Mcqs

Question 22. At 100ºC, the substance that causes the most severe burn is –

  1. Oil
  2. Steam
  3. Water
  4. Hot air

Answer: 2. Steam

Question 23. The SI unit of the mechanical equivalent of heat is –

  1. Joule × calorie
  2. Joule/calorie
  3. Calorie×erg
  4. Erg/calorie

Answer: 2. Joule/calorie

Question 24. Volume expansion coefficient of a gas at constant pressure equal to:

  1. Temperature
  2. Proportional to square root of temperature
  3. Inversely proportional to the square root of temperature
  4. Inversely proportional to temperature

Answer: 4. Inversely proportional to temperature

Question 25. 50 gm ice at 0ºC in an insulator vessel, 50 g water of 100ºC is mixed in it, then the final temperature of the mixture is (neglecting the heat loss) :

  1. 10ºC
  2. 0º << Tm< 20ºC
  3. 20ºC
  4. Above 20ºC

Answer: 1. 10ºC

Class 11 Physics Thermal Expansion MCQs Question 26. A bottle is filled with water at 30ºC. When it is taken on the moon then :

  1. Water will freeze
  2. Water will boil
  3. Water will decompose in hydrogen and oxygen
  4. Nothing will happen to the water

Answer: 4. Nothing will happen to the water

Thermal Expansion Class 11 Mcq

Question 27. Work done in converting one gram of ice at –10ºC into steam at 100ºC is –

  1. 3045 J
  2. 6056 J
  3. 721 J
  4. 616 J

Answer: 1. 3045 J

Question 28. The ratio of radii of two spheres of the same material is 1: 4, then the ratio of their heat capacities is

  1. \(\frac{1}{4}\)
  2. \(\frac{1}{16}\)
  3. \(\frac{1}{32}\)
  4. \(\frac{1}{64}\)

Answer: 4. \(\frac{1}{64}\)

Question 29. Heat given to a body which raises its temperature by 1°C is :

  1. Water equivalent
  2. Thermal capacity
  3. Specific heat
  4. Temperature gradient 32453351

Answer: 2. Thermal capacity

Question 30. If mass-energy equivalence is taken into account, when water is cooled to form ice, in an isolated system the mass of water should:

  1. Increase
  2. Remain unchanged
  3. Decrease
  4. First increase then decrease

Answer: 1. Increase

MPBSE Class 11 Chemistry Notes For Entropy

Entropy Class 11 Chemistry Notes

MPBSE Class 11 Chemistry Notes For  Concept Of Entropy

We have already seen that enthalpy is not the ultimate criterion of spontaneity. Another factor such as the randomness of the constituting particles (molecules, atoms, or ions) of the system may also be responsible for determining the spontaneity of a process.

Rudolf Clausius introduced a new thermodynamic property or state function known as entropy, from the Greek word ‘trope’ meaning transformation. It is denoted by the letter ‘S’. The entropy of a system is a measure of the randomness or disorderliness of its constituent particles.

The more disordered or random state of a system, the higher the entropy it has. Thus, from the molecular point of view, the entropy of a system can be defined below.

Entropy In Thermodynamics Class 11

The entropy of the system is a thermodynamic property that measures the randomness or disorderliness of the constituent particles making up the system.

According to the above definition, it may seem that entropy is related to the individual constituent particle of the system. However, thermodynamics, whose framework is based on a macroscopic approach, is not concerned with the existence and the nature of the constituent particles of the system.

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Entropy, which is a macroscopic property, is in no way related to the behavior of the individual atoms or molecules of a system, instead, it reflects the average behavior of a large collection of atoms or molecules by which a system usually consists.

MPBSE Class 11 Chemistry Notes For  Mathematical interpretation of entropy

Since heat (q) is not a state function, the exchange of heat (5q) i.e., the amount of heat absorbed or rejected by a system during a process is not an exact differential.

But in a reversible process, the ratio of the heat exchanged between the system and surroundings \(\frac{\delta q_{r e v}}{T}\) to an absolute temperature at which the heat exchanger takes place is an exact differential. Hence, the quantity indicates the change ofa state function. This function is called entropy (S). Therefore, the change in entropy,

⇒ \(d S=\frac{\delta q_{r e v}}{T}=\frac{\begin{array}{c}
\text { Reversible heat transfer between } \\
\text { system and its surroundings }
\end{array}}{\begin{array}{c}
\text { Temperature (K) at which } \\
\text { heat is transferred }
\end{array}}\) …………………………….(1)

a reversible process, the state of a system changes from state 1 (initial state) to state 2 (final state), then the change in entropy (AS) in the process can be determined by integrating the equation

⇒ \(\int_1^2 d S=\int_1^2 \frac{\delta q_{r e v}}{T} \text { or, } S_2-S_1=\int_1^2 \frac{\delta q_{r e v}}{T} \text { or, } \Delta S=\int_1^2 \frac{\delta \tilde{q} q_{r e t}}{T}\)

For the process occurring at a constant temperature, the change in entropy, \([\Delta S=\frac{1}{T} \int_1^2 \delta q_{r e v}=\frac{q_{r e v}}{T}.\)

Entropy In Thermodynamics Class 11

It is not possible to define entropy; however, we can define the change in entropy of a system ( dS or AS) undergoing a reversible process. It is defined as the ratio of reversible heat exchange between the system and its surroundings to the temperature at which the heat exchange takes place.

The relation tells us for a given input of heat into a system, the entropy of the system increases more at a lower temperature than at a higher temperature.

The randomness in a system is a measure of its entropy. The more randomness the more entropy. Therefore, for a given input of heat into a system, the randomness of the system increases more when heat is added to the system at a lower temperature than at a higher temperature.

MPBSE Class 11 Chemistry Notes For  Characteristics of entropy

The entropy of a system quantifies the unpredictability of its constituent particles. Entropy is a state function as its value for a system relies solely on the current state of the system, and its change (ΔS) during a process is determined exclusively by the beginning and final states of the system, independent of the pathway taken to execute the process.

  • Being a state function, it is a quantity that is independent of the path taken. Entropy is an extended property, as its value for a system is contingent upon the quantity of matter within the system.
  • The entropy of the cosmos grows in a spontaneous process (ΔSuniv > 0) and decreases in a non-spontaneous process (ΔSuniv < 0). At equilibrium, the change in entropy of the system is zero. At absolute zero, the entropy of a pure, perfect crystalline solid is zero.

MPBSE Class 11 Chemistry Notes For Physical significance of entropy

There exists a relationship between the entropy of the system and the randomness of its constituent particles (atoms, ions, or molecules).

The entropy of a system increases or decreases with the increase or decrease in randomness of the particles constituting the system. Therefore, entropy is the measure of the randomness of the constituent particles in a system. this is the physical significance of entropy.

Mpbse Class 11 Chemistry Notes Pdf

The change in entropy is defined in terms of a reversible process, for which it is defined as

⇒ \(d S=\frac{\delta q_{r e v}}{T}\) where 8qrev) Is the reversible exchange of heat between a system and its surroundings at 7’K. in case of an irreversible process, the change in entropy

⇒ \(d S \neq \frac{\delta q_{i r r}}{T}\) where 5<](rr represents irreversible exchange of heat between a system and its surroundings at 7’K.

As entropy is a state function, its change in a particular process does not depend on the nature of the process. Thus, the change in entropy in a process carried out reversibly is the same as the change in entropy that occurs if the same process is carried out irreversibly.

MPBSE Claass 11 Chemistry Notes For Entropy

MPBSE Class 11 Chemistry Notes For  Unit of Entropy

In the CGS system, the unit of entropy = cal.deg-1, while the unit of entropy in SI = J. K-1

Change In Entropy Of The System In Some Processes

When a system undergoes a process, its change in entropy in the process is ΔS = S2 – S1; where S1 and S2 are the entropies of the initial and final states of the system respectively, in a process.

In a process, if S2 > S1, then ΔS is positive. This means that the entropy of a system increases in the process. For example, the melting of ice or vaporization of water is associated with an increase in the entropy of the system, so AS is involved in these processes.

If S2 < S1, then ΔS is negative, indicating that the entropy of the system decreases in the process. For example, when ice is formed from liquid water or water is formed from water vapor, the entropy of the system decreases i.e., ΔS =-ve.

MPBSE Class 11 Chemistry Notes For  Change in entropy in a chemical reaction

In any chemical reaction, the initial entropy (S1) of the system means the total entropy of the reactants, and the final entropy of the system (S2) means the total entropy of the products.

Hence, the change in entropy in a chemical reaction, ΔS = \(S_2-S_1^{3 i}=\sum S_{\text {products }}-\sum S_{\text {reactants }} \text {, where, } \sum S_{\text {reactants }}\text { and } \sum S_{\text {products }}\)

Change in entropy of the system in a cyclic process:

The change in entropy of the system in any process, ΔS = S2– S1 where S1 and S2 are the initial and final entropies of the system, respectively. Because entropy is a state function, and in a cyclic process the initial and the final states of a system are the same, = S2, and the change in entropy ofthe system, ΔS = 0.

MPBSE Class 11 Chemistry Notes For  Change in entropy of the system in a reversible adiabatic process

In an adiabatic process, heat exchange does not occur between a system and its surroundings. Therefore, in a reversible adiabatic process, qrev = 0 and the change in entropy ofthe system in this process.

⇒ \(d S=\frac{\delta q_{r e v}}{T}=\frac{0}{T}=\mathbf{0} \text { or, } d s=0 \text { or, } \Delta S=0\)

Therefore, the change in entropy of a system undergoing a reversible adiabatic process is zero, i.e., the entropy of a system remains the same in an adiabatic reversible change. Owing to this a reversible adiabatic process is sometimes called an isentropic process.

Entropy Chemistry Class 11 Ncert Notes

Change in entropy of the system in an irreversible adiabatic process: Like reversible adiabatic process, heat exchange does not also occur in an irreversible adiabatic process. However, it can be shown that in an irreversible adiabatic process, the entropy change of a system is always positive, i.e., ΔS > 0.

MPBSE Class 11 Chemistry Notes For  Change in entropy of the system in an isothermal reversible process

Let us consider, a system change from state 1 to state 2 in an isothermal reversible process. Therefore, in this process, the change in entropy of the system.

⇒ \(\int_1^2 d S=\int_1^2 \frac{\delta q_{r e v}}{T} \text { or, } S_2-S_1=\frac{1}{T} \int_1^2 \delta q_{r e v} \text { or, } \Delta S=\frac{q_{r e v}}{T}\)

Since T= constant as the process is isothermal]

MPBSE Class 11 Chemistry Notes For  Change in entropy during a phase transition

Melting of a solid, vaporization of a liquid, solidification of a liquid, condensation of vapor, etc. are some examples of phase transition.

At a particular temperature, a phase transition occurs at a constant pressure. The temperature remains unaltered during the transition although heat is exchanged between the system and the surroundings.

Entropy Chemistry Class 11 Ncert Notes

The phase transition can be considered as a reversible process. If qrev of heat is absorbed during a phase transition at constant pressure and 7’K, then the change in entropy, of the system. As the process is occurring at constant pressure

⇒ \(q_{\text {re }}=q_p=\Delta H.\).

hence \(\Delta s=\frac{\Delta n}{r}\) \(\Delta s=\frac{\Delta n}{r}\) ……………………….(1)

MPBSE Class 11 Chemistry Notes For  The entropy of fusion

It In defined as the change in entropy associated with the transformation of one mole of a solid substance into its liquid phase at its melting point

According to equation (1) \(\Delta S_{f u s}=\frac{\Delta H_{f u s}}{T_f}\)

where ΔHvap= the enthalpy of fusion = die heat required for the transformation of 1 mol of a solid at its melting point into 1 ml of liquid and T1= melting point (K) of the given solid As the fusion of a solid substance is an endothermic process (Le, A> 0 ), the change in entropy due to fusion (ΔSvap) is always positive.

Entropy Definition Class 11

In the solid phase of a substance, the constituent particles are held in an ordered state. The degree of orderliness is less in the liquid phase as the particles in the liquid have freedom of motion. This is why, when a solid melts, the randomness within the system increases, causing an increase in the entropy of the system.

Example: The enthalpy of fusion of ice at 0°C and 1 atm. Therefore, the change in entropy during the transformation of 1 mol of ice into 1 mol of water at 0°C and 1 atm is-

MPBSE Class 11 Chemistry Notes For  Entropy of vaporization

It is defined as the change in entropy when one mole of a liquid at its boiling point changes to its vapor phase.

Where ΔH = the enthalpy of vaporization = the heat required for the transformation of 1 mol of liquid at its boiling point into 1 mol of vapor and Tb = boiling point ofthe liquid (K).

As the vaporization of a liquid is an endothermic process [i.e., \(\Delta H_{v a p}>0\)), the change in entropy in a vaporization process (ΔSvap) is always positive. When a liquid vaporizes, the molecular randomness in the system increases as the molecules in the vapor phase have more freedom of motion thus they have in the liquid phase. As a result, the vaporization of a liquid always leads increase in the entropy ofthe system.

Example: The enthalpy of vaporization of water at 100°C and 1 atm (ΔHvap) = 40.4 kj .mol-1

. Thus, the change in entropy due to the transformation of 1 mol of water into 1 mol of water vapor at 0°C temperature and 1 atm pressure is

⇒ \(\Delta S_{\text {vap }}=\frac{\Delta H_{\text {vap }}}{T_b}=\frac{40.4 \mathrm{~kJ} \cdot \mathrm{mol}^{-1}}{373 \mathrm{~K}}=108.3 \mathrm{~J} \cdot \mathrm{K}^{-1} \cdot \mathrm{mol}^{-1}\)

Entropy Definition Class 11

Entropy change in an isothermal reversible expansion or compression of an ideal gas

Let, n mol of an ideal gas undergoes an isothermal reversible expansion from its initial state (P1 V1 to the final state (P2, V2). The equation showing the change in entropy of the gas in the process can be derived.

The result of this derivation gives the relation—

⇒ \(\Delta S=n R \ln \frac{V_2}{V_1}=2.303 n R \log \frac{V_2}{V_1}=2.303 n R \log \frac{P_1}{P_2}\)

As the gas expands, V2 > V2 (or, P1> P2 ), so according to the equation [1], the change in entropy (AS) of the gas due to its expansion is positive i.e., the entropy of the system increases.

If the isothermal reversible compression of the same amount of gas causes a change in the state of the gas form (P1 V1 to (P2, V2), then the change in entropy of the gas is given by

⇒ \(\Delta S=n R \ln \frac{V_2}{V_1}=2.303 n R \log \frac{V_2}{V_1}=2.303 n R \log \frac{P_1}{P_2}\)

As the gas is compressed, V2 < V1 (or P2> P1 ), According to equation [2], the change in entropy (AS) of the gas due to its compression is negative, i.e., the entropy of the system decreases.

Entropy Class 11 Chemistry Notes

If the volume of a gas is increased, the gas molecules will get more space for their movement i.e., the gas molecules will move in greater volume. As a result, the randomness of the gas molecules as well as the entropy ofthe system (gas) will increase.

Thus, the entropy of a gas increases with the increase of its volume. On the other hand, the entropy of a gas decreases with the decrease of its volume.

MPBSE Class 11 Chemistry Notes For  Change in entropy of the surroundings

When a system exchanges heat with its surroundings, the entropy of the system as well as its surroundings changes.

To calculate the change in entropy of the surroundings, the given points are to be considered:

Surroundings are so large compared to one system that they serve as a heat reservoir without undergoing any temperature change.

Surroundings absorb or release heat reversibly, and during these processes, the temperature and pressure of the surroundings remain almost the same In a process at TK, if the amount of heat released by the system to the surroundings is sys, then the amount of heat absorbed by tire surroundings = -guys (the sign of q is -ve).

Therefore, in this process, the change in entropy of the surroundings \(\Delta S_{s u r r}=-\frac{q_{s y s}}{T}\)

Entropy Class 11 Chemistry Notes

Hence, the entropy of the surroundings increases if heat is released by the system to the surroundings.

In a process at T K, if the amount of heat absorbed by the system from the surroundings is q, then the amount of heat released by the surroundings will be -qsys (the sign of qsys is +ve ). So, in this process, the change in entropy of the surroundings, \(\Delta S_{\text {surr }}=-\frac{q_{s y s}}{T}.\)

Hence, the entropy of the surroundings decreases if heat is absorbed by the system from the surroundings

MPBSE Class 11 Chemistry Notes For  Standard entropy change in a chemical reaction

Standard molar entropy of a substance:

Entropy of 1 mol of a pure substance at a given temperature (usually 25°C) &1 atm pressure is termed as the standard molar entropy of that substance.

It is denoted by S° and its unit is J. K-1.mol-1.

Standard entropy change in a chemical reaction (ΔS°):

In a chemical reaction, the change in standard entropy, ΔS° = total standard entropies of the products – total standard entropies of the reactants i.e.,

⇒  \(\Delta s^0=\sum n_i s_i^0-\sum n_j s_j^0\)

Where Soi and Soj are the standard entropy of the i -tit product and j -th reactant, respectively. n1 and n2 are the number of moles of the Mil product and i-th reactant, respectively In the balanced equation.

Entropy Chemistry Class 11 Ncert Notes

In the case of the reaction.

⇒  \(a A+b B \rightarrow c C+a D\Delta S^0=\left(c S_C^0+d S_b^0\right)-\left(a S_A^0+b S_B^0\right)\)

MPBSE Class 11 Chemistry Notes For  Change in entropy of the surroundings in a chemical reaction

The change In entropy of the surroundings in a given process,

⇒ \(\Delta S_{s t u r}=\frac{-q_{s y s}}{T},\) where qÿ is the heat absorbed by the system at 7’K.

In case of chemical reactions occurring at constant pressure \(q_{s y s}=q_P=\) change in enthalpy of the reaction system

⇒\(=\Delta H . \mathrm{So}_1, \Delta \mathrm{S}_{\text {surr }}=-\frac{\Delta H}{T}\)

For exothermic reactions,

⇒ \(\Delta H<0. \text { So, } \Delta S_{\text {surr }}=+v e \text {. }\) I-Ience, the entropy of the surroundings increases In an exothermic reaction.

For endothermic reaction

⇒ \(\Delta H>0 \text {. So, } \Delta S_{\text {surr }}=-v e \text {. }\) Hence, the entropy of the surroundings decreases in an endothermic reaction.

 

MPBSE Class 11 Chemistry Notes For Thermodynamic Process

Thermodynamics Class 11 Chemistry Notes

Thermodynamic Process

Thermodynamic Process Definition:

A system is said to undergo thermodynamics. A pathway of process: The sequence of system a system process when it undergoes a processis called the pathways of process

Cyclic process Definition

A system is said to haw undergone a cyclic process I if it returns to Its initial state after a series of successive

MPBSE Class 11 Chemistry Notes For Thermodynamics Cyclic Process

Cyclic process Explanation:

Let us consider a process, in which the initial state of a gaseous system is A (Pv Tx). The system returns to its initial state after undergoing consecutive returns to its initial state through three successive operations, it is a cyclic process.

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Class 11 Chemistry Notes For Thermodynamic Process

Cyclic process Example:

The following change indicates a cyclic process because 1 mol of water (system) returns to its initial state again through successive changes

MPBSE Class 11 Chemistry Notes For Thermodynamics The Changes In States Functions Are Zero In A Cyclic Process

The changes in state functions are zero in a cyclic process. The value of a state function depends upon the present state of the system. Since the initial and the final states of the system are the same in a cyclic process, the rallies of the state functions in these two states are also the same. So die change in state function (ΔP, ΔV,ΔT,ΔU’, ΔH, etc.) becomes zero for a cyclic process

Isothermal process Definition

If the temperature of a thermodynamic system remains constant throughout a process, then the process Is said to be an Isothermal process,

At the time of conducting this process, the system Is kept lit contact with «a constant temperature heal hath (f.u, thermostat) with a high heat capacity. Such a heat hath Is capable of gaining or losing heat without changing Its temperature.

MPBSE Class 11 Chemistry Notes For Thermodynamic Process

Condition(s) for the isothermal process:

During an Isothermal process, the temperature of the system remains constant. So we can write,dT ‘[system] = constant and d’V[system] or ΔT [system] = 0.

Thermodynamic Process Class 11 Notes

Condition(s) for the isothermal process Example:

The boiling of a liquid at its boiling point Is an isothermal process. This Is because the temperature of the liquid remains constant until the entire liquid converts to vapor. Thus, the boiling ofwater at 100°C and l atm is an isothermal process.

The temperature of the system remains fixed in the isothermal process. U does not mean that heat is not absorbed or liberated by the system during this process.

Isobaric process Definition

A process in which the pressure of the system remains fixed at each step of the process is called an isobaric process.

Condition(s)t for this and the isobaric process:

As the pressure of the system during this process remains constant P{system)=constant and dp (system)or ΔP (system) =0

Isobaric process Example:

The vaporization of any liquid in an open container occurs under atmospheric pressure. If the atmospheric pressure remains fixed, then the process of vaporization is said to be an isobaric process

Isochoric process Definition:

The isochoric process in Which the volume of the system remains constant throughout the process is called an isochoric to process.

Condition(s) for the isochoric process:

The volume of the system remains constant during this process. Hence, V[system] = constant and dV[system] or ΔV [system] =0

Isochoric process  Example: The combustion of n substance In a bomb calorimeter.

For a closed system consisting of an ideal gas. the plots of P vs V for

  1. Isothermic
  2. Isobaric and
  3. Isochoric changes

These are given below:

MPBSE Class 11 Chemistry Notes For Thermodynamics Isothermal Isobaric Isochoric Changes

Thermodynamic Equilibrium Class 11

Adiabatic process Definition

A process in which no exchange of heat takes place between the system and Its surroundings at any stage of the process is called an adiabatic process.

This process requires the system to be covered with a perfect thermal insulator. But in reality, no such material is available and hence the process never becomes one hundred percent adiabatic.

Condition(s) for adiabatic process:

No heat is exchanged between a system and its surroundings In an adiabatic process. So, for such type of process q – 0; where q = heat absorbed or released by the system.

Adiabatic process Example:

The sudden expansion or compression of a gas is considered to be an adiabatic process because when a gas (system) undergoes such a process, it does not get a chance to exchange heat with its surroundings. As a result, the sudden compression of a gas results in an increase in the temperature of the gas, while its sudden expansion leads to a decrease in temperature. For example, when the valve ofa bicycle or car tire is removed, the air coming out ofthe tire undergoes very fast expansion and gets cold.

  1. The temperature of a system does not remain constant in an adiabatic process (except in the case of an adiabatic expansion of an Ideal gas against zero pressure).
  2. For a process involving more than one step, the algebraic sum of heat absorbed or released in different steps may be zero q1 + q2 + q3 + ……………….. = 0, but it does not mean that the process is an adiabatic one.

Reversible process Definition

A process It salt! to be reversible If It Is carried out Infinitesimally slowly so that In each step the thermodynamic equilibrium of the system Is maintained, and any Infinitesimal change In conditions can reverse the process to restore both the system and Its surroundings lo their Initial states.

Thermodynamic Equilibrium Class 11

Reversible process Explanation:

Let us consider that the gas (system) Is enclosed lit a cylinder lilted with a weightless and frictionless piston and the cylinder is kept At a constant temperature hath (surroundings). So, any change occurring In the ire system would be Isothermal. Since the temperature of the system and surroundings tiro the same, the system will remain In thermal equilibrium.

Let the applied external pressure acting on the piston Is the same as that of the gas. So, the system will remain In mechanical equilibrium. Hence, In this condition, the system, the gas Is In a state of thermodynamic equilibrium and pthe roperties of the system remain unchanged

MPBSE Class 11 Chemistry Notes For Thermodynamics Reversible Expansion Of A Gas

Now, if the external pressure is decreased by an infinitesimal amount dP, the volume of the gas will increase very slowly by an infinitesimal amount until the pressure of the gas becomes equal to that of the external pressure.

  • Let the infinitesimal increase of volume = dV. If the external pressure is further decreased by an Infinitesimal amount of dP, the volume of the gas will also increase by an infinitesimal amount of dV.
  • In this way, if the gas is allowed to expand very slowly in an infinite number of steps by decreasing an infinitesimal amount (dP) of the external pressure at each step, then the expansion ofthe gas will reversibly take place.
  • In a step, if the external pressure is increased by an infinitesimal amount (dP), then the volume of the gas will decrease by an infinitesimal amount dV.
  • Hence, by decreasing or increasing the external pressure by an infinitesimal amount, the direction of the process can be reversed.

Thermodynamic Equilibrium Class 11

Characteristics of a reversible process:

  • The driving force of a reversible process is infinite¬ simply greater than the opposing force and by increasing or decreasing the driving force by an infinite¬ amount, the direction of the process can be changed.
  • In this process, the system remains in thermodynamic equilibrium at every intermediate step. This process is extremely slow. From a theoretical point of view, any reversible process requires infinite time for its completion.
  • After the completion a reversible process, if the system is made to return to its initial state by traversing the forward sequence of steps in the reverse order, then both the system and its surroundings are restored to their initial states.
  • The work done by a system in a reversible process is always the maximum
  • The reversible process is extremely slow and infinite time is required to complete the process. A true reversible process is a hypothetical concept. In practice, no process can be carried out reversibly.
  • All processes occurring in nature (i.e., real processes) are irreversible. Nevertheless, the concept of reversibility has immense importance in thermodynamics

Examples of some reversible processes:

1. The vaporization ofa liquid at a particular temperature in a closed container can be considered as a reversible process. Let us consider a certain amount of water is in equilibrium with its vapour at T K temperature in a closed container. Here water and water vapour together constitute a system.

  • If the temperature of the system is increased by an infinitesimal amount of dT, then a very small amount ofwater will vaporize and a new equilibrium will be established.
  • Consequently, the vapor pressure of water will be increased by an infinitesimal amount of DP. If the temperature of the system is decreased by an infinitesimal amount of dT, the same amount of water vapour will condense to establish equilibrium.
  • As a result, the vapour pressure of water is also decreased by an infinitesimal amount of dP. So, by increasing or decreasing the driving force (i.e., by increasing or decreasing temperature) the direction of the process can reversed.
  • Thus, the vaporisation of a liquid at a particular temperature in a closed vessel approximates to a reversible process.

2. Reaction occuring in a galvanic cell is reversible in nature.

  • If an external potential applied between the two electrodes is slightly less in magnitude but opposite in sign than the electromotive force (EMF) of the cell, then the direction of flow of the current and the cell reaction remains unaltered.
  • But, if the externally applied potential slightly exceeds the EMF ofthe cell in magnitude, then the direction of the cell reaction and the direction of current are found to be reversed.
  • Therefore, by slightly increasing or decreasing the external potential (with respect to EMF of the cell), the direction of the cell reaction can be changed.
  • Thus, the reaction occuring in a galvanic cell approximates to a reversible process.

Thermodynamic Equilibrium Class 11

Irreversible process Definition

Aprocess which occurs at a finite rate with the finite ite changes in properties of the system, and at any stage during the process, the system cannot get a chance to remain in thermodynamica equilibrium is called an irreversible process

All natural processes are irreversible in nature.

Irreversible process Explanation:

Let us consider that a certain amount of a gas is enclosed in a cylinder fitted with a weightless and friction¬less piston and the cylinder is kept in a constant temperature heat-bath (thermostat).

  • Therefore ,the temperature of the system gas becomes equal to that of the (system) tsurroundings (thermostat).
  • Let the external pressure applied on the piston (P) and the pressure of the gas are the same
  • Now, if the external pressure is suddenly reduced to P’ , then the gas will expand at a finite rate and this will be irreversible because during expansion the system does not maintain in thermodynamic equilibriuig

MPBSE Class 11 Chemistry Notes For Thermodynamics Irreversible Expansion Of A Gas

Characteristics of an irreversible process:

In an irreversible process there is an appreciable difference between the driving force and the opposing force (actually, the driving force is greater than the opposing force).

  • As a result, such a process takes place at a finite rate, although sometime a very’ slow process may also be irreversible in nature.
  • In an irreversible process, the system does not remain in thermodynamic equilibrium at any stage during the Examples: O The flow of heat from an object of higher process.
  • If an irreversible process is reversed and the system is made to go back to its initial state, then the work done in the backward direction will not be the same as that in the forward direction
  • After the completion of an irreversible process, although the system can be brought back to Its initial state, its surroundings cannot be.
  • Irreversible processes complete in a finite time.

Irreversible process Examples: The flow of heat from an object of higher temperature to an object of lower temperature.

  • The downward flow of water from a mountain.
  • The expansion of a gas against zero pressure.
  • The formation of curd from milk
  • Differences between the reversible and irreversible processes

Isothermal And Adiabatic Process Class 11

Differences between the reversible and irreversible processes:

MPBSE Class 11 Chemistry Notes For Thermodynamics Reversible And Irreversible Process

Differences between the reversible and irreversible processes:

MPBSE Class 11 Chemistry Notes For Thermodynamics Isothermal And Anti Biotec

MPBSE Class 11 Chemistry Notes For Thermodynamic Properties

Thermodynamic Properties Class 11 Notes

Thermodynamic Properties And Thermodynamic State Of A System

Thermodynamic properties

The measurable physical quantities by which thermo¬ dynamic state ofa system can be defined completely are called thermodynamic properties or variables ofthe system.

Thermodynamic properties Examples:

The pressure (P), temperature (T), volume (V), composition etc., of a system are the thermodynamic properties or variables of the system because the state of the system can be defined by these variables or properties. The properties or variables required to define the state ofa system are determined by experiment.

  • Although a thermodynamic system may have many properties (like— pressure, volume, temperature, composition, density, viscosity, surface tension, etc.), to define a system we need not mention all of them since they are not independent
  • If we consider a certain number of properties or variables having certain values to define the state of a system, then the other variables will automatically be fixed. In general, to define the state of a thermodynamic system, four properties or variables are needed. These are pressure, volume, temperature and composition of the system.
  • If these variables of a thermodynamic system are fixed then the other variables will also be fixed for that system. For a closed system of fixed composition, the state of the system depends upon pressure (P), temperature (T) and volume (V) of the system.
  • If these three variables of the system (P, V, T) are fixed, then other variables (like density, viscosity, internal energy etc.) ofthe system automatically becomes fixed

Thermodynamic Properties Class 11 Notes

Thermodynamic state of a system

A system is said to be in a given thermodynamic state ifthe properties (e.g., pressure, volume, temperature etc.) deter¬ mining its state have definite values.

If the thermodynamic properties or variables of a thermodynamic system remains unchanged with time, then the system is said to be in thermodynamic equilibrium.

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A system is said to be in thermodynamic equilibrium if it attains thermal equilibrium, mechanical equilibrium, and chemical equilibrium simultaneously.

  • Thermal equilibrium: A system is said to be in thermal equilibrium if the temperature throughout the system is the same and is equal to that of its surroundings.
  • Mechanical equilibrium: If no imbalanced force exists within a system and also between the system and its surroundings, the system is said to be in mechanical equilibrium.
  • Chemical equilibrium: If the chemical composition throughout a system remains the same with time, the system is said to be in chemical equilibrium

MPBSE Class 11 Chemistry Notes For Thermodynamic Properties

State function of a thermodynamic system definition

A state function of a thermodynamic system is a property whose value depends only on the present state of the system but not on how the system arrived at the present state.

Thermodynamic System Examples:

Pressure (P), volume (V), temperature (T) , internal energy (E or U), enthalpy (H), entropy (S), Gibbs free energy (G) etc., of a thermodynamic system are the state functions because the values of these functions depend only on the present state ofa system, not on how the system arrived at that state.

Thermodynamic Properties Class 11 Notes

Thermodynamic System Change of a state function in a process:

The state of a thermodynamic system at the beginning of a process is called its initial state and the state attained by the system after completion of the process is called its final state. Let X (like P, V,T etc., of a system) be a state function of a thermodynamic system. The values of X at the beginning and at the end of a process are X1 and X2 respectively. So, the change in the value of X in the process, ΔX = X2-X1

Infinitesimal change in X is represented by dX and finite change in X is represented by AX. For example, the infinitesimal change in pressure (P) of a system is dP and the finite change is ΔP.

If X is a state function of a thermodynamic system, then dX must be a perfect differential as the integration of dX between two states results in a definite value of X

The state function of a system is a path-independent quantity:

A state function of a system depends only on the state of the system. Consequently, the change in any state function ofa system undergoing a process depends only upon the initial and final states of the system in the process, not on the path of the process. Thus the state function of a system is a path-independent quantity

CBSE Class 11 Chemistry Notes For Chapter 6 Chemical Thermodynamics The Change In State Function Of A System

Thermodynamic System Explanation:

Suppose, a system undergoes a process in which its state changes from A (initial state) to B (final state), and because of this, the value of its state function X changes from XA (value of X at state A ) to XB (value of X at state B). The process can be carried out by following three different paths as shown

But the change in X, i.e., ΔX= (XB-XA) will be the same for all three paths. This is because all the paths have identical initial and final states and consequently X has identical initial and final values for these paths.

Thermodynamics Class 11 Chemistry Notes

Thermodynamic System Example:

The change in temperature of a system depends only upon the initial and final states of the process. It does not depend on the path followed by the system to reach the final state. So the temperature of a system is a state function. Similarly, the change of other state functions like pressure (P), volume (V), internal energy (U), enthalpy (H), entropy (S), etc., (i.e. ΔP, ΔV, ΔU, ΔH, ΔS etc.) does not depend upon the path ofthe process.

Path-dependent quantity

Two terms commonly used in thermodynamics are heat (q) and work ( w). These are not the properties ofa system. They are not state functions. Heat change or work done involved in a process depends on the path of the process by which the final state of the system is achieved. Thus, heat and ; work are the path-dependent quantities.

In general, capital letters are used to denote the state functions (for example, P, V, T, U, etc.) and small letters are used to denote path functions (for example q , w, etc.). q and w are not state functions. Hence, δq or δw (S = delta) are used instead of dq or dw. Unlike dP or dV, which denotes an infinitesimal change in P or V, δq or δw does not indicate such kind of change in q or w. This is because q and w like P or F are not the properties of a system. δq and δw are generally used to denote the infinitesimal transfer of heat and work, respectively, in a process.

MPBSE Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics

Mpbse Class 11 Chemistry Chapter 6 Solutions

MPBSE Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics Question And Answers

Question 1. Give two examples of path-dependent quantities. Are they properties ofa system?
Answer:

Two path-dependent quantities are heat (q) and work ( w). These are not the properties ofa system.

Question 2. Under what conditions will a system be in thermodynamic equilibrium?
Answer:

A system will be in thermodynamic equilibrium if it simultaneously maintains mechanical equilibrium, thermal equilibrium and chemical equilibrium.

Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics

Question 3. Why is a process occurring in an open container considered to be an isobaric? What is the origin of the internal energy of a system? Why cannot the absolute value of internal energy be determined?
Answer:

A process in an open container takes place under constant atmospheric pressure. Thus, it is an isobaric process.

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Question 4. Is the internal energy of a system at 25°C greater or less than its internal energy at 50°C?
Answer:

The internal energy of a system increases with the temperature rise. So, the internal energy ofa system will be greater at 50 °C than that at 25 °C.

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Question 5. Under which condition will the pressure-volume work be, \(w=-\int_{V_1}^{V_2} P d V?\) pressure of the gas.
Answer:

⇒ \(w=-\int_{V_1}^{V_2} P_{e x} d V\)

So, in case ofa reversible process, \(w=-\int_{V_1}^{V_2} P d V\)

MPBSE Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics

Question 6. According to the first law of thermodynamics, AU = q + w. Write down the form of this equation for the following processes: Cyclic process Adiabatic process Isothermal expansion of an ideal gas Process occurring in an isolated system.
Answer:

An isolated system does not exchange energy or matter with its surroundings. So, for a process occurring in an isolated system, q = 0 and w = 0. Therefore, ΔU = q + w or, ΔU= 0 + 0 or, ΔU = 0

Equilibrium Class 11 Chemistry Solutions

Question 7. The definition of enthalpy shows that for n mol of an ideal gas H = U + nRT.
Answer:

If the enthalpy, internal energy, pressure and volume of ‘n’ mol of an ideal gas at a temperature of TK are, U, P and V respectively, then H = U+PV. For the ‘n’ mol of an ideal gas, PV = nRT. So, H = U+nRT.

Question 8. Prove that for an Ideal gas undergoing an isothermal change, AH = 0.
Answer:

The change in enthalpy of an ideal gas undergoing a process, ΔH = ΔU+nRAT. In an isothermal process, ΔT = O. So, ΔH = A{Again, in an isothermal process of an ideal gas, A U = 0 and hence AH = 0.

Question 9. Under what conditions are

  1. ΔU = qv
  2. ΔH = qp

Answer:

ΔU = qv; Conditions: Closed system, constant volume, only P-V work is considered

ΔH = qp; Conditions: Closed system, constant pressure, only P-V work is considered.

Question 10. Give an example ofa combustion reaction whose standard enthalpy change is equal to the standard enthalpy of formation ofthe compound formed in the reaction.
Answer:

At 25 C the standard heat of combustion of solid naphthalene [C10H8(s)] is 5147 kj. mol-1. this means that at 25 c and 1 atm pressure when 1 mol of solid naphthalene is completely burnt in the presence of oxygen the enthalpy change that occurs is 51747kj.

Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics

Question 11. The standard enthalpy of combustion of CxHy) at 25°C is Q kj. mol-1 . Write down the thermochemical equation for the combustion reaction of this compound.
Answer:

The combustion reaction for C(s, graphite) is:

This reaction also C(s, graphite) + O2(g)→CO2(g). represents the formation reaction of CO2(g). Therefore, at 25°C, the standard heat of combustion of C(s, graphite) = the standard heat formation of CO2(g)

Question 12. Consider the given enthalpy diagram, and > calculate the unknown AH by applying Hess’s law.
Answer:

Following the given diagram, we have

  1. A+B→ C + 2D ; ΔH = ?
  2. A + B→ E + 2D; ΔH = +27kJ
  3. E + 2D →C+ 2D;ΔH = -13kJ

Adding equation 2 and equation 3, we get A + B→C+2D; ΔH = (27- 13)kJ

= 14 kJ

Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics

Question 13.  For the reaction, A + B →D, AH is -30 kj. Suppose, D is prepared from A and B and then it is again converted into A and B by following the stages D → E → A + B. Calculate the total enthalpy change in these two stages.
Answer:

A + B → D; ΔH = -30 kj ……………………….(1)

The process D→E →A + B comprises the following two steps:

D→E ⋅⋅⋅⋅⋅(2) and E→A + B

Overall reaction: D→A + B The reaction (4) is the opposite ofthe reaction (1).

So, the enthalpy change in reaction (4) is +30 kj.

Hence, the total enthalpy change in steps (2) and (3) is +30 kJ

Question 14. Water remains in equilibrium with its vapour at 100°C and atm. Will the transformation of water into its vapour be spontaneous at this pressure and temperature?
Answer:

No. Since water and its vapour are in equilibrium, neither the forward process (water→vapour) nor the reverse process (vapour →water) is favourable

Question 15. If the process A→B occurs reversibly, then the change in entropy of the system is ΔS1. When the same process occurs irreversibly, the change in entropy of the system is ΔS2. Will the value of ΔS1 be greater than, less than or equal to the value of ΔS2?
Answer:

Since entropy is a state function, the change in entropy ofa system in a process does not depend upon whether the process is carried out reversibly or irreversibly.

Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics

Question 17. Write the relation between ΔSsys & ASsurrwhen a process reaches equilibrium. What will be the value of ΔSuniv?
Answer:

For a process at equilibrium

⇒ \(\Delta S_{\text {system }}+\Delta S_{\text {surr }}=0\text { But } \Delta S_{s y g}+\Delta S_{\text {surr }}=\Delta S_{\text {univ }} \text {. So, } \Delta S_{\text {univ }}=0\)

Question 18. Give two examples of spontaneous processes in which the disorderliness of the system decreases.
Answer:

Transformation of water into ice at 1 atm pressure and below (T’C temperature. Condensation of water vapor at1 atm pressure and below 100 C temperature.

Question 19. What do you mean by a perpetual motion machine of the second kind?
Answer:

A machine working in a cyclic process absorbs heat from a single thermal reservoir and completely converts the heat into the equivalent amount of work, is called a perpetual motion machine of a second kind. This type of machine contradicts the second law of thermodynamics, & it is impossible to construct.

Question 20. A certain amount of gas is enclosed in a container with permeable and diathermal walls. Which type of system does the gas belong to?
Answer:

The walls of the container are diathermal. So the system can exchange heat with its surroundings. Again, the walls ofthe container are permeable. So, the system can also exchange matter with its surroundings. Hence, the gas belongs to an open system.

Chemical Equilibrium Class 11 Ncert Solutions

Question 21. Does the volume of a closed system remain fixed?
Answer:

If the walls of a closed system are non-rigid or movable, then the volume of the system does not remain fixed. For example, a gas enclosed in a cylinder fitted with a movable piston is considered a closed system. Here, the volume of the gas (system) can be increased or decreased by altering the pressure of the gas (system)

Question 22. Give an example of a thermodynamic quantity which is not a state function. Is it a property of a system?
Answer:

Heat is not a state function because heat absorbed or by a system in a process depends upon the path of the realised It is not a property of the system.

Question 23. Give an example of a process which Is simultaneously isothermal and adiabatic.
Answer:

Adiabatic free expansion of an ideal gas (or isothermal free expansion of an ideal gas). The reason is that no exchange of heat occurs between the system and surroundings in this process and the temperature of the tire system remains constant throughout the process.

Question 24. At 25°C, the standard reaction enthalpy for the reaction AB3(g)→1/2A2(g)+3/2(g) is. find the standard reaction enthalpy for the reaction.
Answer:

Writing this equation. in reverse manner and multiplying both sides by 2, we get,

A2(g) + 3B2(g)→2AB3(g); -2AH°. So, at 25°C, the standard

Question 25. Mention the standard state of sulphur and iodine at 25
Answer: 

At 25°C, the standard state of sulphur is solid rhombic sulphur [S(rhombic, s)] and that of iodine is solid iodine [12(s)].

Question 26. What do you mean by ‘the enthalpy of solidification of water at 0°C and 1 atm pressure = -6.02 kj-mol-1 .’?
Answer:

This means that 6.02 kj of heat is released when one mole of water completely freezes to ice at 0°C and 1 atm pressure.

Question 27. Why are spontaneous natural processes irreversible?
Answer:

The spontaneous or natural processes are irreversible because the thermodynamic equilibrium of the system is not maintained in such types of processes.

Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics

Question 28. Which of the following will have a greater entropy?

  1. 1 mol of H2 gas (T = 300 K, V = 5ml, )
  2. 1 mol of H2 gas (T = 300 K, V = 10mL).

Answer:

As the entropy of a gas increases with the increase in its volume,

  1. The entropy of mol of H2 (T = 300 K, V = 10 mL)
  2. Will be greater than that of l mol of H2 (T = 300 K, V = 5 mL).

Question 29. For a process, ΔSsys = -15 J.K-1 .. For what value of ASsurr will the process be non-spontaneous?
Answer:

The condition of non-spontaneity of a process is \(\Delta S_{s y s}+\Delta S_{s u r r}<0.\) \(\Delta S_{s y s}=-15 \mathrm{~J} \cdot \mathrm{K}^{-1}\), then will be non-spontaneous

Question 30. A gas is allowed to expand against zero external pressure. Explain with reason whether the process is reversible or irreversible.
Answer:

The expansion ofa gas against zero external pressure is an irreversible process. As the opposing pressure is zero, the gas expands rapidly, and it cannot maintain thermodynamic equilibrium during its expansion.

Question 31. In a process, 701 J of heat is absorbed by a system and 394J of work is done by the system. What is the change in internal energy for the process?
Answer:

Given: q = +701J and w = -394 J {-ve sign as the work is done by the system)

Now, ΔU = q + w or, A U = (701- 394)J = +307 J.

So, the change in internal energy of the system = +307 J.

Question 32. The latent heat of the vaporization of water at a normal boiling point is 40.75 kJ. mol-1 . . Calculate the change in entropy of vaporization.
Answer:

Given:

⇒ \(\Delta H_{\text {vap }}\) = 4075 kJ. mol-1,

Tb =100C = 375k

⇒ \(\Delta S=\frac{\Delta H_{v a p}}{T_b}=\frac{40.75 \times 10^3 \mathrm{~J} \cdot \mathrm{mol}^{-1}}{373}=109.25 \mathrm{~J} \cdot \mathrm{mol}^{-1}\)

Question 33. Due mole of ideal gas is expanded isothermally. In this process, which of the quantity (or quantities) among w. q, ΔH , ΔH is(are) zero or >0 or <0?
Answer:

During isothermal expansion, heat is absorbed and work is done by the gas. So q > 0 and w < 0. Again internal energy and enthalpy remain the same during isothermal expansion of an ideal gas. Thus, ΔU = 0 and ΔH = 0 . For the isothermal expansion of mol of ideal gas q>0, w< 0, ΔU = 0, ΔH = 0.

Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics

Question 34. Give examples of two processes by which the internal energy of a gas can be increased.
Answer:

The internal energy of a gas can be increased by increasing the die temperature ofthe gas. If a gas is compressed adiabatically (considering only P-V work) its internal energy increases.

Question 35. Give examples of three processes in which the change in internal energy of the system is zero.
Answer:

The change in internal energy of any cyclic process is zero. The change in internal energy of an ideal gas during isothermal expansion or compression is zero. In adiabatic free expansion of an ideal gas, the change in internal energy is equal to zero.

Question 36. What do you mean by the standard enthalpy of atomisation of chlorine at 25°C = + 121 kj.mol-1 .?
Answer:

This means that at 25°C and 1 atm pressure, 121 kj of heat is required to produce 1 mol of gaseous Cl-atom from Cl2(g). Thus, the change in enthalpy for the process,

⇒ \(\frac{1}{2} \mathrm{Cl}_2(\mathrm{~g}) \rightarrow \mathrm{Cl}(\mathrm{g}); \Delta H_{\text {atom }}^0=+121 \mathrm{~kJ}\)

Solutions For Class 11 Chemistry Chapter 6 Chemical Thermodynamics

Question 37. When does the entropy of the system attain maximum value for a spontaneous or irreversible process occurring in an isolated system? Under this condition, what will be the change in entropy of the system?
Answer:

When a spontaneous or irreversible process occurs in an isolated system, the entropy of the system increases with the progress of the process towards equilibrium. The value of entropy becomes maximum when the process attains equilibrium, and there occurs no further change in the entropy ofthe system. Thus, the value of entropy is maximum at the equilibrium state ofthe process and under this condition, the change in entropy ofthe system is zero.

Question 38. Is the entropy change of a system influenced by the change in temperature? Explain.
Answer:

The entropy of a system is highly dependent on temperature. With the increase or decrease in temperature, the randomness of the constituent particles (atoms, molecules or ions) of a system increases or decreases. Now, the entropy of a system is a measure of the randomness of its constituent particles. Thus, the entropy change ofa system is influenced by the change in temperature.

MPBSE Solutions For Class 11 Chemistry Chapter 7 Equilibrium

MPBSE Class 11 Chemistry Chapter 7 Equilibrium Question And Answers

Question 1. A liquid is in equilibrium with its vapor at its boiling point. On average which property of the molecules is equal in two phases?
Answer:

At the boiling point of a liquid in equilibrium with its vapor, the average kinetic energy of the molecules in the two phases is equal.

Question 2. According to Le Chatelier’s principle, what is the effect of adding heat to a solid and liquid in equilibrium?
Answer:

In the equilibrium system solid-liquid, the forward process is endothermic. Therefore, if temperature is increased at equilibrium, then, according to Le Chatelier’s principle, equilibrium will shift to the right, thereby increasing the amount of liquid.

Question 3. Mention two ways by which the equilibrium of the L-given reaction can be shifted to the right.
Answer:

According to Le Chatelier’s principle, the equilibrium of the above reaction can be shifted to the right by the addition of excess reactants [i.e., CH3COOH(l) or C2H5OH(l) ] or by the removal of the products [i.e., CH3COOC2H5(l) or H2O(l)] from the reaction system at a given temperature, keeping the volume of the reaction system constant.

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Question 4. When steam is passed over a red-hot iron, H2 gas is produced. In this reaction, the yield of H2(g) is found to increase when the partial pressure of steam is increased. Explain.
Answer:

Reaction:

⇒ \( \mathrm{Fe}(s)+4 \mathrm{H}_{-} \mathrm{O}(\rho) \rightleftharpoons \mathrm{Fe}_{-} \mathrm{O} \cdot(\mathrm{s})+4 \mathrm{H}_{-}(g)\)

A steam is one of the reactants in the above reaction, increasing its partial pressure at equilibrium will shift the equilibrium position to the right. As a result, the yield of the product i.e., H2(g) will increase.

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Class 11 Chemistry Chapter 7 Equilibrium

Question 5. Why does not the equilibrium constant expression for a reaction involving pure solids or liquids contain the concentration terms of the solids or liquids?
Answer:

For a pure solid or liquid, molar concentration is directly proportional to density. Given that density remains constant at a specific temperature, the molar concentration of a pure solid or liquid at that temperature is a constant value, typically regarded as unity (1). Consequently, the equilibrium constant expression for a process involving pure solids or liquids excludes concentration terms for these phases.

MPBSE Solutions For Class 11 Chemistry Chapter 7 Equilibrium

Question 6. At constant temperature, the following reaction is at equilibrium in a closed container: \(\mathrm{C}(\mathrm{s})+\mathrm{H}_2 \mathrm{O}(\mathrm{g}) \rightleftharpoons \mathrm{CO}(\mathrm{g})+\mathrm{H}_2(\mathrm{~g})\) At constant temperature, if the amount of the solid carbon is reduced to half at equilibrium, then what will be the change in the concentration of CO(g)?
Answer:

At a particular temperature, the concentration of any pure solid is independent of its amount. Thus, keeping the temperature constant, if the amount of solid carbon is reduced to half at equilibrium, then its concentration will remain unchanged. So, the concentration of CO(g) will also remain unaffected.

Mpbse Solutions For Class 11 Chemistry Chapter 7 Equilibrium

Question 7. The values of the equilibrium constant (if) of a reaction at 25°C & 50°C are 2 ×10-4 & 2 ×10-2, respectively. Is the reaction exothermic or endothermic?
Answer:

With the increase in temperature, the value equilibrium constant (K) increases for an endothermic reaction, while it decreases for an exothermic reaction. For the reaction, K(50°C) > K(25°C), indicating it is an exothermic reaction.

Question 8. For a gaseous reaction, Kp > Kc. What will be the effect on equilibrium if pressure is increased at a constant temperature? Will it affect the yields of the products?
Answer:

According to the relation Kp = Kc(RT)-Δn, if Kp> Kc, then Δn > 0. The positive value of An implies that the reaction occurs with an increase in volume in the forward direction. For such a reaction, if pressure is increased at equilibrium, then according to Le Chatelier’s principle the equilibrium will shift to the left and thus the yield ofthe product will decrease.

Question 9. In the case of the thermal decomposition of H2(g) to H(g), which conditions of pressure and temperature will be favorable for an increase in the yield of H(g)?
Answer:

Since the formation of H(g) from H2(g) [H2(g) 2H(g)] occurs through decomposition, it is an endothermic reaction. Because 2 moles of H(g) are formed from 1 mole of H2(g), the reaction is associated with a volume increase. So, according to Le Chateliehs principle, the yield of H (g) will increase if the reaction is carried out at a high temperature and low pressure.

Chemical Equilibrium Class 11 Ncert Solutions

Question 10. In the case of the reaction A2(g) + 4B2(g), 2AB4(g), the change in enthalpy (ΔH) is negative. Mention the conditions of pressure and temperature at which the yield of the product, AB4(g) will decrease.
Answer:

Since ΔH < 0, it is an endothermic reaction. The volume of the reaction system decreases in the forward direction [1 molecule of A2(g) combines with 4 molecules of B2(g) to form 2 molecules of AB4(g)]. Thus; according to Le Chatelier’s principle, under the conditions of high temperature and low pressure, the yield of AB4(g) will decrease.

Question 11. How will the equilibrium of the reaction, H2(g) + I2(g) ⇌ 2HI(g) be affected if the volume of the reaction system at equilibrium is doubled, keeping the temperature constant?
Answer:

Doubling the volume of the reaction system at equilibrium will reduce the total pressure of the system by half. But for the reaction Δn = 0. So, according to Le Chatelier’s principle, the equilibrium ofthe reaction will not be affected by a change in pressure.

Question 12. In the reaction, I2+I→I3, which one acts as a Lewis base?
Answer:

In the reaction between and I2, the I ion donates an electron pair to the I2 molecule, resulting in the formation of the I3 ion [I2+I→I3]Therefore, the I ion acts as a Lewis base in this reaction.

Question 13. The pKa values of the three weak acids HA, HB, and HC are 4.74, 3.75, and 4.20, respectively. Arrange them in order their of increasing acid strengths.
Answer:

As pKa = -log10 Ksp, the smaller the value of Ka the larger the value of pKa. So, an acid with a larger pKa will have a smaller Ka. As, pKa(HB) < pKa(HC) < pKa(HA) , pKa(HB) > Kfa(HC) > Ka(HA). At a certain temperature, a higher value of Ka for an acid indicates a higher strength of the acid. Therefore, the increasing order of acid strengths of the given acids will be — HA < HC < HB.

Question 14. X and Y are two aqueous solutions of added HA with concentrations of 0.1 M & 0.01M, respectively. In which solution will the degree of ionization of U A be higher
Answer:

According to Ostwald’s dilution law, the degree of ionization of a weak electrolyte increases with the increase in dilution of its aqueous solution. Since, the concentration of solution Y is less than that of X, the degree of ionization of HA will be higher in solution Y.

Chemical Equilibrium Class 11 Ncert Solutions

Question 15. Which one of the following two acids will have a higher concentration of H3O+ ions in their 0.1(M) aqueous solutions HCl and  CH3COOH?
Answer:

HCl is a strong acid, while CH6COOH is a weak acid. Thus, HCl ionizes almost completely in aqueous solution, whereas CH3COOH undergoes partial ionization. As a result, the concentration of H30+ ions in 0.1(M) HCl solution is higher than that in 0.1(M) CH3COOH solution.

Question 16. Show that [OH-]>\(\sqrt{K_w}\) in an alkaline solution.
Answer:

We know, [H3O+] × [OH ] = Kw. In pure water, [H3O+] = [OH].

This gives \(\left[\mathrm{H}_3 \mathrm{O}^{+}\right]=\left[\mathrm{OH}^{-}\right]=\sqrt{K_w}\)

In an alkaline solution, the concentration of OH ions is higher than that in pure water.

Therefore, in an alkaline solution, \(\left[\mathrm{OH}^{-}\right]>\sqrt{K_w} \text {. }\).

Question 17. Will the concentration of HgO+ ions in pure water at 0°C be more than or less than that at 4°C?
Answer:

Ionization of water is an endothermic t process: [2H2O(1) H3O+(aq) + OH(aq)]. Hence, with, a temperature rise, the ionic product of water (Kw) increases. Therefore, KM,(4°C) In pure water, [H3O+] = Jÿw- Since,(4°C) > Kw(0°C) , the concentration of H2O+ ions in pure water at 4 °C will be higher than that at 0°C.

Question 18. At a certain temperature, what is the value for the die sum of pH and pOH for an aqueous solution? What will be its value at 25°C?
Answer:

In case of any aqueous solution at a certain temperature pH+POH=pkw. At 25C, Pkw= 14. Hence at 25C PH+POH=14.

Mpbse Class 11 Chemistry Notes Pdf

Question 19. An acid bottle labeled pH – 5 Is this acid a weak acid?
Answer:

The acid may be a weak add or a very dilute strong acid. The pH of an added solution depends upon the die concentration of H3O+ Ions in the solution. So, from the value of pH, it Is not possible to predict whether the acid IN is weak or strong.

Question 20. A, B, and C are three buffer solutions, each of which is composed of a weak acid and its salt. For increasing the pH by 0.02 units, it is found that 1.0, 1.4, and 1.2 millimol of NaOH are required for A, B, and C, respectively. Arrange the solutions in the increasing order of their buffer capacities.
Answer:

The higher the buffer capacity of a buffer solution, the greater the amount of a strong acid or a strong base to be required for increasing the pH of the buffer. It is given that increasing the pH of the buffer by the same amount requires a minimum amount of NaOH for buffer A and a maximum amount of NaOH for buffer B. Therefore, the increasing order of buffer capacity of the given buffers is A < C < B.

Question 21. Of the two bottles, one contains an HCl solution and the other a buffer solution. Each of the bottles b labelled as pH = 5. How can you identify the solutions?
Answer:

Upon measuring the pH of the solutions following the addition of equal drops of NaOH, a significant increase in pH will be observed for one solution, whilst the pH of the second solution remains relatively unchanged. A buffer solution maintains a relatively constant pH, whereas a solution of HCl results in an increase in pH.

Question 22. At a certain temperature, the Ksp of AgCl in water is 1.8 × 10-10. What will be its Ksp is a 0.1M solution of AgNO3 at some temperature.
Answer:

At a certain temperature, the solubility of AgCl decreases in the presence of a common ion (Ag+), but the solubility product of AgCl remains the same. Therefore, Ksp for AgCl in 0.1(M) aqueous solution of AgNO3 will be the same as that in water.

Question 23. You are supplied with HCOOH (pKa =3.74), CH3COOH (pKa = 4.74), and NaOH solutions. To prepare a buffer solution of pH =3.8, which acid will you select? Give reason
Answer:

The buffer capacity of a buffer solution consisting of a weak acid and its salt becomes maximum when the pH ofthe buffer solution is equal to the pKa of the weak acid. Among the given acids, the pKa of HCOOH is very close to the desired pH of the buffer solution. Hence, one should use HCOOH for preparing the buffer.

Question 24. pH of a buffer solution composed of NH3 and NH4Cl is 9.26. Will there be any change in pH if 100 mL of distilled water is added to 100 mL of this buffer solution?
Answer:

For the buffer solution made up of NH3 and NH4Cl, the pH of the solutions is given by

⇒  \(p H=14-p K_b-\log \frac{\left[\mathrm{NH}_4 \mathrm{Cl}\right]}{\left[\mathrm{NH}_3\right]}\)

If 100 mL of distilled water is added to 100 mL of this buffer solution, no change occurs in the ratio of [NH4Cl] to [NH3] and the pH ofthe solution remains the same.

Mpbse Class 11 Chemistry Notes Pdf

Question 25. Which of the given salts will undergo cationic or anionic or both cationic and anionic hydrolysis? NH4F, NaCN, AICl3, Na2CO3, NH4Cl
Answer:

Both NH4Cl and AlCl3 are the salts of strong acids and weak bases. In aqueous solution of such salts, cationic hydrolysis takes place. NaCN and Na2CO3 are the salts of weak acids and strong bases. In an aqueous solution of such salts, anionic hydrolysis takes place. NH4F is a salt of weak acid and weak base. In aqueous solution of such salt, both cationic and anionic hydrolysis take place.

Question 26. The values of pure water at 0°C and 25°C are x and y respectively. Is it greater than or less than y?
Answer:

For pure water \(p H=\frac{1}{2} p K_w\) Rise in temperature increases the value of Kw.

So, Kw(0°C) < Kw(25°C) & hence pKw(0°C) > pKw(100°C) as pKw = -log10. As in the case of pure water,

⇒ \(p H=\frac{1}{2} p K_w\) pH of pure at 0 °C will be greater than that at 25 °C. Hence, x > y.

Question 27. pKw = 12.26 at 100°C. What is the range of pH -scale at this temperature? What will be the pH of a neutral solution at this temperature?
Answer:

At 100 °C, pKw = 12.26. So, at this temperature, the pH scale ranges from 0 to 12.26. At this temperature,

⇒ \(\left[\mathrm{H}_3 \mathrm{O}^{+}\right]=\sqrt{K_w}\)

In a neutral aqueous solution.

Therefore, pH of this solution \(=\frac{1}{2} p K_w=\frac{1}{2} \times 12.26=6.13\)

Question 28. Why does the concentration of OH“ ions in pure water increase with temperature rise? Does this increase make pure water alkaline? Explain.
Answer:

In pure water, [OH] = JKw. Kw increases with temperature, and so does [OH]. This increase in [OH] does not however mean that pure water becomes alkaline at a higher temperature as pure water always contains an equal number of H3O+ and OH ions at any temperature.

Mpbse Chemistry Chapter 7 Important Questions

Question 29. All Lewis bases are fact bases—explain. Each of HCO2 and HPO can act both as Bronsted acid and hose—why? Write the formula of conjugate base and conjugate acid in each case.
Answer:

A chemical capable of accepting a proton is termed a Bronsted base, whereas a substance that can give a pair of electrons is referred to as a Lewis base. The NH3 molecule is capable of accepting a proton. Thus, it is a Brønsted base. The NH3 molecule provides a pair of electrons to establish a coordination bond with a proton. Thus, it also functions as a Lewis base. Consequently, it may be deduced that a Lewis base qualifies as a Bronsted base.

Question 30. Each of HCO3 and HPO can act both as Bronsted acid and hose—why? Write the formula conjugate base and conjugate acid in each case.
Answer:

According to the Bronsted-Lowry concept, an acid is a proton donor and a base is a proton acceptor. Since the given species are capable of accepting and donating a proton, they can act as an acid as well as a base.

Question 31. Of the two solutions of acetic acid with concentrations 0.1(N) and 0.01(N), in which one does acetic acid have a higher degree of dissociation?
Answer:

Acetic acid is a weak acid. Such an acid undergoes partial ionization in water. The degree of ionization of a weak acid in its solution depends upon the concentration of the solution. The higher the concentration of a solution of a weak acid, the smaller the degree of ionization of the acid in that solution. So, the degree of ionization of acetic acid will be higher in 0.01(N) solution.

Question 32. At a certain temperature, the ionization constants of three weak acids HA, HB, and HC are 4.0 × 10-5 5.2 × 10-4, and 8.6 × 10-3, respectively. If the molar concentrations of their solutions are the same, then arrange them in order of their increasing strength.
Answer:

The larger the ionization constant (Ka) of an acid, the greater the extent to which it undergoes ionization in its aqueous solution, and hence the higher the concentration of H30+ ions produced by it in the solution. Alternatively, the larger the value of Ka of an acid, the greater its strength.

The increasing order ofthe given acids concerning their Ka: HA < HB < HC. Consequently, the order of the given acids in terms of increasing strength in their aqueous solutions will be HA < HB < HC.

Mpbse Chemistry Chapter 7 Important Questions

Question 33. At 25°C, the ionization constant (Ka) of weak acid HA is 10-6. What will the value of the ionization constant (Kb) of its conjugate base (A-) be at that temperature?
Answer:

We know \(K_a \times K_b=10^{-14} \text { [at } 25^{\circ} \mathrm{C} \text { ]. } K_a \text { of } \mathrm{HA}=10^{-6} \text {. }\)

Therefore \(K_b \text { of } \mathrm{A}^{-}=\frac{10^{-14}}{K_a}=\frac{10^{-14}}{10^{-6}}=10^{-8} .\)

Question 34. Give an example of a salt solution whose pH is independent of salt concentration.
Answer:

In the case of a solution of a salt formed from a weak acid and a weak base, the pH of the solution does not depend upon the concentration of the salt. One such salt is CH3COONH4.

Question 35. For what kind of solids, is solid vapor equilibrium achieved easily?
Answer:

Solid substances that can be easily converted to vapors on heating under normal pressure (i.e., sublimable substances).

For example: Solid CO2, camphor, ammonium chloride, naphthalene, etc.

Question 36. At a fixed temperature, a liquid is in equilibrium with its vapors in a closed vessel. Which measurable tint quantity for the liquid gets fixed at equilibrium?
Answer:

When a liquid remains in equilibrium with its vapor in a closed vessel at a particular temperature, the vapor pressure of the liquid is found to acquire a fixed value.

Mpbse Chemistry Chapter 7 Important Questions

Question 37. At 0°C and 1 atm pressure, why is the equilibrium established between water and ice regarded as dynamic?
Answer:

At 0°C and under 1 atm pressure, ‘water ice’ equilibrium is said to be dynamic since at equilibrium the rate of melting of ice is equal to the rate of freezing of water.

Question 38. Give two examples of chemical reactions for each of the following cases:

  1. Kp > Kc
  2. Kp<Kc
  3.  Kp = Kc

Answer:

We know, Kp = Kc(RT)Δn

Kp will be greater than Kc if Δn > 0. Reactions for

Question 39. The following reaction is carried out in a closed vessel at a fixed temperature: A(g) 2B(g). The concentrations of A(g) and B (g) in the course ofthe reaction are as follows When does the reaction attain equilibrium? What are the equilibrium concentrations of A and B?
Answer:

From the time of 60 minutes, the concentrations of reactant and product are found to remain the same with time. Therefore, the reaction has arrived at an equilibrium state at 60 minutes.

At the state of equilibrium, [A] = 0.58 mol- L-1 and [B] = 0.84 mol- L-1

Question 40. Here are a few salts. Whose aqueous solution(s) at 25°C has (have) a pH greater than 7, less than 7, or equal to 7? (NH4)2SO4, CH3COONH4, K2CO3, NaNO3
Answer:

pH < 7 : (NH4)2SO4

pH> 7 : K2CO23

pH = 7 : CH3COONH4, NaNO3

MPBSE Class 12 Physics Ohm’s Law Combination Of Cells Notes

Current Electricity

Electric Current and Ohm’s Law Combination Of Cells

A group of cells combined together to increase the circuit current or potential difference is called a battery. Which finds use in torches, radios, tape recorders, etc. Three different combinations of cells are possible

  1. Series combination,
  2. Parallel combination
  3. Mixed combination.

Series Combination of Cells:

Description:

A series combination refers to a configuration of cells where the positive terminal of one cell is linked to the negative terminal of the subsequent cell, and this pattern continues throughout the arrangement.

The positive terminal of the initial cell and the negative terminal of the final cell serve as the two electrodes of the battery assembly.

Calculation of Current:

The Series Combination of Three Cells. Points A and B serve as the positive and negative electrodes of the entire assembly, respectively. Every cell is identical. The electromotive force of each cell is e, while the internal resistance is r. The circuit’s external resistance is R.

Class 12 Physics Current Electricity Electric Current and Ohm's Law Calculation Of current

The emf of the whole combination of the cells = e+ e + e = 3e

Total resistance of the circuit = R + r + r + r

= R + 3r.

So, the current through the circuit is,

⇒ \(I=\frac{3 e}{R+3 r}\)

Obviously, if the number of cells by n instead of 3 then the current through the circuit is given by

⇒ \(I=\frac{n e}{R+n r}\)

Ohm’S Law Class 12 Physics Notes

Special cases:

1. When R >> nr, we have

⇒ \(I \approx \frac{n e}{R}\)

i.e., the current through the external circuit becomes n times the current supplied by a single cell. So it can be said that when the internal resistance of each cell is sufficiently small, the current through the circuit increases if we use a series combination of the cells instead of a single cell. For this reason, a series combination of dry cells is used in a torch, radio, etc. instead of a single cell.

2. When R << nr, we have, \(I \approx \frac{n e}{n r}=\frac{e}{r}\) i.e., the current through the external circuit is the same as that supplied by a single cell. So, it can be said that when the internal resistance of each cell is sufficiently high, the current through the circuit remains unchanged even if we use a series combination of the cells instead of a single cell.

3. Out of n number of cells if x cells are connected in reverse order, the number of cells connected correctly is (n-x). The total emf of these (n-x) cells is (n-x)e. As x cells act in the opposite direction the effective emf of the combination of the cells =(n- x)e- xe = (n-2x)e. In this case, the total internal resistance of the combination nr remains unchanged. So, the current through the circuit is

⇒ \(I=\frac{(n-2 x) e}{R+n r}\)

Parallel Combination of Cells:

Description: If all the positive poles of a number of cells are connected to one point and all the negative poles to another point, then this combination of cells is called a parallel combination.

The two points referred to are connected to the main circuit. These two points act as the positive and the negative electrode of the combination.

Calculation of current: The parallel combination of three cells. Points A and B are respectively the positive and the negative electrodes of the whole combination. Each cell is identical. The Entf of each cell is e and internal resistance is r. External resistance of the circuit =R.

The emf of the combination of the cells is e. The internal resistances are arranged in parallel combinations. So if R’ be the equivalent resistance of the internal resistances, then

⇒ \(\frac{1}{R^{\prime}}=\frac{1}{r}+\frac{1}{r}+\frac{1}{r}=\frac{3}{r} \quad \text { or, } R^{\prime}=\frac{r}{3}\)

Class 12 Physics Current Electricity Electric Current and Ohm's Law Calculation of current.

The external resistance R is connected in series with R’. So, the total resistance of the circuit

⇒ \(R+R^{\prime}=R+\frac{r}{3}\)

Therefore, current through the circuit is

⇒ \(I=\frac{\text { emf of the combination of the cells }}{\text { total resistance of the circuit }}=\frac{e}{R+\frac{r}{3}}\)

Obviously, if the number of cells be n instead of 3 then the current through the circuit is given by

⇒ \(I=\frac{e}{R+\frac{r}{n}}=\frac{n e}{n R+r}\)

Mpbse Class 12 Physics Ohm’S Law Solutions

Parallel Combination of Cells Special cases:

1. When nR >> r i.e., \(R \gg \frac{1}{n} r, I \approx \frac{n e}{n R}=\frac{e}{R}\)

i.e., the current in the external resistance is the same as that supplied by a single cell. So it can be said that when \(\frac{1}{n}\) part of the internal resistance of each cell is sufficiently small, the current through the circuit remains unchanged even if we use a parallel combination of the cells instead of a single cell.

2. When nR << r i.e., \(R \ll \frac{1}{n} r, I \approx \frac{n e}{r}\) i.e., the current in the external resistance becomes n times the current supplied by a single cell.

So, it can be said that when \(\frac{1}{n}\) part of the internal resistance of each cell is sufficiently high, the current through the circuit increases if we use a parallel combination of the cells instead of a single cell.

It is evident that if the combination is not connected to an external circuit, then one or more than one closed circuit is formed with the cells between A and B.

So, if the emfs of the cells are different, a local current flows through each cell. As a result, the cells get unnecessarily wasted.

It is to be noted that in series combination if it is not connected with an external circuit, no current flows through the cells.

Combination Of Cells Class 12 Notes

Mixed Combination of Cells:

Description: In a mixed combination, several rows of cells are connected in parallel and each row contains a number of cells in series.

Suppose, a row is made with n number of identical cells in series, m number of such rows are connected in a parallel combination. So, the number of cells in the whole combination = mn. The 3 rows with 4 cells in each row. Total number of cells

= 3 x 4

= 12 [n =-4; m = 3].

Class 12 Physics Current Electricity Electric Current and Ohm's Law Mixed Combination of Cells

Calculation of current: Suppose, emf of each cell = e internal resistance of each cell = r.

Hence, emf in each row = ne internal resistance of each row = nr. Since, all the rows are connected to two fixed points A and B, the emf of the whole combination of cells =ne. Again, there are m rows each having an internal resistance nr. SoifR’ be the equivalent resistance of the internal resistances, then

⇒ \(\frac{1}{R^{\prime}}=\frac{1}{n r}+\frac{1}{n r}+\cdots \text { up to } m \text { number of terms }=\frac{m}{n r}\)

or, \(R^{\prime}=\frac{n r}{m}\)

The external resistance R is connected in series with this combination of cells. So, the resistance of the whole circuit

\(R+R^{\prime}=R+\frac{n r}{m}\)

Therefore, current through the circuit is

⇒ \(I=\frac{n e}{R+\frac{n r}{m}}=\frac{m n e}{m R+n r}\)….(1)

Combination Of Cells Class 12 Notes

Condition for maximum current: The given number of cells =mn = constant (m and n may not be constants separately). The cells are to be arranged in such a way, that the current flowing through R becomes maximum. Now, from the equation

1. We can write

⇒ \(I=\frac{m n e}{(\sqrt{m R}-\sqrt{n r})^2+2 \sqrt{m n R r}}\)…(2)

The current will be maximum when \((\sqrt{m R}-\sqrt{n r})^2\) is minimum since the other terms in the right-hand side of the equation

2. Are constants. The minimum value of \((\sqrt{m R}-\sqrt{n r})^2\) is zero, since it is a perfect square of real numbers. Hence, for maximum current in a mixed combination of cells,

⇒ \((\sqrt{m R}-\sqrt{n r})^2=0\)

or, mR = nr…(3)

So, when mR = nr, the maximum current,

⇒ \(I_{\max }=\frac{n e}{2 R}=\frac{m e}{2 r}\)…..(4)

From equation (3) we have,

⇒ \(R=\frac{n r}{m}=R^{\prime}\) = equivalent resistance of the internal resistances of the cells in combination

Hence, to get the maximum current in the circuit the cells are to be arranged in series and parallel combinations in such a way that the equivalent resistance of the internal resistances of the cells equals, the external resistance

Parallel And Series Combination Of Cells Class 12

Comparison among Different Combinations of Cells:

1. Let us take the number of cells. Now if the external resistance is much greater than the total internal resistance of the cells i.e., if R >> mnr, it is advantageous to connect the cells in series.

When \(\frac{1}{mr}\) part of the internal resistance r is much greater than the external resistance R i.e., \(\frac{r}{mr}\) >> R, it is advantageous to connect the cells in parallel. If the difference of R and r is not much, then by obeying the condition mR = nr, the magnitude of the niirreSt increased in a mixed combination.

2. In the case of parallel and mixed combinations the cells form closed circuits among themselves. So, if the connection of the cells with the external circuit remains cut off, the flow of current through the calls continues and the cells decay unnecessarily.

So it is desirable to disconnect the cells when they are not in use. In the series combination of the cells total current is divided among the cells and in the case of mixed combination the total current is divided among the rows.

For this reason, wastage of energy due to internal resistance in series combination is the highest, and In parallel combination, it is the lowest.

4. Appropriate currents and potential differences are to be developed in the external circuit to run different electrical instruments properly. This necessitates suitable connection of the cells in series, in parallel or sometimes in a mixed combination.

Ohm’s Law Combination Of Cells Numerical Examples

Example 1. Two identical cells each of emf 1.5.V are connected in series. If this combination of cells is connected to a resistance and a galvanometer in series, the current that flows through the circuit is 1 A. If the cells are connected in parallel the current becomes 0.6 A. Determine the internal resistance of each cell.
Solution:

Let the internal resistance of each cell = r, the total resistance of the galvanometer, and the external resistance =R. When the cells, are connected in series

emf = 1.5 + 1.5

= 3 V;

internal resistance = r+r

= 2r

So, \(\text { current }=\frac{3}{R+2 r} \quad\)

or, \(1=\frac{3}{R+2 r} \quad\)

or, \(R+2 r=3\)

or, R = 3 – 2r….(1)

When the cells are connected in parallel,

emf = 1.5 V; internal resistance = \(\frac{r \times r}{r+r}=\frac{r}{2}\)

So, \(\text { current }=\frac{1.5}{R+\frac{r}{2}} \quad\)

or, \(0.6=\frac{1.5}{R+\frac{r}{2}}\)

or, \(R+\frac{r}{2}=\frac{1.5}{0.6}=\frac{5}{2} \quad \text { or, } R=\frac{5}{2}-\frac{r}{2}\)…(2)

from (1) and (2) we have,

⇒ \(R+\frac{r}{2}=\frac{1.5}{0.6}=\frac{5}{2} \quad\)

or, \(R=\frac{5}{2}-\frac{r}{2}\)

or, \(3 r=1 \quad \text { or, } r=\frac{1}{3} \Omega\)

Physics Ohm’s Law Combination Of Cells Notes

Example 2. 48 similar cells each of emf 1.5 V and Internal resistance 2Ω are used for sending current through o’ resistance of 6Ω. What will be the current if the cells are connected in the following way:

  1. 6 rows and 8 cells in a row,
  2. 4 rows and 12 cells in a row.

Solution:

Emf of each cell (e) = 1.5V, internal resistance (r) = 2Ω, external resistance (R) = 6Ω.

1. No. of cells in a row (n) = 8, No.- ofrows (m) = 6. ‘ ‘

So, current,

⇒ \(I=\frac{m n e}{m R+n r}=\frac{6 \times 8 \times 1.5}{6 \times 6+8 \times 2}=\frac{72}{52}=\frac{18}{13}=1.385 \mathrm{~A}\)

2. No of cells in a rovv (n) = 12 ,No. ofrows (m) = 4.

So, current,

⇒ \(I=\frac{m n e}{m R+n r}=\frac{4 \times 12 \times 1.5}{4 \times 6+12 \times 2}=\frac{72}{48}=1.5 \mathrm{~A}\)

Example 3. What is the minimum number of cells each of emf 10V and internal resistance 1Ω to pass a current of 10 A through a resistance R of 3Ω? What is the discharging power of R?
Solution:

By arranging n number of cells in each of. the m number of rows we have,

⇒ \(I=\frac{m n e}{m R+n r}\)

To use the minimum number of cells, we are required to fulfill the condition of maximum current.

In that case,

mR = nr

or, m.3 = n.1

or, n = 3m

Again, maximum current,

⇒ \(I_0=\frac{m n e}{2 m R}=\frac{n e}{2 R} \text { or, } 10=\frac{n \times 10}{2 \times 3} \text { or, } n=6\)

∴ \(m=\frac{n}{3}=\frac{6}{3}=2\)

So, 12 cells need to be arranged in 2 rows and each row will have 6 cells.

Discharging power of R, P = \(I_0^2 R\) =(10)2 X 3 = 300 W

Parallel And Series Combination Of Cells Class 12

Example 4. Electromotive forces of E1 and E2 are ‘respectively, 4V and 8V; r1 = 0.5Ω, r2 – 1Ω. Determine the current and the terminal potential difference for each cell.

Class 12 Physics Current Electricity Electric Current and Ohm's Law Electromotive Forces

Solution:

The two cells are connected in opposition and E2 > E1.

So, current,

⇒ \(I=\frac{E_2-E_1}{r_1+r_2+4.5+\frac{3 \times 6}{3+6}}=\frac{8-4}{0.5+1+4.5+2}=\frac{4}{8}=0.5 \mathrm{~A}\)

Since the two cells are connected in series, current through each cell = 0.5 A.

Potential differences across the terminals of the second cell,

V2 = E2-Ir2

= 8-0.5 x l

= 7.5 V

Since the current is flowing through the first cell in the opposite direction, the potential difference across the terminals of the first cell,

Vl = El + Ir1

= 4 + 0.5 X 0.5

= 4.25 V

MPBSE Solutions For Class 11 Chemistry Hydrogen

Class 11 Chemistry Hydrogen Question And Answers

Question 1. Name the isotopes of hydrogen and state their mass ratio.
Answer:

The three isotopes of hydrogen are:

Protium (H or H),

Deuterium (4H or D) and

Tritium (4H or T).

Their mass ratio is protium: deuterium: tritium =1:2:3.

Question 2. What is the source of solar energy?
Answer:

The main source of solar energy is the given nuclear fusion reaction: 4H —> 2He + 2+1e° (positron) + Energy

Question 3. Although Fe is placed above hydrogen in the electrochemical series, dihydrogen is not obtained by its reaction with nitric acid. Explain with reasons.
Answer:

HNO3 being a strong oxidizing agent oxidizes dihydrogen into the water and itself gets reduced to nitrogen dioxide;\(\mathrm{Fe}+6 \mathrm{HNO}_3 \rightarrow \mathrm{Fe}\left(\mathrm{NO}_3\right)_3+3 \mathrm{NO}_2+3 \mathrm{H}_2 \mathrm{O}\)

Question 4. Give an example and formula of a compound which on electrolysis liberates dihydrogen at the anode.
Answer:

Calcium hydride (CaH2) on electrolysis, liberates dihydrogen at the anode.

Class 10 ScienceClass 11 Chemistry
Class 11 ChemistryTransformation of Sentences
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Hydrogen Class 11 Chemistry Notes

Question 5. How can one prepare H2 gas from water by using a reducing agent?
Answer:

Reaction between metals such as Na or. JC (strong reducing agents) and water produce hydrogen gas.

⇒ \(2 \mathrm{Na}+2 \mathrm{H}_2 \mathrm{O} \rightarrow 2 \mathrm{NaOH}+\mathrm{H}_2 \uparrow\)

MPBSE Solutions For Class 11 Chemistry Hydrogen

Question 6. Name two compounds, in one of which hydrogen is in +1 and in the other in -1 oxidation state.
Answer:

In HCl, hydrogen is in a +1 oxidation state and in NaH it is in a -1 oxidation state.

Question 7. Holli dihydrogen and carbon monoxide burn in the air with blue flame. How will you distinguish between them?
Answer:

Dihydrogen burns with a blue flame in the air to form water vapor which turns white anhydrous CuSO4 into hydrated copper sulfate (CuSO4-5H2O). However, carbon monoxide on combustion forms CO2 which does not bring about any change in CuSO4.

Question 8. What characteristics do you expect from an electron-deficient and an electron-rich hydride with respect to their structures?
Answer:

Electron-deficient hydrides function as electron acceptors, serving as Lewis acids, while electron-rich hydrides operate as electron donors, acting as Lewis bases. B2H6 functions as a Lewis acid, whereas NH3 acts as a Lewis base.

Question 9. Why the boiling point of HF is higher than that of other hydrogen halides?
Answer:

Due to the formation of strong intermolecular hydrogen bonding, the boiling point of HF is higher than that of other hydrogen halides.

Hydrogen Class 11 Chemistry Notes

Question 10. How can you separate H2 or D2 from He?
Answer:

Palladium, heated to a high temperature, is cooled in a helium environment mixed with hydrogen or deuterium. As a result, substantial quantities of H2 or D2 are absorbed by palladium, whereas He is not. Upon heating palladium, occluded H2 or D2 gels are released as free hydrogen or deuterium.

Question 11. Why ionic or salt-like hydrides are used to dry organic solvents?
Answer:

Ionic or salt-like hydrides are used to dry organic solvents because they readily react with water to form the corresponding metal hydroxide along with the evolution of H2O as- The solvent is then separated from the metallic hydroxide by distillation.

Question 12. Why concentration of D20 increase when electrolysis of water is carried out for a long period of time?
Answer:

Electrolysis of H20 occurs at a faster rate than D2O because the bond dissociation energy of the O—H bond is greater than that of the O—D bond. So, electrolysis of ordinary water for a prolonged period of time results in an increase in the concentration of D2O.

Question 13. How would you prepare deuterium peroxide (D2O2)?
Answer:

Deuterium peroxide (D2O2) can be prepared by the reaction between barium peroxide (BaO2) and deuterosulphuric acid (D2SO4).

⇒ \(\mathrm{BaO}_2+\mathrm{D}_2 \mathrm{SO}_4 \rightarrow \mathrm{BaSO}_4+\mathrm{D}_2 \mathrm{O}_2\)

Question 14. How will you prepare deuteroammonia (ND3) from N2?
Answer: Magnesium burns in nitrogen to produce magnesium nitride which further reacts with D2O to produce ND3 (deuteroammonia)

⇒ \(\begin{gathered} 3 \mathrm{Mg}+\mathrm{N}_2 \rightarrow \mathrm{Mg}_3 \mathrm{~N}_2 \\ \mathrm{Mg}_3 \mathrm{~N}_2+6 \mathrm{D}_2 \mathrm{O} \rightarrow 3 \mathrm{Mg}(\mathrm{OD})_2+2 \mathrm{ND}_3 \end{gathered}\)

Question 15. How will you prove that hypophosphorous acid (H3PO2) is a monobasic acid?
Answer:

When H3PO2 is treated with D2O, only one of its hydrogen atoms is replaced by D. So, it can be said that only one H-atom remains attached to O-atom in hypophosphorous acid (H3PO2). Therefore, it is a monobasic acid.

Mpbse Class 11 Chemistry Hydrogen Solutions

Question 16. Sodium chloride is less soluble in heavy water than ordinary water—why?
Answer:

As the dielectric constant of D2O is less than that of H2O, NaCl (sodium chloride) is less soluble in heavy water than ordinary water. +

Question 17. Explain why the water obtained after passing hard water through cation exchange resins is acidic.
Answer:

When hard water traverses an organic ion exchange resin, the resultant water is acidic due to the exchange of all metal ions in the water with H+ ions from the resin. Consequently, the resultant water is devoid of cations and possesses a high concentration of H+ ions. The water converts blue litmus paper to crimson.

Hydrogen hard water

Question 18. A sugar solution prepared in distilled water is passed successively through cation and anion exchange resins. What will be the taste of the collected water and why?
Answer:

Ion-exchange resins cannot remove sugar(non-electrolyte) from water. Therefore, when a sugar solution is passed successively through cation and anion exchange resins, after being collected tastes sweet.

Question 19. The hardness of the water in a tube well is 300 ppm. What do you mean by this statement?
Answer:

The statement means that in million parts by mass of the sample of water from the tube, well contains salts causing its hardness which are equivalent to 300 parts by mass of calcium carbonate.

Question 20. Will the water obtained by passing hard water through anion exchange resin, form lather with soap? Why?
Answer:

As the sample of water is not free from Ca2+ and Mg2+ ions, it will not form a lather with soap easily.

Question 21. A sample of water contains MgS04 and urea. How can they be eliminated easily?
Answer: They can be eliminated by a simple distillation method.

Hydrogen Important Questions Class 11

Question 22. It is better to preserve H202 in a polythene bottle than in a glass bottle—why?
Answer:

The decomposition of H2O2 is accelerated by the presence of glass, sunlight, and basic substances. So, H2O2 is preserved in polythene bottles rather than glass bottles.

Question 23. What do you understand by the expression ’30 volume H2O2 solution’?
Answer:

’30 volume H2O2 solution’ means that 1 mL of that solution yields 30 mL of oxygen at STP as a result of its complete decomposition.

Question 24. What do you mean by 20% H2O2 solution?
Answer:

20% H2O2 solution means that momT. of that solution contains 20g of H2O2.

Question 25. Calculate the percentage strength of 6.588 volume H2O2.
Answer:

Percentage strength of solution \(=\frac{\text { volume strength } \times 34}{11.2 \times 10}\)

\(=\frac{6.588 \times 34}{11.2 \times 10}=1.99\)