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Kinetic Theory and First Law of Thermodynamics MCQs — Physics (page 3)

180 multiple-choice questions on Kinetic Theory and First Law of Thermodynamics from Physics, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.

51. Using R = 8.31 and NA = 6.02 10^23, k works out to:

  1. 5.00 10^24 J/K
  2. 1.38 10^-23 J/K
  3. 1.38 10^23 J/K
  4. 7.24 10^22 J/K

Answer: B) 1.38 10^-23 J/K

Explanation: 8.316.02 10^23 = 1.38 10^-23. SLO P-11-C-04 · Knowledge

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52. The molar gas constant R has the unit:

  1. N m^-2
  2. J K^-1
  3. J mol^-1 K^-1
  4. J mol^-1

Answer: C) J mol^-1 K^-1

Explanation: R = pVnT. SLO P-11-C-03 · Application

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53. 1 mol of an ideal gas at 273 K occupies 0.0224 m^3. Its pressure is (R = 8.31 J mol^-1 K^-1):

  1. 1.01 10^5 Pa
  2. 10,100 Pa
  3. 1.01 10^6 Pa
  4. 2.03 10^5 Pa

Answer: A) 1.01 10^5 Pa

Explanation: P = nRTV = 1 8.31 2730.0224 = 1.01 10^5 Pa. SLO P-11-C-03 · Application

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54. Boyle's law states that at constant temperature:

  1. p propto T
  2. p propto 1V
  3. V propto T
  4. p propto V

Answer: B) p propto 1V

Explanation: pV = constant. SLO P-11-C-09 · Understanding

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55. Charles's law states that at constant pressure:

  1. p propto V
  2. pV = 0
  3. V propto 1T
  4. V propto T

Answer: D) V propto T

Explanation: With T in kelvin. SLO P-11-C-09 · Understanding

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56. 1 mol of an ideal gas is heated at constant pressure so its temperature rises by 100 K. The work done by the gas is:

  1. 416 J
  2. 1660 J
  3. 1250 J
  4. 831 J

Answer: D) 831 J

Explanation: W = pDelta V = nRDelta T = 1 8.31 100 = 831 J. SLO P-11-C-06 · Application

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57. The internal energy of a gas decreases by 60 J while it does 40 J of work. The heat supplied to it is: (Use Q = Delta U + W, where Q = heat supplied to the gas and W = work done by the gas.)

  1. -200 J
  2. -10 J
  3. -40 J
  4. -20 J

Answer: D) -20 J

Explanation: Q = Delta U + W = -60 + 40 = -20 J. (Negative: heat flows out.) SLO P-11-C-08 · Application

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58. Kinetic theory assumes that between collisions the molecules:

  1. move in straight lines at constant speed (no intermolecular forces)
  2. are at rest
  3. move in circles
  4. attract each other

Answer: A) move in straight lines at constant speed (no intermolecular forces)

Explanation: Forces act only during collisions. SLO P-11-C-05 · Understanding

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59. A balloon taken from a warm room into a cold freezer:

  1. keeps the same size
  2. expands
  3. bursts
  4. shrinks

Answer: D) shrinks

Explanation: Lower T, slower molecules, less volume needed at the same pressure. SLO P-11-C-09 · Understanding

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60. Gas pressure is explained by kinetic theory as:

  1. heat flow
  2. the attraction between molecules
  3. the force per unit area from molecules colliding with the walls
  4. the weight of the gas

Answer: C) the force per unit area from molecules colliding with the walls

Explanation: Rate of change of momentum at the walls. SLO P-11-C-05 · Understanding

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61. In the equivalent form Delta U = Q + Won, the term Won is:

  1. the work done by the system
  2. the heat lost
  3. the change in temperature
  4. the work done on the system

Answer: D) the work done on the system

Explanation: Won = -Wby, so this matches Q = Delta U + Wby. SLO P-11-C-08 · Application

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62. A gas expands at a constant pressure of 10^5 Pa from 2 L to 6 L while absorbing 1000 J of heat. Its internal energy increases by:

  1. 600 J
  2. 1400 J
  3. 400 J
  4. 1000 J

Answer: A) 600 J

Explanation: W = pDelta V = 400 J; Delta U = Q - W = 600 J. SLO P-11-C-08 · Application

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63. Ideal gas behaviour is a good approximation for a gas of:

  1. very low temperature near liquefaction
  2. high density
  3. solid particles
  4. low density

Answer: D) low density

Explanation: Molecules far apart. SLO P-11-C-05 · Understanding

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64. At constant pressure, a gas expands when heated because:

  1. the container shrinks
  2. gravity weakens
  3. the molecules grow
  4. faster molecules need more space to keep the same collision rate per unit area

Answer: D) faster molecules need more space to keep the same collision rate per unit area

Explanation: V ∝ T at constant p. SLO P-11-C-09 · Understanding

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65. When the volume of a gas does not change, the work done by it is:

  1. nRT
  2. maximum
  3. zero
  4. pV

Answer: C) zero

Explanation: Delta V = 0. SLO P-11-C-06 · Application

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66. Rubbing your hands raises their temperature because:

  1. work done against friction increases internal energy
  2. blood cools
  3. heat flows from the air
  4. the hands lose mass

Answer: A) work done against friction increases internal energy

Explanation: Work → internal energy. SLO P-11-C-02 · Understanding

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67. The kinetic theory assumes the number of molecules is:

  1. zero
  2. very large, so statistical averages can be used
  3. very small
  4. exactly one

Answer: B) very large, so statistical averages can be used

Explanation: Averages are meaningful. SLO P-11-C-05 · Understanding

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68. In a cyclic process (gas returns to its initial state):

  1. net heat absorbed = net work done
  2. net heat is always zero
  3. net work is always zero
  4. internal energy increases

Answer: A) net heat absorbed = net work done

Explanation: Delta U = 0 over a cycle. SLO P-11-C-11 · Application

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69. A fixed mass of gas at 1.5 10^5 Pa occupies 4 L. At constant temperature it is changed to 6 L. The new pressure is:

  1. 1 10^5 Pa
  2. 2 10^5 Pa
  3. 50,000 Pa
  4. 2.25 10^5 Pa

Answer: A) 1 10^5 Pa

Explanation: p1V1 = p2V2 Rightarrow p2 = 1.5 10^5 46 = 1 10^5 Pa. SLO P-11-C-10 · Application

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70. The average translational kinetic energy of a gas molecule at 300 K is (k = 1.38 10^-23 J/K):

  1. 1.24 10^-20 J
  2. 4.14 10^-21 J
  3. 1.86 10^-20 J
  4. 6.21 10^-21 J

Answer: D) 6.21 10^-21 J

Explanation: barEk = 32kT = 1.5 1.38 10^-23 300 = 6.21 10^-21 J. SLO P-11-C-02 · Understanding

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71. Two identical blocks, one at 20 °C and one at 60 °C. The block with greater internal energy is:

  1. impossible to say even though they are identical
  2. the block at 60 °C
  3. the block at 20 °C
  4. they are equal

Answer: B) the block at 60 °C

Explanation: Same material and mass: higher temperature, more internal energy. SLO P-11-C-12 · Understanding

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72. Which gas is closest to ideal at room conditions?

  1. water vapour near boiling
  2. ammonia near liquefaction
  3. helium
  4. carbon dioxide at high pressure

Answer: C) helium

Explanation: Small, weakly interacting atoms. SLO P-11-C-05 · Understanding

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73. The first law of thermodynamics is a form of the law of conservation of:

  1. momentum
  2. energy
  3. charge
  4. mass

Answer: B) energy

Explanation: Energy in = increase stored + energy out. SLO P-11-C-08 · Application

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74. In Q = Delta U + W, Q is the heat supplied to the gas and W is:

  1. the power
  2. the weight
  3. the work done on the gas
  4. the work done by the gas

Answer: D) the work done by the gas

Explanation: Energy supplied = increase in internal energy + work out. SLO P-11-C-08 · Application

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75. When a gas expands against a piston, work is done:

  1. by nobody
  2. by the gas on the surroundings
  3. on the gas by the surroundings
  4. only on the container walls

Answer: B) by the gas on the surroundings

Explanation: The gas pushes the piston out. SLO P-11-C-07 · Understanding

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