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Kinetic Theory and First Law of Thermodynamics MCQs — Physics (page 4)

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.

76. Joule's paddle-wheel experiment showed that:

  1. mechanical work can raise internal energy just as heating can
  2. temperature is energy
  3. work cannot be converted to heat
  4. heat is a fluid

Answer: A) mechanical work can raise internal energy just as heating can

Explanation: Mechanical equivalent of heat. SLO P-11-C-11 · Application

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77. The number of moles in 3.01 10^23 molecules is:

  1. 1.81 10^47 mol
  2. 0.5 mol
  3. 3.01 mol
  4. 2 mol

Answer: B) 0.5 mol

Explanation: n = N/NA. SLO P-11-C-04 · Knowledge

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78. A gas in a rigid container is heated. All the heat supplied goes into:

  1. moving the container
  2. increasing internal energy (raising its temperature)
  3. work done by the gas
  4. nothing

Answer: B) increasing internal energy (raising its temperature)

Explanation: W = 0. SLO P-11-C-12 · Understanding

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79. A gas at 1 10^5 Pa, 2 L and 300 K is changed to 2 10^5 Pa and 600 K. Its new volume is:

  1. 1 L
  2. 8 L
  3. 4 L
  4. 2 L

Answer: D) 2 L

Explanation: P1V1T1 = P2V2T2 Rightarrow V2 = 2 L. SLO P-11-C-03 · Application

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80. A graph of p against V for a gas at constant temperature is:

  1. a straight line through the origin
  2. a curve (hyperbola), p falling as V rises
  3. a vertical line
  4. a horizontal line

Answer: B) a curve (hyperbola), p falling as V rises

Explanation: pV = constant. SLO P-11-C-10 · Application

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81. A fixed mass of gas at 100 kPa occupies 30 L. At constant temperature it is changed to 20 L. The new pressure is:

  1. 75 kPa
  2. 300 kPa
  3. 66.7 kPa
  4. 150 kPa

Answer: D) 150 kPa

Explanation: p1V1 = p2V2 Rightarrow p2 = 100 3020 = 150 kPa. SLO P-11-C-10 · Application

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82. The first law does NOT tell us:

  1. the direction in which heat flows naturally
  2. that energy is conserved
  3. how heat and work change internal energy
  4. that Delta U = Q - W

Answer: A) the direction in which heat flows naturally

Explanation: That is the second law. SLO P-11-C-11 · Application

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83. When work is done on a gas (with no heat flow), its internal energy:

  1. increases
  2. decreases
  3. becomes zero
  4. stays the same

Answer: A) increases

Explanation: It is compressed and warms up. SLO P-11-C-07 · Understanding

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84. The product kT at 300 K is about:

  1. 2.5 10^3 J
  2. 4.1 10^-25 J
  3. 1.8 10^26 J
  4. 4.1 10^-21 J

Answer: D) 4.1 10^-21 J

Explanation: 1.38 10^-23 300; a typical molecular energy scale. SLO P-11-C-04 · Knowledge

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85. A gas absorbs 300 J of heat and does 300 J of work. The change in its internal energy is: (Use Q = Delta U + W, where Q = heat supplied to the gas and W = work done by the gas.)

  1. 600 J
  2. 0 J
  3. 100 J
  4. 50 J

Answer: B) 0 J

Explanation: Delta U = Q - W = 300 - (300) = 0 J. SLO P-11-C-08 · Application

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86. 1 10^23 molecules of an ideal gas at 300 K fill 0.001 m^3. The pressure is (k = 1.38 10^-23 J/K):

  1. 41,400 Pa
  2. 4.14 10^6 Pa
  3. 8.28 10^5 Pa
  4. 4.14 10^5 Pa

Answer: D) 4.14 10^5 Pa

Explanation: PV = NkT Rightarrow P = NkTV = 4.14 10^5 Pa. SLO P-11-C-03 · Application

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87. An isolated system has Q = 0 and W = 0, so its internal energy:

  1. remains constant
  2. becomes zero
  3. decreases
  4. increases

Answer: A) remains constant

Explanation: Conservation of energy. SLO P-11-C-11 · Application

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88. At constant temperature, compressing a gas raises its pressure because:

  1. they lose energy
  2. the same molecules hit a smaller wall area more often
  3. they move faster
  4. they become heavier

Answer: B) the same molecules hit a smaller wall area more often

Explanation: Boyle's law: p propto 1/V. SLO P-11-C-09 · Understanding

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89. Car tyre pressure is higher after a long drive because:

  1. the air in the tyres gets warmer at roughly constant volume
  2. air leaks in
  3. the air molecules multiply
  4. the tyre shrinks

Answer: A) the air in the tyres gets warmer at roughly constant volume

Explanation: p propto T. SLO P-11-C-09 · Understanding

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90. Two bodies in thermal equilibrium must have the same:

  1. volume
  2. temperature
  3. heat content
  4. specific heat capacity

Answer: B) temperature

Explanation: Only temperature need be equal. SLO P-12-C-01 · Knowledge

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91. A perpetual motion machine of the first kind is impossible because:

  1. heat flows from cold to hot
  2. energy cannot be created
  3. friction is zero
  4. entropy always decreases

Answer: B) energy cannot be created

Explanation: First law. SLO P-11-C-11 · Application

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92. A thermometer gives a correct reading only when:

  1. it is colder than the body
  2. it has reached thermal equilibrium with the body
  3. it is hotter than the body
  4. it is first heated

Answer: B) it has reached thermal equilibrium with the body

Explanation: Then it has the same temperature. SLO P-12-C-01 · Knowledge

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93. A metal spoon and a wooden spoon in the same room feel different to touch, yet they are:

  1. both at 0 °C
  2. at the same temperature
  3. at different temperatures
  4. both at body temperature

Answer: B) at the same temperature

Explanation: Metal conducts heat away from your hand faster. SLO P-12-C-01 · Knowledge

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94. An aerosol can feels cold after spraying for a while because:

  1. heat flows in
  2. work is done on the gas
  3. the expanding gas does work and loses internal energy
  4. the liquid is refrigerated

Answer: C) the expanding gas does work and loses internal energy

Explanation: Expansion cools. SLO P-11-C-07 · Understanding

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95. The average translational kinetic energy of a gas molecule at 273 K is (k = 1.38 10^-23 J/K):

  1. 1.7 10^-20 J
  2. 3.77 10^-21 J
  3. 5.65 10^-21 J
  4. 1.13 10^-20 J

Answer: C) 5.65 10^-21 J

Explanation: barEk = 32kT = 1.5 1.38 10^-23 273 = 5.65 10^-21 J. SLO P-11-C-02 · Understanding

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96. Gas molecules are assumed to move:

  1. all at the same speed in one direction
  2. randomly in all directions
  3. only along one axis
  4. only upward

Answer: B) randomly in all directions

Explanation: Random motion. SLO P-11-C-05 · Understanding

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97. pV = nRT and pV = NkT are the same equation because:

  1. nR = Nk
  2. nk = NR
  3. n = N
  4. R = k

Answer: A) nR = Nk

Explanation: N = nNA and R = NAk. SLO P-11-C-04 · Knowledge

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98. At low temperature a real gas departs from ideal behaviour because:

  1. molecules disappear
  2. molecules move faster
  3. pressure becomes infinite
  4. intermolecular attractions become significant

Answer: D) intermolecular attractions become significant

Explanation: Slow molecules feel attractive forces. SLO P-11-C-05 · Understanding

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99. In thermal equilibrium, molecules of two gases in contact have the same:

  1. average translational kinetic energy
  2. mass
  3. speed
  4. number

Answer: A) average translational kinetic energy

Explanation: Temperature measures average KE. SLO P-12-C-01 · Knowledge

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100. If the absolute temperature of an ideal gas doubles, the average KE of its molecules:

  1. stays the same
  2. doubles
  3. halves
  4. quadruples

Answer: B) doubles

Explanation: barEk propto T. SLO P-11-C-02 · Understanding

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