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Heat Engines, Second Law and Entropy MCQs — Physics (page 4)

165 multiple-choice questions on Heat Engines, Second Law and Entropy 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. 600 J flows from a body at 600 K to one at 300 K. The total entropy change is:

  1. +3 J/K
  2. 0 J/K
  3. +1 J/K
  4. -1 J/K

Answer: C) +1 J/K

Explanation: 600300 - 600600 = 2 - 1 = 1 J/K. SLO P-11-C-22 · Understanding

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77. A refrigerator removes 900 J from its contents using 300 J of electrical work. The heat given out to the kitchen is:

  1. 1200 J
  2. 300 J
  3. 900 J
  4. 600 J

Answer: A) 1200 J

Explanation: QH = QC + W = 1200 J. SLO P-11-C-17 · Understanding

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78. The unit of entropy is:

  1. J/K
  2. J
  3. K
  4. W

Answer: A) J/K

Explanation: Delta S = Q/T. SLO P-11-C-19 · Understanding

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79. A pendulum swinging in air gradually stops; this shows the process is:

  1. reversible
  2. cyclic and reversible
  3. irreversible
  4. isothermal

Answer: C) irreversible

Explanation: Air drag dissipates energy. SLO P-11-C-14 · Understanding

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80. A gas expanding freely into a vacuum is:

  1. irreversible
  2. adiabatic and reversible
  3. quasi-static
  4. reversible

Answer: A) irreversible

Explanation: It never re-compresses by itself. SLO P-11-C-14 · Understanding

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81. A drop of ink in water spreads out because:

  1. ink molecules repel each other strongly
  2. the water heats the ink
  3. ink is pushed by water
  4. the spread-out state is far more probable

Answer: D) the spread-out state is far more probable

Explanation: Entropy increases. SLO P-11-C-21 · Understanding

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82. An engine that turns all its heat into work would violate:

  1. the first law
  2. Newton's third law
  3. the zeroth law
  4. the second law of thermodynamics

Answer: D) the second law of thermodynamics

Explanation: Perpetual motion of the second kind. SLO P-11-C-15 · Understanding

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83. A heat engine takes in 800 J from the hot reservoir and rejects 200 J to the cold reservoir. Its efficiency is:

  1. 25%
  2. 37.5%
  3. 75%
  4. 80%

Answer: C) 75%

Explanation: W = QH - QC = 600 J; eta = WQH = 75%. SLO P-11-C-13 · Knowledge

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84. A claim that an engine working between 400 K and 300 K has 40% efficiency is:

  1. below the limit
  2. possible
  3. exactly the Carnot value
  4. impossible — the maximum is 25%

Answer: D) impossible — the maximum is 25%

Explanation: 1 - 300/400 = 0.25. SLO P-11-C-23 · Knowledge

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85. A heat engine takes in 1000 J from the hot reservoir and rejects 600 J to the cold reservoir. Its efficiency is:

  1. 60%
  2. 62.5%
  3. 40%
  4. 20%

Answer: C) 40%

Explanation: W = QH - QC = 400 J; eta = WQH = 40%. SLO P-11-C-13 · Knowledge

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86. Ice cubes in a warm drink melt rather than grow because:

  1. it decreases entropy
  2. this increases the total entropy
  3. of gravity
  4. energy is destroyed

Answer: B) this increases the total entropy

Explanation: Natural direction. SLO P-11-C-21 · Understanding

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87. The SI unit of entropy is:

  1. K J^-1
  2. J K^-1
  3. J
  4. J s

Answer: B) J K^-1

Explanation: From Delta S = Q/T. SLO P-11-C-22 · Understanding

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88. Which factor makes a process irreversible?

  1. slow change
  2. no heat transfer
  3. friction
  4. equilibrium at each step

Answer: C) friction

Explanation: Energy is dissipated as heat. SLO P-11-C-14 · Understanding

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89. Although energy is conserved, we speak of an 'energy crisis' because:

  1. temperature is falling
  2. useful energy is degraded into heat that can't easily be used
  3. the first law fails
  4. energy is destroyed

Answer: B) useful energy is degraded into heat that can't easily be used

Explanation: Second law. SLO P-11-C-19 · Understanding

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90. When food is digested, chemical energy is ultimately degraded to:

  1. potential energy stored forever
  2. mass
  3. body heat lost to the surroundings
  4. nuclear energy

Answer: C) body heat lost to the surroundings

Explanation: Living things also obey the second law. SLO P-11-C-20 · Understanding

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91. 'Time's arrow' (the one-way direction of time) is linked to:

  1. Newton's first law
  2. the speed of light
  3. the increase of entropy
  4. conservation of energy

Answer: C) the increase of entropy

Explanation: We see disorder increase with time. SLO P-11-C-21 · Understanding

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92. Melting of ice at exactly 0 °C with heat supplied infinitely slowly is:

  1. explosive
  2. impossible
  3. highly irreversible
  4. approximately reversible

Answer: D) approximately reversible

Explanation: A tiny change in temperature would reverse it. SLO P-11-C-14 · Understanding

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93. In all natural (real) processes, the total entropy of the universe:

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

Answer: D) increases

Explanation: Second law. SLO P-11-C-20 · Understanding

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94. When a gas expands isothermally, its entropy:

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

Answer: B) increases

Explanation: More space, more arrangements. SLO P-11-C-22 · Understanding

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95. The work done by a heat engine in one cycle is:

  1. W = QH QC
  2. W = QH - QC
  3. W = QC - QH
  4. W = QH + QC

Answer: B) W = QH - QC

Explanation: Energy conservation. SLO P-11-C-13 · Knowledge

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96. A gas has more entropy than a solid of the same substance because:

  1. it has fewer particles
  2. its particles have many more possible positions and speeds
  3. it is heavier
  4. it is colder

Answer: B) its particles have many more possible positions and speeds

Explanation: More microstates. SLO P-11-C-22 · Understanding

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97. The Carnot engine is important because:

  1. it is used in all cars
  2. it has 100% efficiency
  3. it needs no cold reservoir
  4. no engine working between the same two temperatures can be more efficient

Answer: D) no engine working between the same two temperatures can be more efficient

Explanation: Carnot's theorem. SLO P-11-C-16 · Understanding

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98. Heating a solid makes its atoms:

  1. line up more neatly
  2. stop vibrating
  3. vibrate more randomly about their positions
  4. lose mass

Answer: C) vibrate more randomly about their positions

Explanation: More thermal disorder. SLO P-11-C-18 · Understanding

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99. The same amount of heat produces a larger increase in disorder when added to a:

  1. hot body
  2. body at any temperature equally
  3. body at infinite temperature
  4. cold body

Answer: D) cold body

Explanation: Delta S = Q/T; small T gives large Delta S. SLO P-11-C-18 · Understanding

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100. The maximum possible efficiency of an engine working between 127 °C and 27 °C is:

  1. 25%
  2. 78.7%
  3. 75%
  4. 50%

Answer: A) 25%

Explanation: Convert to kelvin: TH = 400 K, TC = 300 K. etamax = 1 - 300400 = 25%. SLO P-11-C-23 · Knowledge

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