Heat & Thermodynamics MCQs set 2 for NTS NAT-ICS (Computer Science Track) Physics — 20 solved questions.
Q1. The first law of thermodynamics is based on the law of conservation of
Answer: Energy
Explanation: The first law, ΔU = Q - W, represents energy conservation, where ΔU is internal energy change, Q is heat added, and W is work done.
Q2. In an adiabatic expansion, the temperature of an ideal gas
Answer: Decreases
Explanation: In adiabatic expansion, Q = 0, and W is positive, so ΔU is negative, causing temperature to decrease, as per ΔU = nCvΔT.
Q3. The efficiency of a Carnot engine is 1 / 2. If the sink temperature is 300 K, the source temperature is
Answer: 600 K
Explanation: Efficiency = 1 - (T_sink / T_source). Given efficiency = 1 / 2 and T_sink = 300 K, we get 1 / 2 = 1 - (300 / T_source), so T_source = 600 K.
Q4. The specific heat capacity at constant volume (Cv) for an ideal monatomic gas is
Answer: (3 / 2)R
Explanation: For a monatomic ideal gas, Cv = (3 / 2)R, where R is the gas constant, derived from the kinetic theory of gases.
Q5. In a thermodynamic process, the pressure of a gas is kept constant. The process is
Answer: Isobaric
Explanation: An isobaric process is one where the pressure remains constant, as per the definition of isobaric processes.
Q6. The change in internal energy of a system is zero when the process is
Answer: Isothermal
Explanation: For an ideal gas, internal energy (U) depends only on temperature. In an isothermal process, temperature remains constant, so ΔU = 0.
Q7. The molar specific heat of a gas at constant pressure (Cp) is greater than at constant volume (Cv) because
Answer: Cp includes the energy required to do work
Explanation: Cp > Cv because Cp includes the energy required to do work against external pressure, as per Cp = Cv + R.
Q8. For a given amount of an ideal gas, which of the following is true?
Answer: All of the above
Explanation: Ideal gas law, PV = nRT, implies that at constant T, PV = constant; at constant V, P / T = constant; and at constant P, V / T = constant.
Q9. The temperature of a body is a measure of its
Answer: Internal energy
Explanation: Temperature is a measure of the average kinetic energy of particles, related to internal energy, not total, kinetic, or potential energy directly.
Q10. The second law of thermodynamics implies that
Answer: The total entropy of an isolated system always increases
Explanation: The second law states that the total entropy of an isolated system always increases or remains constant, never decreases.
Q11. A thermodynamic system undergoes a cyclic process. The change in internal energy is
Answer: Zero
Explanation: In a cyclic process, the system returns to its initial state, so ΔU = 0, as internal energy is a state function.
Q12. The heat capacity of a body is defined as
Answer: The amount of heat required to raise its temperature by 1 K
Explanation: Heat capacity is the amount of heat (Q) required to change the temperature (T) of a body by 1 K, given by C = Q / ΔT.
Q13. The ratio of the specific heat capacities (Cp / Cv) for a monatomic ideal gas is
Answer: 5 / 3
Explanation: For a monatomic ideal gas, Cp = (5 / 2)R and Cv = (3 / 2)R, so Cp / Cv = 5 / 3.
Q14. In an isothermal expansion of an ideal gas, the internal energy
Answer: Remains constant
Explanation: For an ideal gas, internal energy (U) depends only on temperature. In an isothermal process, T remains constant, so U remains constant.
Q15. For an ideal gas, the work done in an isothermal expansion from V1 to V2 is given by
Answer: nRT ln(V2/V1)
Explanation: Work done in isothermal expansion is given by nRT ln(V2/V1), derived from the ideal gas law and the definition of work.
Q16. A gas is compressed adiabatically. The change in internal energy is
Answer: Positive
Explanation: In adiabatic compression, work is done on the gas, increasing its internal energy, so ΔU is positive.
Q17. For a given process, the heat absorbed is 100 J and the work done is 50 J. The change in internal energy is
Answer: 50 J
Explanation: ΔU = Q - W = 100 J - 50 J = 50 J, applying the first law of thermodynamics.
Q18. The root mean square speed of the molecules of an ideal gas is proportional to
Answer: √T
Explanation: v_rms = √(3RT/M), so v_rms ∝ √T, derived from the kinetic theory of gases.
Q19. The specific heat capacity at constant pressure (Cp) for an ideal gas is
Answer: Cv + R
Explanation: For an ideal gas, Cp - Cv = R, so Cp = Cv + R, a fundamental thermodynamic relation.
Q20. A thermodynamic system undergoes a cycle. The change in internal energy is
Answer: Zero
Explanation: In a cyclic process, the initial and final states are the same, so ΔU = 0.