In an adiabatic process, which of the following statements is true? (a) The internal energy of the gas decreases as the temperature increases (b) The molar heat capacity is zero (c) Work done by the gas equals the increase in internal energy (d) The molar heat capacity is infinite

Answer: (b). Adiabatic: Δ Q = 0 for any Δ T, so C = (Δ Q)/(n Δ T) = 0. Work by the gas equals the decrease in U, and U increases with T, so (a), (c) are false; C is infinite only for isothermal, so (d) is false. So the answer is (b) the molar heat capacity is zero.

In an adiabatic process, which of the following statements is true? | JEE Main 2025 (2 Apr, Shift 1)

Q64JEE Main 2025 · 2 APR · SHIFT 1Easy

Thermodynamic Processes

In an adiabatic process, which of the following statements is true?

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Answer: (b)

Adiabatic: $\Delta Q = 0$ for any $\Delta T$ , so $C = \dfrac{\Delta Q}{n\,\Delta T} = 0$ .
Work by the gas equals the decrease in $U$ , and $U$ increases with $T$ , so (a), (c) are false; $C$ is infinite only for isothermal, so (d) is false.
So the answer is (b) the molar heat capacity is zero.

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