A gas is compressed adiabatically, which one of the following statements is NOT true? (a) There is no heat supplied to the system (b) The temperature of the gas increases. (c) There is no change in the internal energy (d) The change in the internal energy is equal to the work done on the gas.

Answer: (c). Adiabatic: Δ Q = 0, so (a) is true. First law: Δ U = Δ Q - W = -W; on compression W 0, so (d) is true. Δ U > 0 means the temperature rises, so (b) is true. Internal energy does change, so (c) is NOT true. So the answer is (c).

A gas is compressed adiabatically, which one of the following… | JEE Main 2023 (10 Apr, Shift 2)

Q143JEE Main 2023 · 10 APR · SHIFT 2Easy

Thermodynamic Processes

A gas is compressed adiabatically, which one of the following statements is NOT true?

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Answer: (c)

Adiabatic: $\Delta Q = 0$ , so (a) is true.
First law: $\Delta U = \Delta Q - W = -W$ ; on compression $W < 0$ , so $\Delta U =$ work done on the gas $> 0$ , so (d) is true.
$\Delta U > 0$ means the temperature rises, so (b) is true.
Internal energy does change, so (c) is NOT true. So the answer is (c).

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