The internal energy of a gas will increase when it (a) expands adiabatically. (b) is compressed adiabatically. (c) expands isothermally. (d) is compressed isothermally.

Answer: (b). Isothermal: T constant, so Δ U = 0; (c), (d) are out. Adiabatic: Δ U = -W. Compression means W 0. So the answer is (b) is compressed adiabatically.

The internal energy of a gas will increase when it | MHT CET 2024 (9 May, Shift 1)

Q95MHT CET 2024 · 9 MAY · SHIFT 1Easy

Thermodynamic Processes

The internal energy of a gas will increase when it

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Answer: (b)

Isothermal: $T$ constant, so $\Delta U = 0$ ; (c), (d) are out.
Adiabatic: $\Delta U = -W$ . Compression means $W < 0$ , so $\Delta U > 0$ .
So the answer is (b) is compressed adiabatically.

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