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MHT CET 2026 (18 Apr, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2026 (18 Apr, Shift 2)

Q41MHT CET 2026 · 18 APR · SHIFT 2Medium

Thermodynamic Processes

An ideal gas with pressure P, volume V and temperature T is expanded isothermally to volume 2V and a final pressure $P_i$ . The same gas is expanded adiabatically to a volume 2V then the final pressure is $P_a$ . In terms of $\gamma$ , the ratio of the two specific heats for the gas, the ratio $P_i/P_a$ is

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Answer: (c)

Isothermal: $P_i = \frac{P}{2}$ . Adiabatic: $P_a = \frac{P}{2^{\gamma}}$ .
$\frac{P_i}{P_a} = \frac{2^{\gamma}}{2} = 2^{\gamma-1}$
So the answer is (c) $2^{\gamma-1}$ .

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