There are two samples A and B of a certain gas, which are initially at the same temperature and pressure. Both are compressed from volume v to v/2. Sample A is compressed isothermally while sample B is compressed adiabatically. The final pressure of A is (a) twice that of B. (b) equal to that of B. (c) more than that of B. (d) less than that of B.

Answer: (d). Isothermal: PA = 2P. Adiabatic: PB = 2γP. γ > 1 ⇒ 2γ > 2, so PA < PB. So the answer is (d) less than that of B.

There are two samples A and B of a certain gas, which are initially… | MHT CET 2024 (3 May, Shift 1)

Q125MHT CET 2024 · 3 MAY · SHIFT 1Medium

Thermodynamic Processes

There are two samples A and B of a certain gas, which are initially at the same temperature and pressure. Both are compressed from volume v to $\frac{v}{2}$ . Sample A is compressed isothermally while sample B is compressed adiabatically. The final pressure of $A$ is

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Answer: (d)

Isothermal: $P_A = 2P$ . Adiabatic: $P_B = 2^{\gamma}P$ .
$\gamma > 1 \Rightarrow 2^{\gamma} > 2$ , so $P_A < P_B$ .
So the answer is (d) less than that of B.

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