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CGP EDU Academic Team
Published on: September 12, 2026
Initial pressure and volume of a gas are P and V respectively. First it is expanded isothermally to volume 4V and then compressed adiabatically to volume V. The final pressure of gas will be
Text Solution
Verified by ExpertsThe correct answer is:
B
In isothermal process $P_1 V_1 = P_2 V_2$
$or PV = P_{2} \times 4V \therefore P_{2} = \frac{P}{4} \\ \text{In adiabatic process} \\ P_{2} V_{2}^{\gamma} = P_{3} V_{3}^{\gamma} \Rightarrow \frac{P}{4} \times (4V)^{1.5} = P_{2} V^{1.5} \Rightarrow P_{3} = 2P$
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