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MHT CET 2021 (21 Sep, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2021 (21 Sep, Shift 1)

Q195MHT CET 2021 · 21 SEP · SHIFT 1Medium

Thermodynamic Processes

A monoatomic gas at pressure ' $P$ ' having volume ' $V$ ' expands isothermally to a volume $2\,V$ and then adiabatically to a volume $16\,V$ . The final pressure of the gas is $\left(\gamma = \frac{5}{3}\right)$

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Answer: (a)

Isothermal $V \to 2V$ : $P_1 = \frac{P}{2}$ .
Adiabatic $2V \to 16V$ : $P_2 = \frac{P}{2}\left(\frac{1}{8}\right)^{5/3} = \frac{P}{2} \times \frac{1}{32}$
So the answer is (a) $\frac{P}{64}$ .

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