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MHT CET 2020 (16 Oct, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2020 (16 Oct, Shift 1)

Q208MHT CET 2020 · 16 OCT · SHIFT 1Medium

Thermodynamic Processes

A monoatomic gas of pressure $p$ having volume $V$ expands isothermally to a volume $2V$ and then adiabatically to a volume $16\,V$ . The final pressure of the gas is (ratio of specific heats $= \frac{5}{3}$

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Answer: (c)

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 (c) $\frac{p}{64}$ .

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