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MHT CET 2023 (11 May, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2023 (11 May, Shift 1)

Q156MHT CET 2023 · 11 MAY · 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 (Take $\gamma = 5/3$ )

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Answer: (a)

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

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