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MHT CET 2021 (23 Sep, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2021 (23 Sep, Shift 2)

Q194MHT CET 2021 · 23 SEP · SHIFT 2Medium

Thermodynamic Processes

The initial pressure and volume of a gas is ' $P$ ' and ' $V$ ' respectively. First by isothermal process gas is expanded to volume ' $9\,V$ ' and then by adiabatic process its volume is compressed to ' $V$ ' then its final pressure is (Ratio of specific heat at constant pressure to constant volume $= \frac{3}{2}$ )

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Answer: (c)

Isothermal $V \to 9V$ : $P_1 = \frac{P}{9}$ .
Adiabatic $9V \to V$ : $P_2 = \frac{P}{9} \times 9^{3/2} = \frac{P}{9} \times 27$
$P_2 = 3P$
So the answer is (c) 3 P.

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