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JEE Main 2022 (26 Jul, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from JEE Main 2022 (26 Jul, Shift 1)

Q166JEE Main 2022 · 26 JUL · SHIFT 1Medium

Thermodynamic Processes

A monoatomic gas at pressure $P$ and volume $V$ is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be:

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Answer: (c)

Sudden compression at constant entropy is adiabatic: $P_2 = P\left(\frac{V_1}{V_2}\right)^{\gamma}$ , with $\gamma = \frac{5}{3}$ for a monoatomic gas.
$P_2 = P(8)^{5/3} = P(2^3)^{5/3} = 2^5P$
So the answer is (c) $32P$ .

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