Published by:
CGP EDU Academic Team
Published on: September 13, 2026
A monoatomic gas $(\gamma = 5/3)$ is suddenly compressed to $\frac{1}{8}$ of its original volume adiabatically, then the pressure of the gas will change to
$(a) \frac{24}{5} (b) 8 (c) \frac{40}{3} (d) 32 times its initial pressure$
Text Solution
Verified by ExpertsThe correct answer is:
D
$\mathrm{PV}^\gamma = \text{constant} \implies \frac{P_2}{P_1} = \left(\frac{V_1}{V_2}\right)^\gamma \implies P_2 = (8)^{5/3} P_1 = 32 \, P_1$
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