Q 11-11-107JEE MainJEE Main 2022 (26 Jul, Shift 1)Easy
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
Answer: (C) $32P$
Constant entropy means adiabatic, with $\gamma = \dfrac53$:
$$P' = P\left(\frac{V}{V/8}\right)^{5/3} = P\times8^{5/3} = 32P$$
Solution by Sreeraj P, M.Sc Physics