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JEE MAIN 2025
08-04-2025 S2
Question
A monoatomic gas having $\gamma=\frac{5}{3}$ is stored in a thermally insulated container and the gas is suddenly compressed to $\left(\frac{1}{8}\right)^{\text {th }}$ of its initial volume. The ratio of final pressure and initial pressure is: $(\gamma$ is the ratio of specific heats of the gas at constant pressure and at constant volume)
Select the correct option:
A
32
B
40
C
16
D
28
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$\begin{aligned} & P_i V_i^\gamma=P_f V_f^\gamma \\ & \frac{P_f}{P_i}=\left(\frac{V_i}{V_f}\right)^\gamma=(8)^{5 / 3} \\ & \frac{P_f}{P_i}=32\end{aligned}$
Question Tags
JEE Main
Physics
Medium
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