A monoatomic gas having γ=(5)/(3) is stored in a thermally insulated container and the gas is suddenly compressed to ((1)/(8))^ th of its initial volume. The ratio of final pressure and initial pressure is: ( γ is the

Correct answer: C. 32 aligned & P_i V_i^γ=P_f V_f^γ & (P_f)/(P_i)=((V_i)/(V_f))^γ=(8)^ 5 / 3 & (P_f)/(P_i)=32 aligned

JEE Main 20258 AprilEvening Shift

JEE Main 2025 · 8 April · Evening Shift · Physics · Thermodynamics

A monoatomic gas having γ=(5)/(3) is stored in a thermally...

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)

C. 32

\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}