Thermodynamics

JEE Main level, single correct, medium

69 of 190

Question 69 of 190

A monoatomic gas having γ=53\gamma=\frac{5}{3} is stored in a thermally insulated container and the gas is suddenly compressed to (18)th \left(\frac{1}{8}\right)^{\text {th }} of its initial volume. The ratio of final pressure and initial pressure is: ( γ\gamma is the ratio of specific heats of the gas at constant pressure and at constant volume)

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Answer: (C) 32

PiViγ=PfVfγPfPi=(ViVf)γ=(8)5/3PfPi=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}

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