Question:medium

The initial pressure and volume of an ideal gas are \( P_0 \) and \( V_0 \). The final pressure of the gas when the gas is suddenly compressed to volume \( V_0/4 \) will be: (Given \( \gamma \) = ratio of specific heats at constant pressure and at constant volume)

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In thermodynamic problems, words like "sudden" or "rapid" imply an adiabatic process (\( PV^\gamma = \text{const} \)), while "slow" implies an isothermal process (\( PV = \text{const} \)). \

Updated On: Apr 19, 2026

\( P_0 \)
\( 4P_0 \)
\( P_0(4)^\gamma \)
\( P_0(4)^{1/\gamma} \)

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The Correct Option is C

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The initial pressure and volume of an ideal gas are \( P_0 \) and \( V_0 \). The final pressure of the gas when the gas is suddenly compressed to volume \( V_0/4 \) will be: (Given \( \gamma \) = ratio of specific heats at constant pressure and at constant volume)

Show Hint

The Correct Option is C

Solution and Explanation

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