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 $\dfrac{{V}_{0}}{4}$ will be:
(Given $\gamma$ = ratio of specific heats at constant pressure and at constant volume.)

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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 $\dfrac{{V}_{0}}{4}$ will be:

(Given $\gamma$ = ratio of specific heats at constant pressure and at constant volume.)

Quantrex Academy · Accepted Answer

Correct answer: A. P _ 0 ( 4 ) ^ γ

As the gas is suddenly compressed the process is adiabatic. So, P V ^ γ = constant ⇒ P _ 0 V _ 0 ^ γ = P · ( V _ 0 4 ) ^ γ ⇒ P = 4 ^ γ · P _ 0

The initial pressure and volume of an ideal gas are P _ 0 and V _ 0...

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