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  • The initial pressure and volume of an ideal gas are Po and Vo. The final pressure of the gas when the gas is suddenly compressed to volume <img alt="\frac{V_o} {4}" src="https://entrancec

The initial pressure and volume of an ideal gas are Po and Vo. The final pressure of the gas when the gas is suddenly compressed to volume \frac{V_o} {4}will be :

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

Option: 1

P_o(4)^{\frac{1}{\gamma}}


Option: 2

4P_o


Option: 3

P_o


Option: 4

P_o(4)^{\gamma}


Answers (1)

best_answer

As, gas in suddenly compressed, the process is adiabatic So equation of gas for adiabatic process is: 

\begin{aligned} & \mathrm{PV}^\gamma=\text { constant } \\ & \mathrm{P}_0 V_0^\gamma=\mathrm{P}_2\left(\frac{\mathrm{V}_0}{4}\right)^\gamma \\ & \mathrm{P}_2=\mathrm{P}_0(4)^\gamma \end{aligned}

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