Ideal gas at pressure P undergoes free expansion from its initial volume of 1.01 litre to 10.1 litre. The final pressure of the gas is?

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$\frac{P}{10^{γ}}$

$P (10) γ$

$\frac{P}{10}$

10 P

answer is D.

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Detailed Solution

Free expansion, dW = 0 and dQ = 0
$\Rightarrow Temperature = Constant \Rightarrow P_{1} V_{1} = P_{2} V_{2} \Rightarrow P_{2} = P (\frac{1.01}{10.1}) = \frac{P}{10}$

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