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A container with insulating walls is divided into two equal parts by a partition fitted with a valve. One part is filled with an ideal gas at pressure P and temperature T, whereas the other part is completely evacuated. If the valve is suddenly opened, the pressure and temperature of the gas will be :

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$P, T / 2$

$P / 2, T / 2$

P,T

$\frac{P}{2}, T$

answer is B.

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Detailed Solution

It is a free expansion of gas so W = 0. As walls are insulating so
$Q = 0, therefore ∆ U = 0 \Rightarrow T = constant So, P_{1} V_{1} = P_{2} V_{2} \Rightarrow P_{f} = \frac{P_{i}}{2}$

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