Question
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 a 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

Answer

It is the free expansion Internal energy of the gas remains constant, hence

$T_{2}=T$

Using at constant temperature,

$P_{1} V_{1}=P_{2} V_{2}$

$P_{2}=\frac{P}{2}$

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