A container with insulating walls is divided into two equal parts… - Vidyadip

MCQ

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

✓
$\frac{P}{2}\,,\,T$
B
$\frac{P}{2}\,,\,\frac{T}{2}\,$
C
$P, T$
D
$P\,,\,\,\frac{T}{2}\,$

✓

Answer

Correct option: A.

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

a
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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