Q. A container with insulating walls is divided into two equal parts by a partition fitted with a value. 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
A) $\frac{p}{2},\ T$
B) $\frac{p}{2},\ \frac{T}{2}$
C) $p,\ T$
D) $p,\frac{T}{2}$
Explanation
(a) Internal energy of the gas remains constant, hence
$T_{2} = T$
Using $p_{1}V_{1} = p_{2}V_{2}$
$p.\frac{V}{2} = p_{2}V_{2}$
$p_{2} = \frac{p}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.