Question

Inside a cylinder closed at both ends is a movable piston. On one side of the piston is mass m of a gas, and on the other side a mass 2m of the same gas. What fraction of the volume of the cylinder will be occupied by the larger mass of the gas when the piston is in equilibrium? The temperature of the gas is same throughout.

• A. $1/4$
• B. $1/2$
• C. $2/3$
• D. $1/3$

Answer 1

The correct option is C $2/3$

$\begin{array}{c}P\left(V-V_1\right)=\frac{m}{M}RT------\left(1\right)\\ andP{V}_1=\frac{2m}{M}RT------\left(2\right)\\ \Rightarrow \frac{V_1}{V_2}=\frac{2}{3}\end{array}$

Hence,

option $\left(C\right)$ is correct answer.