Inside a cylinder having insulating walls and closed at ends is a movable piston, which divides the cylinder into two compartments. On one side of the piston is a mass m of a gas and on the other side a mass 2 m of the same gas. What fraction of volume of the cylinder will be occupied by the larger mass of the gas when the piston is in equilibrium ? Consider that the movable piston is conducting so that the temperature is the same throughout

1.  $\frac{1}{4}$

2.  $\frac{1}{3}$

3.  $\frac{1}{2}$

4.  $\frac{2}{3}$

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