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Inside a cylinder having insulating wall...

Inside a cylinder having insulating walls and dosed 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

A

`1/4`

B

`1/3`

C

`1/2`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Apply `PV=nRT`
`P(V-V_1)=m/MRT" "…(i)`
and `PV_1=(2m)/MRT" "…(ii)`
`rArrV_1/V=2/3`
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