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Question

An ideal gas is filled in a cylinder, which is fitted with a movable non-conducting piston as shown in the figure. The gas in the cylinder is heated slowly. The gas expands and pistons moves towards right. If the temperature of the gas is increased slowly from T0 to 2T0, find the displacement of the piston. (Given atmospheric pressure = P0 and area of cross-section of the cylinder = A).




A
V02A
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B
5V02A
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C
2V03A
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D
V0A
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Solution

The correct option is D V0A
Initially

PA=P0AP=P0

Finally
Pf=P0

volume inceases as pressure remains constant in this process.


V1T1=V2T2

V0T0=V0+Ax2T0

V0=V0+Ax2

2V0=V0+Ax

x=V0A

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