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A vertical closed cylinder is separated ...

A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is `l_(1)`, and that below the piston is `l_(2)`, such that `l_(1)gtl_(2)`. Each part of the cylinder contains n moles of an ideal gas at equal temeprature T. If the pistion is stationary, its mass, m, will be given by : (R is universal gas constant and g is the acceleration due to gravitey)

A

`(RT)/(ng)[(l_(1)-3l_(2))/(l_(1)l_(2))]`

B

`(nRT)/(g)[(l_(1)-l_(2))/(l_(1)l_(2))]`

C

`(nRT)/(g)[(1)/(l_(2))+(1)/(l_(1))]`

D

`(RT)/(gl)[(2l_(1)+l_(2))/(l_(1)l_(2))]`

Text Solution

Verified by Experts

The correct Answer is:
B
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