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# Solve this problem 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 l1, and

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 l1 , and that below the piston is l2 , such that l1>l2 . Each part of the cylinder contains n moles of an ideal gas at equal temperature T . If the piston is stationary , its mass , m , will be given by :

( R is universal gas constant and g is the acceleration due to gravity )

• Option 1)

• Option 2)

• Option 3)

• Option 4)

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Ideal gas equation -

- wherein

T= Temprature

P= pressure of ideal gas

V= volume

n= numbers of mole

R = universal gas constant Draw the FBD on piston so

P1A + mg =  P2A ........(1)

and .......(2) → put in equatopn (1)

volume = l X A

Option 1)

Option 2)

Option 3)

Option 4)

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