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 )
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
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