A vertical closed cylinder is separated into two parts by a frictionless piston of mass 
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 
, and that below the piston is 
, such that 
. Each part of the cylinder contains 
moles of an ideal gas at equal temperature 
. If the piston is stationary, its mass, 
, will be given by:
( 
is universal gas constant and 
is the acceleration due to gravity)
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