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 $l_1 > l_2.$ 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)
$m=\frac{n R T}{g}\left(\frac{1}{\ell_{1}}-\frac{1}{\ell_{2}}\right)$
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