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 piston is l 1 , and that below the piston is l 2 , such that l 1 l 2 . Each part…

Question

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 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)

Aicharya · Accepted Answer

P 1 + m g A = P 2 &#8658; n R T l 1 A + m g A = n R T l 2 A &#8658; m = n R T g 1 l 2 - 1 l 1 = n R T g l 1 - l 2 l 1 l 2

A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible…