A vertical cylinder of cross-sectional area 0.1 m^2 closed at both ends is fitted with a frictionless piston of mass M dividing the cylinder into two parts. Each part contains one mole of an ideal gas in equilibrium at 300 K. The volume of the upper part is 0.1 m^3 and that of the lower part is 0.05 m^3. What force must be applied to the piston so that the volume of the two parts remain unchanged when the temperature is increased to 500 K? express force as ( x xx 100)R and find x?

A vertical cylinder of cross-sectional area 0.1 m^2 closed at both end

1.	A vertical cylinder of cross-sectional area 0.1 m^2 closed at both ends is fitted with a frictionless piston of mass M dividing the cylinder into two parts. Each part contains one mole of an ideal gas in equilibrium at 300 K. The volume of the upper part is 0.1 m^3 and that of the lower part is 0.05 m^3. What force must be applied to the piston so that the volume of the two parts remain unchanged when the temperature is increased to 500 K? express force as ( x xx 100)R and find x?
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