A vertical cylinder of cross sectional area 0.1 metre square 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 Kelvin and the volume of the upper part is 0.1 metre cube and and and the volume of the lower part is 0.05 metre cube 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 Kelvin