A vertical cylinder contains v moles of an ideal gas and is closed off by a piston of mass and area A. The acceleration due to gravity is g. The molar specific heat cy (at constant volume) of the gas...

Extracted text: A vertical cylinder contains v moles of an ideal gas and is closed off by a piston of mass and area A. The acceleration due to gravity is g. The molar specific heat cy (at constant volume) of the gas is a constant independent of temperature. The heat capacities of the piston und cylinder are negligibly small and any fric- tional forees between the piston and the cylinder walls can be neglected. The whole system is thermaly insulated. Initially, the piston is clamped in position so that the gas has a volume Ve and a tomperature Tn. The pıston is now released and, after some nscillations, comes to rest in a final equilibrium situation corresponding to a larger volumc of the gas. (@) Does the temperature of the gas increase, decrease, or remain the same? (b) Does the entropy of the gas increase, decrease, or remain the same? (c) Calculate the final temperature of the gas in terms of Te, lo, unl the other parameters mentioned in the statement of the prublem.