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n moles of an ideal gas are in a cylinder fitted at one end with a movable pisto

ID: 1651932 • Letter: N

Question

n moles of an ideal gas are in a cylinder fitted at one end with a movable piston. The initial temperature of the gas is Ti and the pressure is constant. Find an expression for the final temperature of the gas after work W has been done on it. Tf = n moles of an ideal gas are in a cylinder fitted at one end with a movable piston. The initial temperature of the gas is Ti and the pressure is constant. Find an expression for the final temperature of the gas after work W has been done on it. Tf = Find an expression for the final temperature of the gas after work W has been done on it. Tf =

Explanation / Answer

Work done at constant pressure = integral PdV

                      W = PVf - PVi

                      W = nRTf - nRTi

                   Tf = [W/(nR) + Ti]   where R is universal gas constant.