If the piston in the previous problem is replaced by one that is a perfect conductor, so that after the valve is closed the temperatures of the gas on the two sides of the piston equalize (clearly, the piston will move in this process), 

a. What will the equalized pressure in the cylinder be, and what will be the temperature of the nitrogen in the cylinder? 

b. What will the volumes in the cylinder be to the left and to the right of the piston? 

c. How much entropy has been generated in going from the initial state (before the valve was opened) to the final state (equalized temperature and pressure on the two sides of the piston)?