A leak
A hollow insulated cylinder of height 2H and volume 2V is closed from below by an insulating
piston. The cylinder is divided into two initially identical chambers by an insulating diaphragm
of mass m. The diaphragm rests on a circular ledge and a gasket between them provides tight
contact. Both chambers are filled with gaseous helium at pressure p and temperature T. A force
is applied to the piston, so that it moves upwards slowly.
a) Find the volume of the lower chamber V when the gas starts to leak between the chambers
0
b) Find the temperature T in the upper chamber when the piston touches the diaphragm.
1
c) Find the temperature T in the lower chamber immediately before the piston touches the
2
diaphragm.