A cylinder of cross-section area A is divided into two chambers 1 and 2, by means of a frictionless piston. The chambers initially have equal length L. Both chambers are filled with 1 mole of ideal gas, with initial pressures 2P0 and P0, respectively. The piston is then allowed to slide freely, whereupon the gas in chamber 1 pushes the piston a distance l to equalize the pressure. Consider the following two cases: --(i) The outer walls of the chambers and the piston do not allow heat transfer. Denote the distance l as la in this case. --(ii) The piston does not allow heat transfer but the chambers are in contact with two heat reservoirs separately, at temperature T1 and T2 for chambers 1 and 2, respectively. Denote the distance l as ld in this case. Calculate the ratio la/ld? Does this ratio have a small or big value

A cylinder of cross-section area A is divided into two chambers 1 and 2, by means of a frictionless piston. The chambers initially have equal length L. Both chambers are filled with 1 mole of ideal gas, with initial pressures 2P0 and P0, respectively. The piston is then allowed to slide freely, whereupon the gas in chamber 1 pushes the piston a distance l to equalize the pressure. Consider the following two cases: --(i) The outer walls of the chambers and the piston do not allow heat transfer. Denote the distance l as la in this case. --(ii) The piston does not allow heat transfer but the chambers are in contact with two heat reservoirs separately, at temperature T1 and T2 for chambers 1 and 2, respectively. Denote the distance l as ld in this case. Calculate the ratio la/ld? Does this ratio have a small or big value