A cylinder of cross-sectional area A is divided inot tow chambers 1 and 2, by means of a frictionless piston. The piston as well as the walls of the chambers are heat-insulating, and the chambers initially have equal length L. Both chambers are filled with 1 mol of helium gas, with initial pressures 2Po and Po, respectively. The piston is then allowed to slide freely, whereupon the gas in chamber 1 pushes the piston a distance a to equalize the pressures to P. (a) Find the distance a traveled by the piston. (b) If W is the work done by the gas chamber 1, what are the final temperatures T1 and T2 in the two chambers? What is the final pressure P? (c) Find W, the work done.