A cylindrical vessel with rigid adiabatic walls is separated into two parts by a frictionless adiabatic adiabatic piston. Each part contains 50.0L of an ideal monatomic gas with Cv = 3R/2. Initially, Ti = 325K and Pi = 2.50x10^5 Pa in each part. Heat is slowly introduced into the left part using an electrical heater until piston has moved sufficiently to the right to result in a final pressure P(final) = 7.5 bar in the right part. Consider the compressor of the gas in the right part to be a reversible process.
a) Calculate the work done on the right part in this process and the final temperature in the right part.
b) Calculate the final temperature in the left part and the amount of heat that flowed into this part