Chapter 2, Problem 2.11NP

A cylindrical vessel with rigid adiabatic walls is separated into two parts by a frictionless adiabatic piston. Each part contains 45.0 L of an ideal monatomic gas with $C_{v,m}=3R/2$. Initially, ${\text{T}}_{\text{i}}=\text{3}00.\text{ K}$ and ${\text{P}}_{\text{i}}=\text{1}.\text{75x1}{0}^{\text{5}}\text{Pa}$ in each part. Heat is slowly introduced into the left part using an electrical heater until the piston has moved sufficiently to the right to result in a final pressure ${\text{P}}_{\text{t}}=\text{4}.00\text{ bar}$ in the right part. Consider the compression of the gas in the right part to be a reversible process.

1. Calculate the work done on the right part in this process and the final temperature in the right part.
2. Calculate the final temperature in the left part and the amount of heat that flowed into this part.