A liquid piston Stirling engine is shown below. Assume that the gas contained in the two sealed pistons is a true Ideal Gas. P1 is typically atmospheric pressure, and P2 and P3 vary as the pistons go up and down. Imagine that on one oscillation the gas in piston 2 goes from 2 bar to 1.8 bar.
a) Write down equations relating the temperature and volume of the gas in piston two as well the volume and pressure.
b) If the initial temperature in cylinder 2 is 100C, what is the final temperature?