One mole of H2 gas at 373K and 1 atm undergoes a change of state to 200K and 0.01 atm along three different approximately reversible paths:
a) Expand to final volume at constant temperature and then cool to final temperature.
b) Expand to final volume at constant pressure and then adjust to final temperature by interaction with a heat bath.
c) Cool to the final temp at constant volume and then expand to the final pressure at constant temperature. Calculate the work done for each path.