One mole of a monatomic gas is subjected to the following sequence of steps. a. Starting at 300 K and 10 atm, the gas expands freely into a vacuum to double its volume.
b. The gas is next heated reversibly to 500 K at constant volume.
c. The gas is then reversibly expanded at constant temperature until its volume is doubled
d. The gas is finally reversibly cooled to 300 K at constant pressure

Required:
Calculate the values of q and w and the changes in U, H, and S.