5.00 mol of diatomic gas adiabatically expands from an initial temperature of 300.0 K toa final temperature of 250.0 K. Assume that, throughout the expansion, rotational modesare excited in the gas, but not vibrational modes. The initial volume of the gas isV0.(a) Find the amount of work that the gas does on its surroundings. You should be ableto get a number (i. e. your answer should not depend onV0).(b) Find the final volume of the gas in terms ofV0.(c) Suppose, instead, it was 5.00 mol ofmonoatomicgas that adiabatically expanded fromthe same initial temperature to the same final temperature (also with initial volumeV0). Does this gas do more work on its surroundings, or less