Solve the each part of given question:
Question: A monatomic ideal gas that is initially at a pressure of 1.52×105 Pa and with a volume of 7.50×102 m3 is compressed adiabatically to a volume of 3.80×102 m3.
Part I: What is the final pressure?
Part II: How much work is done by the gas in the compression?
Part III: What is the ratio of the final temperature of the gas to its initial temperature?
Please include each step and the equations you used. Thanks!