Solve the all parts of given problem:
Problem: A monatomic ideal gas that is initially at a pressure of 1.60 × 105 Pa and with a volume of 7.70 × 102 m3 is compressed adiabatically to a volume of 4.00×102 m3.
Part I: What is the final pressure?
Part II: How much work is done by the gas during the compression?
Part III: What is the ratio of the final temperature of the gas to its initial temperature?
Please show me how work it out above problem. Thanks.