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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!

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