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Solve all given parts of following problem:

Problem: A cylinder of nitrogen gas has a volume of 1.6×10⁴cm³ and a pressure of 110atm.

Part I: What is the thermal energy of this gas at room temperature (20^oC)?

Part II: What is the mean free path in the gas?

Part III: The valve is opened and the gas is allowed to expand slowly and isothermally until it reaches a pressure of 1.0 atm. What is the change in the thermal energy of the gas?

Please use as much detail as possible in your answer. Thank you.

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