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One mole of an ideal monoatomic gas initially at 300 K is expanded from an initial pressure of 10 atm to a final pressure of 1 atm. The molar heat capacity for constant volume for the gas is Cv = 3/2 R . Calculate ΔU, ΔH, q, w, and the final temperature (Tf) for each of the following paths:

(a) An isothermal reversible expansion

(b) An expansion against a constant external pressure of 1 atm in a thermally isolated (adiabatic) system.

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