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Consider one mole of a monatomic ideal gas at 300 K that undergoes a free expansion from a volume of 1 m^3 to 10 m^3.

a) How much does the chemical potential of each molecule in a gas change?

b) Multiply the above result by NA to obtain the chemical potential change in molar units.

c) How much reversible work would be required to return the gas to its original volume (by following a reversible isothermal path)?

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