Consider an ideal gas of 0.2 mole of argon atoms with an initial volume of 0.8 Liter and a temperature of 300K.
a) The gas is thermally isolated and allowed to expand adiabatically to a final volume of 1 Liter. Find the final temperature of the gas after its adiabatic expansion.
b) With the gas at the temperature Tf that you calculated in (a), it is now brought into contact with a large thermal reservoir at 300K and equilibriates to this temperature at constant volume. How much does the internal energy of the gas change during the process?
c) Find the change in the total entropy due to the process described in problem (b). Note that the total entropy includes the entropy of the gas and of the environment (i.e. the thermal reservoir).
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