Problem D12:
Consider one mole of an ideal gases in a container. The gas starts off
in the state A, which has a volume V_{0} and a pressure
e^{n2}P_{0}. The gas ends up in the state B,
which has a volume of e^{n1}V_{0} and a pressure
P_{0}. The gas undergoes the reversible process as shown in the figure.
What is the change in entropy of the gas. If the change in entropy is
S_{A}-S_{B} = n_{3}R,
what is n_{3}? Note that n_{1}, n_{2}, and
n_{3} are unitless. R is the gas constant.

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