Consider a container with a partition in the middle. The container is thermally

Question

Consider a container with a partition in the middle.
The container is thermally isolated from the
environment. Initially one half of the container is filled
with gas A (N molecules) and the other half with gas B
(also N molecules). Both gases are kept at the same
pressure and the same temperature: pA = pB = p0; TA =
TB = T0. Then the partition is removed and the gases
are allowed to mix.

(a) Assuming that the temperature of the container does not change upon mixing, calculate
the entropy of the container before and after the removal of the partition.
(b) What is the entropy of mixing, ?S = SAfter

Explanation / Answer

a) Before = 100 After = 1050 b) 1050-100 = 950

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