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An important extensive property of all systems in thermodynamics, statistical mechanics, and information theory, quantifying their disorder (randomness), i.e., our lack of information about them. It characterizes the degree to which the energy of the system is *not* available to do useful work.
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How to determine the entropy change in a system with heat and mass transfer?
So, my question is
How to describe the change in entropy: $S_1'=?, S_2'=?$
Let $S_1'=S_1+\delta S_1, S_2'=S_2+\delta S_2$. … the transferred amount of gas mixes ideally with the contents of the chamber thus resulting in some entropy production.
$^*$ according to Callen it should be at most 0.1 of sound speed. …