The discussion revolves around the entropy equation and the roles of the terms 1S2 and ∫δQ/T, particularly in the context of heat transfer between two reservoirs at different temperatures.
The conversation is active, with participants clarifying definitions and exploring the implications of constant temperature in reservoirs. Some guidance has been offered regarding the evaluation of the integral and its relationship to the entropy change in the reservoirs.
There is an emphasis on the distinction between the entropy change of individual reservoirs and the overall system, as well as the conditions required for the integral to represent the entropy change accurately.
rude man said:A reservoir has a constant temperature by definition. So what does that enable you to do in evaluating ∫δQ/T ?
And BTW ∫δQ/T = 1S2 only if evaluated over a reversible path. Otherwise the integral is < entropy change.
theBEAST said:Sorry I meant ∫δQ/T = 1S2,generated.
But if ∫δQ/T = 1S2,gen, then that means S2 - S1 = 2∫δQ/T
rude man said:No it does not. S2 - S1 = ∫δQ/T over a reversible path. S2 - S1 is the entropy change in ONE of the reservoirs. Since you have two reservoirs at two different temperatures T1 and T2 , each has its own S2 - S1.
Have you figured out how that integral is simplified if you're dealing with entropy changes of reservoirs?