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Posted: **Sun Feb 13, 2022 8:02 am**

: Consider The Process Where Na Mol Of Gas A Initially At 1 Bar Pressure Mix With Ng Mol Of Gas B Also At 1 Bar To Form 1 1 (86.31 KiB) Viewed 31 times

: Consider The Process Where Na Mol Of Gas A Initially At 1 Bar Pressure Mix With Ng Mol Of Gas B Also At 1 Bar To Form 1 2 (69.71 KiB) Viewed 31 times

Consider the process where na mol of gas A initially at 1 bar pressure mix with ng mol of gas B also at 1 bar to form 1 mol of a uniform mixture of A and B at a final total pressure of 1 bar, and all at constant temperature T. Assume that all gases behave ideally. a. Show that the entropy change, AmixSm, for this process is given by Amix Sm= -x Rin xa - XpRin xp, where xa and xp are the mole fractions of A and B, respectively.
(Hint: Entropy changes are additive for components A and B; that is, Amix Sm = ASmA + AS m,B.) b. What can you say about the value (especially the sign) of AmirS m and how does this correlate with the Second Law? c. Derive an expression for AmixGm for the conditions of this problem and comment on values (and signs) of its terms.