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Three moles of an ideal gas `(C_(v,m) = 12.5 J K^(-1) mol^(-1))` are at `300 K` and `5 dm^(3)`. If the gas is heated to `320K` and the volume changed to `10 dm^(3)`, calculate the entropy change. |
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Answer» The entropy changes as a funciton of `T` and `V` is `DeltaS = nC_(V,m) "In"(T_(2))/(T_(1)) +nRT "In"(V_(2))/(V_(1))` `DeltaS = (3 mol) xx (12.5 JK^(-1) mol^(-1)) xx 2.303` `"log"(320)/(300) +(3mol) xx (8.324 J K^(-1)mol^(-1)) xx 2.303 "log"(10)/(5)` `= 2.42 J K^(-1) + 17.29J K^(-1) = 19.71 JK^(-1)` |
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