For the following problems indicate whether each of the thermodynamic quantities

Question

1. For the following problems indicate whether each of the thermodynamic quantities listed is > 0, = 0 or < 0. Enter the words positive, zero or negative for each quantity in the order that they appear. Also, assume all gases behave ideally. (a) A sample of gas is carried through a Carnot cycle: ?T, q, w, ?U, ?H, ?S, and ?G. (b) A sample of hot water is mixed with a sample of cold water in a thermally insulated closed container of fixed volume: w, q, ?U, ?H, and ?S. (c) An ideal gas expands adiabatically and reversibly: ?V, ?T, w, q, ?U, ?H, and ?S.

Explanation / Answer

(a) A sample of gas is carried through a Carnot cycle:

?T=0, q>0, w>0, ?U=0, ?H=0, ?S=0, and ?G=0.

(b) A sample of hot water is mixed with a sample of cold water in a thermally insulated closed container of fixed volume: w=0, q>0, ?U>0, ?H>0, and ?S>0.

(c) An ideal gas expands adiabatically and reversibly: ?V>0, ?T<0, w>0, q=0, ?U<0, ?H<0, and ?S>0.

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