A closed system is cooled reversibly from (100^{circ} mathrm{C}) to (50^{circ} mathrm{C}). If no work is done

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A closed system is cooled reversibly from \(100^{\circ} \mathrm{C}\) to \(50^{\circ} \mathrm{C}\). If no work is done on the system, its

(a) \(U\) decreases and its \(S\) increases

(b) \(U\) and \(S\) both decrease

(c) \(U\) decreases but \(S\) remains constant

(d) \(U\) remains constant but \(S\) decreases.

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