A Carnot engine absorbs heat to the tune of (585 mathrm{~kJ} / mathrm{cycle}) from a hot reservoir

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A Carnot engine absorbs heat to the tune of \(585 \mathrm{~kJ} / \mathrm{cycle}\) from a hot reservoir at \(650^{\circ} \mathrm{C}\) and discards heat to a cold reservoir at \(30^{\circ} \mathrm{C}\). Then

(a) What is the theoretical efficiency of the Carnot engine?

(b) What amount would be released to the cold reservoir?

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