One engine versus two. A Carnot engine produces 1000 J of work when running between reservoirs of 470°C and 100°C. (a) How much heat flows from the hot reservoir? Hint: Consider the efficiency. (b) Find the heat flow to the cold reservoir. (c) Consider a second engine that uses the heat flow out of the first engine as the hot reservoir and has a cold reservoir at room temperature, 20°C. How much work can the second engine produce? (d) Finally, consider a third engine that runs between the hot reservoir of the first engine and the cold reservoir of the second engine. Calculate the work done by this engine and compare it with the sum of the work of the first two engines.
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