1. (a) Calculate the efficiency of a Carnot engine running between a low temperature of 27.0°C and a high temperature of 387°C. Determine the change in efficiency if you were to (b) raise the high temperature by 10.0°C or (c) lower the low temperature by 10.0°C. Which improves the efficiency more? Note: Consider three significant figures in your calculations for this problem.
2. 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? 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.