(Solved): Problem 1 A Carnot heat engine receives heat from a high-temperature reservoir at \( 527^{\circ} \ma ...

Problem 1 A Carnot heat engine receives heat from a high-temperature reservoir at \( 527^{\circ} \mathrm{C} \). The heat rejected from this engine is supplied to a second Carnot engine. This second engine rejects heat to a low-temperature reservoir at \( 17^{\circ} \mathrm{C} \). The first engine rejects 400 kJ to the second engine. If both engines have the same efficiency, determine the following: a) The temperature of the high-temperature reservoir for the second engine or the temperature of the low-temperature reservoir of the first engine. b) The efficiency of each engine. c) The energy received by the first engine from the \( 527^{\circ} \mathrm{C} \) source. d) The work done by each engine. Solution: