A heat engine converts thermal energy to mechanical work. It takes in energy, QH, through heating from a high temperature reservoir. It uses that energy to do work, W, and releases the rest, Qc, to a cold reservoir. The overall change of the internal energy and the entropy of the engine are both zero. The temper- ec atures of the reservoirs stay constant. All parts of this question refer to a heat engine like the one depicted. 13. (14 points) Comparing Three Engine Designs: (a) (3 points) Which of the Hot reservoir TH = 500K Hot reservoir 71 = 500K Hot reservoir TH = 500K engines A, B or C that 500J 400J 700J are represented here Heat Heat Heat would have the greatest engine - 200J engine 200J engine 400J real efficiency, ereal. A B 300J 300J 300J Show your work for Cold reservoir Tc = 400K Cold reservoir Tc = 300K full credit. Cold reservoir Ic = 200K (b) (5 points) Which, if any, of the engines A, B or C, would violate the first law of thermo- dynamics? Explain your reasoning for full credit. (c) (6 points) Which, if any, of the engines A, B, or C would violate the second law of ther- modynamics? Explain your reasoning for full credit