Suppose that the gasoline in a car engine burns at 631 C,

Chapter 15, Problem 15.117

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Suppose that the gasoline in a car engine burns at 631 C, while the exhaust temperature (the temperature of the cold reservoir) is 139 C and the outdoor temperature is 27 C. Assume that the engine can be treated as a Carnot engine (a gross oversimplification). In an attempt to increase mileage performance, an inventor builds a second engine that functions between the exhaust and outdoor temperatures and uses the exhaust heat to produce additional work. Assume that the inventors engine can also be treated as a Carnot engine. Determine the ratio of the total work produced by both engines to that produced by the first engine alone.