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Suppose you build a device of two heat engines and that the exhaust energy output of one is supplied as the input energy for the second. The two machines are said to work in series. Let e_1 and e_2 be the representations of the efficiencies of the two machines.
1. The overall efficiency of the two-machine device is defined as the total work output divided by the energy put into the first machine by heat. The overall efficiency is ?:
2. Suppose the two machines are Carnot machines. Machine 1 operates between temperatures T h and T i. The gas in machine 2 varies in temperature between T i and T c. In terms of temperatures, what is the efficiency of the combination of machines?
Does using two machines result in an improvement in net efficiency instead of using only one?
3. What is the value of the intermediate temperature Ti for each of the two machines in series to do the same work?
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