You are designing a steam power plant and have decided that it helps your thought pattern to return to Clausius’ way of picturing heat transfer and work done. Use arrows for heat and work. In your plant you will have a boiler operating at a temperature of T1. You may assume that the steam coming out of the boiler has that temperature. You have cooling coils which you can locate either in cooling towers or in the local river. Call the low temperature of the cooling coils T2. A turbine does the work, which is then used to drive a generator. The best you can hope for is an efficiency η = W/Qin = (T1 −T2)/T1.
(a) Redraw the Clausius cycle indicating clearly the location of the boiler, cooling coils, heat engine.
(b) The temperature of the river is ΔT (degrees) lower than the cooling coils. You want to increase efficiency. You can either raise the boiler temperature by ΔT or opt out for the river over the towers. Which do you choose to obtain the greatest increase in efficiency?
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