Suppose that a deep shaft were drilled in Earths crust
Chapter , Problem 53(choose chapter or problem)
Suppose that a deep shaft were drilled in Earths crust near one of the poles, where the surface temperature is $40 C, to a depth where the temperature is 800 C. (a) What is the theoretical limit to the efficiency of an engine operating between these temperatures? (b) If all the energy released as heat into the lowtemperature reservoir were used to melt ice that was initially at $40 C, at what rate could liquid water at 0-C be produced by a 100 MW power plant (treat it as an engine)? The specific heat of ice is 2220 J/kg 9K; waters heat of fusion is 333 kJ/kg. (Note that the engine can operate only between 0-C and 800-C in this case. Energy exhausted at $40-C cannot warm anything above $40- C.)
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