An article claims: “Nuclear power stations are only about efficient

PHYSICS · Subjective · Fermi University Physics · Thermal, Statistical & Complex Systems · Earth, Climate & Energy Physics · The laws of thermodynamics

Energy from Physics, Ch Heat engines on fuel: exergy, real cycles, biomass and the nuclear heat source

Problem

An article claims: “Nuclear power stations are only about 33%33\% efficient, well below a coal station's 3838-40%40\%, because nuclear fission is a less efficient way of releasing energy than burning coal.” Fission converts about 93%93\% of the energy released per event directly into heat in the fuel and coolant (most of the rest escapes as neutrinos); combustion converts essentially all of its chemical energy into heat. Using the entropic mean temperature TmT_m, with a coal cycle at Tm=545 KT_m = 545\,\mathrm{K} and a pressurised-water reactor cycle at Tm=492 KT_m = 492\,\mathrm{K}, both rejecting heat to a condenser at T0=306 KT_0 = 306\,\mathrm{K}, evaluate the claim.

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