One of the most efficient engines ever built is a coal-fired steam turbine engin

Question

One of the most efficient engines ever built is a coal-fired steam turbine engine in the Ohio valley, driving an electric generator as it operates between 1870

One of the most efficient engines ever built is a coal-fired steam turbine engine in the Ohio valley, driving an electric generator as it operates between 1870?degree C and 430? degree C. (a) What is its maximum theoretical efficiency? % (b) Its actual efficiency is 42.0%. How much mechanical power does the engine deliver if it absorbs 1.15 X 10^5 J of energy each second from the hot reservoir? kW

Explanation / Answer

1A. Max. theoretical (Carnot) efficiency = 1-T(cold)/T(hot)

1a) 1-(Tc/Th) = 1 - ((430+273) / (1870+273)) = 1 - (703 / 2143) = 0.671955203 (which is about 67.2%) = 67.2 %.

Power = 0.42*1.4105E5 = 59241 J/s = 59241 W = 59.241 kW

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