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?degreeC. (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 10^5 J of energy each second from the hot reservoir? kW

Explanation / Answer

The maximum efficiency is n =1-T2/T1

T1 =1870+273=2143K

T2 =430+273=703K

Then efficiency is n =1-0.328=0.6719 Or 67.19%

If efficiency is 42% means n =0.42 then Q1 =1.15*105J

ThenQ2 =(1-n)Q1=(1-0.42)*1.15*105=0.667*105J

Now total work done =Q1-Q2 =(1.15-0.667)*105J=0.483*105J

Now this to kilowatts p =W/t =48300/3600000=0.0134kW

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