Numerical - Maximum efficiency of heat engine, source & sink temperatures given - Thermodynamics

Q.  A cyclic heat engine operates between a source temperature of 927 oC and a sink temperature of 27 oC. What will be the maximum efficiency of the heat engine?
- Published on 21 Aug 15

a. 100 %
b. 80 %
c. 75 %
d. 70 %

ANSWER: 75 %
 
Heat engine is operated between the temperatures

T1 = 927 0C = 927 + 273 = 1200 K and
T2 = 27 0C = 27 + 273 = 300 K

The maximum efficiency of a heat engine is given by,

ηmax = 1 – (T2/T1)
ηmax = 1 – (300/1200)
ηmax = 0.75

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