3 What would be the efficiency of a Carnot engine operating

3. What would be the efficiency of a Carnot engine operating with boiling water as one reservoir and a freezing mixture of ice and water as the other reservoir? n=27%

Solution

The efficiency of a Carnot engine depends only upon the temperatures of the two heat reservoirs

efficiency n = (T2 - T1)/T2

Boiling temp. = 100 C

T2 = 100 + 273.15 = 373.15

Freezing temp. = 0 C

T1 = 0+273.15 = 273.15

n = 100/373.15 = 0.2679

n% = 26.79% = 27 %