Question

A perfect Carnot engine utilizes an ideal gas. The source temperature is 500 K and sink
temperature is 375 K. If the engine takes 600 kcal per cycle from the source, then calculate
a. The efficiency of the engine
b. Work done per cycle
c. Heat rejected to the sink per cycle

Answer 1

a. Efficiency of the engine
$\eta =1-\frac{T_c}{T_H}=1-\frac{375}{600}=0.375$
b. Work done per cycle
$W=\eta Q_H=0.375\times 600=225kcal$
c. Heat rejected to the sink per cycle,
$Q_c=Q_H-W=600-225=375kcal$