Question

Consider a carnot cycle operating between T1=5ooK and T2=300K producing 1KJ of mechanical work per cycle.Find the heat transfer to engine by the reservoirs.

Answer 1

Dear Student,

For Carnot cycle:

Efficiency:

$$\begin{gathered} \xi =1-\frac{T_C}{T_H}=\frac{W_{NET}}{Q_H} \\ \Rightarrow \xi =1-\frac{300}{500} \\ \Rightarrow \xi =\frac{2}{5} \\ or{Q}_H=\frac{W_{NET}}{\xi } \\ \Rightarrow Q_H=1\times {10}^3\times \frac{5}{2} \\ \Rightarrow Q_H=2500JTransferredtoenginebyreservoir \end{gathered}$$

Regards.