Question

A carnot engine operates between two reservoirs of temperature 900 $K$ and 300 $K$. The engine performs 1200 $J$ of work per cycle. The heat energy in ($J$) delivered by the engine to the low temperature reservoir, in a cycle, is

Answer 1

$$\begin{array}{cc}& \eta =1-\frac{T_2}{T_1}=1-\frac{300}{900}=\frac{2}{3}\\ & \text{Given,}W=1200J\\ & \text{From conservation of energy}\\ & Q_1-Q_2=W\\ & \eta =\frac{Q_1-Q_2}{Q_1}=\frac{W}{Q_1}⟹Q_1=1800J\\ & \Rightarrow Q_2=Q_1-W=600J\end{array}$$