Question

A Carnot's engine used first an ideal monoatomic gas then an ideal diatomic gas. If the source and sink temperature are ${411}^{\circ }C$ and ${69}^{\circ }C$ respectively and the engine extracts 1000 J of heat in each cycle, then area enclosed by the PV diagram is

• A. 100 J
• B. 300 J
• C. 500 J
• D. 700 J

Answer 1

The correct option is C

500 J

$\eta =1-\frac{T_2}{T_1}=1-\frac{(273+69)}{(273+411)}=0.5$

$\Rightarrow$ work done = $\eta \times Q=0.5\times 1000=500$J