Question

Two heat engines are working in such a way that sink of one is source of the other. Their efficiencies are equal. Find the temperature of the sink of first if its source temperature is ${927}^{o}C$ and temperature of sink of the second is ${27}^{o}C$.

• A. $327K$
• B. ${357}^{o}C$
• C. ${600}^{o}C$
• D. $600K$

Answer 1

The correct option is D $600K$

Efficiency, $\eta =1-\frac{T_2}{T_1}=1-\frac{T_3}{T_2}$
Where, $T_1=$ temperature of first source, $T_2=$ temperature of first sink $=$ temperature of second source, $T_3=$ temperature of second sink
$\Rightarrow T_2=\sqrt{300\times 1200}K=600K$