Question

Two 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. ${327}^{o}C$
• C. ${600}^{o}C$
• D. none of these

Answer 1

The correct option is B ${327}^{o}C$

$\eta =1-\frac{T_2}{T_1}=1-\frac{T_3}{T_2}$

or, $T_2^2=T_1{T}_3$
or $T_2=\sqrt{1200\times 300}=600K={327}^{o}C$