Question

A heat engine operates with the cold reservoir at temperature $324K$.
The minimum temperature of the hot reservoir, if the heat engine takes $300J$ heat from the hot reservoir and delivers $180J$ heat to the cold reservoir per cycle, is____ $K$.

Answer 1

Answer: 540

$T_c=324k$
$T_H=?$
$Q_H=300J$
$Q_L=180J$

$1-\frac{Q_L}{Q_H}=1-\frac{T_L}{T_H}$
$\frac{Q_L}{Q_H}=\frac{T_L}{T_H}$
$T_H=\frac{Q_H}{Q_L}\times T_L=\frac{300}{180}\times 324=540K$