Answer
$\frac{dQ_L}{dt} = 4.16 \times 10^3 W$
Work Step by Step
The rate of exhaust heat output can be found using this equation
$\frac{dQ_L}{dt} = \frac{dQ_H}{dt} - \frac{dW}{dt}$
From (a), $\frac{dQ_H}{dt} = 4664.2 W$ and the power $\frac{dW}{dt} = 500W$
$\frac{dQ_L}{dt} = 4664.2 W - 500W$
$\frac{dQ_L}{dt} = 4164.2 W = 4.16 \times 10^3 W$
