Question

A Carnot engine receives 6 × 10⁴ J from a reservoir at 600 K, does some work, and rejects some heat to a reservoir at 500 K. Find the 

(i) the heat rejected by the engine 

(ii) the work done by the engine 

(iii) the efficiency of the engine.

Answer 1

Data : Q_H = 6 × 10⁴ J, T_H = 600K, T_C = 500K

(i) The heat rejected by the engine

(ii) The work done by the engine, W = Q_H + Q_C = 6 x 10⁴ J + (-5 x 10⁴ J) = 1 x 10⁴ J

(iii) The efficiency of the engine = \(\frac{W}{Q_H}\) = \(\frac{1\times10^4 J}{6\times10^4J}\) = \(\frac16\) > 16.67 %