Question

A Carnots cycle operating between $T_1$=600 K and $T_2$=300 K producing 1.5kj of mechanical work per cycle. The heat transferred to the engine by the reservoirs is:

• A. 2.5 kJ
• B. 3 kJ
• C. 3.5 kJ
• D. 4 kJ

Answer 1

The correct option is B 3 kJ

For Carnot engine-

$\eta \left(efficiency\right)=1-\frac{T-2}{T_4}=1-\frac{300}{600}=\frac{1}{2}$

Also,

$\eta =\frac{Workdonepercycle}{Energyconsumedpercycle}\frac{1}{2}=\frac{1.5}{heattransformedpercycle}$

Heat transformed per cycle$=2\times 1.5=3KJ$