Question

A Carnot’s cycle operating between T1 = 600 K and T2 = 300 K producing 1.5 kJ of mechanical work per cycle. The heat transferred to the engine by the reservoirs

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

Answer 1

Answer: (B)

3 kJ

Answer 2

Here $T_{1} = 600k,T_{2} = 300k,W = 1.5kJ = 1500J$

As $\eta = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{300}{600} = \frac{1}{2}$

Also, $\eta = \frac{workdone}{heat\sup plied} = \frac{W}{Q_{1}}$

$\therefore Q_{1}\frac{W}{\eta} = \frac{1500}{1/2} = 3000J = 3kJ$