Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Thermodynamics

Question:

A Carnot engine has an efficiency of 50% when its source is at a temperature 327°C. The temperature of the sink is:

Options:

200°C

27°C

15°C

100°C

Correct Answer:

27°C

Explanation:

$\text{Efficiency of a carnot engine is given by } \eta = 1 - \frac{T_2}{T_1} $

$\text{ Here }\eta = 0.5 , T_1 = 327^oC = 600 K$ 

$ 0.5 = 1 - \frac{T_2}{600} \Rightarrow \frac{T_2}{600} = 0.5 $

$\Rightarrow T_2 = 300K = 27^oC$