Question

In a Carnot engine, efficiency is dependent on ________?

• A. Temperature of the hot reservoir
• B. Temperature of the cold reservoir
• C. Both hot and cold reservoir temperatures
• D. Heat input

Hint:

For the maximum efficiency of a Carnot engine, the temperature of the cold reservoir should be as low as possible, and the temperature of the hot reservoir should be as high as possible.

Answer 1

The Correct Option is C

The efficiency \( \eta \) of a Carnot engine is given by the formula: \[ \eta = 1 - \frac{T_C}{T_H} \] Where: - \( T_H \) is the temperature of the hot reservoir, - \( T_C \) is the temperature of the cold reservoir. From the formula, we can see that the efficiency depends on both the temperatures of the hot and cold reservoirs. The higher the temperature of the hot reservoir and the lower the temperature of the cold reservoir, the more efficient the Carnot engine will be. Thus, option (C) is correct.