Question

A heat pump operates on Carnot cycle pumps heat from a reservoir at 27°C to 327°C. The Coefficient of performance is

• A. 1.5
• B. 0.5
• C. 2
• D. 1

Hint:

For Carnot cycles, the COP can be calculated using the temperatures of the hot and cold reservoirs. Higher temperature differences lead to lower COP values.

Answer 1

The Correct Option is C

The Coefficient of Performance (COP) for a Carnot heat pump is given by: \[ COP = \frac{T_H}{T_H - T_L} \] Where: - \( T_H = 327°C + 273 = 600 \, K \) - \( T_L = 27°C + 273 = 300 \, K \) Substituting these values into the equation: \[ COP = \frac{600}{600 - 300} = 2 \]