The formula to calculate the Coefficient of Performance of Heat Pump using Work and Heat in Cold Reservoir is:
\[ \text{COPHP(CR)} = \frac{Q_H}{W_{\text{net}}} \]
Where:
The Coefficient of Performance (COP) of a heat pump in the cold reservoir is the ratio of the heat supplied to the system to the work required by the system.
Let's assume the following values:
Using the formula:
\[ \text{COPHP(CR)} = \frac{Q_H}{W_{\text{net}}} \]
Evaluating:
\[ \text{COPHP(CR)} = \frac{640}{320} \]
The Coefficient of Performance of the Heat Pump is 2.
| Heat in the Hot Reservoir (J) | Mechanical Energy (J) | COP of Heat Pump |
|---|---|---|
| 600 | 320 | 1.875000000000 |
| 620 | 320 | 1.937500000000 |
| 640 | 320 | 2.000000000000 |
| 660 | 320 | 2.062500000000 |
| 680 | 320 | 2.125000000000 |
| 700 | 320 | 2.187500000000 |