Carnot Refrigerator Calculator
Compute COP of an ideal Carnot refrigerator/heat pump.
Input Data
Cold Temp K
K
Hot Temp K
K
Cooling Capacity W
W
Results
COP_ref = T_c/(T_h−T_c).
9
COP_hp = T_h/(T_h−T_c).
10
W = Q_c/COP_ref.
111.111111W
Q_h = Q_c + W.
1,111.111111W
At a glance:COP_ref = T_c/(T_h−T_c); COP_hp = T_h/(T_h−T_c). Complements carnot-cycle and carnot-efficiency.
Formula
COP_ref = T_c/(T_h−T_c).
$$\text{COP}_R = \frac{T_c}{T_h - T_c} = \frac{Q_c}{W}, \quad \text{COP}_{HP} = \frac{T_h}{T_h - T_c} = \text{COP}_R + 1$$How to Use
- Enter T_c, T_h and cooling capacity.
- The tool returns COPs and power.
Case Studies
T_c=270, T_h=300, Q_c=1000 W
COP_ref=9, W≈111 W.
FAQ
COP > 1?
Yes — a heat pump moves more heat than the work it consumes.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.