Coefficient of Performance of Refrigerator given Work and Heat in Cold Reservoir Calculator

Formula

The formula to calculate the Coefficient of Performance is:

\[ COP_{Ref} = \frac{Q_L}{W_{net}} \]

Where:

\(COP_{Ref}\) is the Coefficient of Performance
\(Q_L\) is the Heat in Cold Reservoir (J)
\(W_{net}\) is the Mechanical Energy (J)

Definition

The Coefficient of Performance of a refrigerator given work and heat in the cold reservoir is the ratio of the heat removed from the system by the work required by the system.

Example Calculation

Let's assume the following values:

Heat in Cold Reservoir (\(Q_L\)) = 350 J
Mechanical Energy (\(W_{net}\)) = 320 J

Using the formula:

\[ COP_{Ref} = \frac{350}{320} \]

Evaluating:

\[ COP_{Ref} = 1.09375 \]

The Coefficient of Performance is 1.09375.

Conversion Chart

Heat in Cold Reservoir (J)	Mechanical Energy (J)	Coefficient of Performance
300	320	0.937500000000
310	320	0.968750000000
320	320	1.000000000000
330	320	1.031250000000
340	320	1.062500000000
350	320	1.093750000000
360	320	1.125000000000
370	320	1.156250000000
380	320	1.187500000000
390	320	1.218750000000
400	320	1.250000000000