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

✖Heat in Cold Reservoir is the energy that is transferred between two systems of different temperatures to get into the lower temperature.ⓘ Heat in Cold Reservoir [Q_L]			+10% -10%
✖Heat in the hot reservoir is the energy that is transferred between two systems of different temperatures to get into the higher temperature.ⓘ Heat in the hot reservoir [Q_H]			+10% -10%

✖COP of Refrigerator given Heat in the cold and hot reservoir is the ratio of the heat removed from the system to the work required by the system.ⓘ Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir [COP_R]

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Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir

Formula

`"COP"_{"R"} = "Q"_{"L"}/("Q"_{"H"}-"Q"_{"L"})`

Example

`"1.206897"="350J"/("640J"-"350J")`

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Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir Solution

STEP 0: Pre-Calculation Summary

Formula Used

COP of Refrigerator given Heat = Heat in Cold Reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir)
COP_R = Q_L/(Q_H-Q_L)
This formula uses 3 Variables

Variables Used

COP of Refrigerator given Heat - COP of Refrigerator given Heat in the cold and hot reservoir is the ratio of the heat removed from the system to the work required by the system.
Heat in Cold Reservoir - (Measured in Joule) - Heat in Cold Reservoir is the energy that is transferred between two systems of different temperatures to get into the lower temperature.
Heat in the hot reservoir - (Measured in Joule) - Heat in the hot reservoir is the energy that is transferred between two systems of different temperatures to get into the higher temperature.

STEP 1: Convert Input(s) to Base Unit

Heat in Cold Reservoir: 350 Joule --> 350 Joule No Conversion Required
Heat in the hot reservoir: 640 Joule --> 640 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

COP_R = Q_L/(Q_H-Q_L) --> 350/(640-350)

Evaluating ... ...

COP_R = 1.20689655172414

STEP 3: Convert Result to Output's Unit

1.20689655172414 --> No Conversion Required

FINAL ANSWER

1.20689655172414 ≈ 1.206897 <-- COP of Refrigerator given Heat

(Calculation completed in 00.020 seconds)

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Indian Institute of Technology (IIT), Kanpur

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< 6 Refrigeration and Liquification Calculators

Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir

Go COP of Refrigerator given Heat = Heat in Cold Reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir)

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Go Carnot Cycle of Refrigerator = 1/(Heat from Low Temperature Reservoir/Heat from High Temperature Reservoir-1)

Coefficient of Performance of Refrigerator

Go Coefficient of Performance of Refrigerator = Heat from Low Temperature Reservoir/Refrigerator Work

Refrigerator Work

Go Refrigerator Work = Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir

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

Go COP of Refrigerator in Cold Reservoir = Heat in Cold Reservoir/Mechanical Energy

Real Refrigerator

Go Real Refrigerator = Heat from Low Temperature Reservoir/Work

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Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir

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Go COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir)

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Go Coefficient of Performance of Refrigerator = Heat from Low Temperature Reservoir/Refrigerator Work

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

Go COP of Refrigerator in Cold Reservoir = Heat in Cold Reservoir/Mechanical Energy

Coefficient of Performance of Heat Pump using Work and Heat in Cold Reservoir

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Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir Formula

COP of Refrigerator given Heat = Heat in Cold Reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir)
COP_R = Q_L/(Q_H-Q_L)

What is Coefficient of Performance of Refrigerator given the heat in the cold and hot reservoir?

Coefficient of Performance of Refrigerator given the heat in the cold and hot reservoir is the ratio of the heat removed from the system by the work required by the system. It indicates the units of power the system will provide as output for one unit of power.

How to Calculate Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir?

Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir calculator uses COP of Refrigerator given Heat = Heat in Cold Reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir) to calculate the COP of Refrigerator given Heat, Coefficient of Performance of Refrigerator given heat in cold and hot reservoir is the ratio of the heat removed from the system by the work required by the system. COP of Refrigerator given Heat is denoted by COP_R symbol.

How to calculate Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir using this online calculator? To use this online calculator for Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir, enter Heat in Cold Reservoir (Q_L) & Heat in the hot reservoir (Q_H) and hit the calculate button. Here is how the Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir calculation can be explained with given input values -> 1.206897 = 350/(640-350).

FAQ

What is Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir?

Coefficient of Performance of Refrigerator given heat in cold and hot reservoir is the ratio of the heat removed from the system by the work required by the system and is represented as COP_R = Q_L/(Q_H-Q_L) or COP of Refrigerator given Heat = Heat in Cold Reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir). Heat in Cold Reservoir is the energy that is transferred between two systems of different temperatures to get into the lower temperature & Heat in the hot reservoir is the energy that is transferred between two systems of different temperatures to get into the higher temperature.

How to calculate Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir?

Coefficient of Performance of Refrigerator given heat in cold and hot reservoir is the ratio of the heat removed from the system by the work required by the system is calculated using COP of Refrigerator given Heat = Heat in Cold Reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir). To calculate Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir, you need Heat in Cold Reservoir (Q_L) & Heat in the hot reservoir (Q_H). With our tool, you need to enter the respective value for Heat in Cold Reservoir & Heat in the hot reservoir and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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