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Theoretical Coefficient of Performance of Refrigerator Calculator

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✖Heat Extracted from Refrigerator is the amount of heat energy transferred from the refrigerator to the surrounding air during the air refrigeration process.ⓘ Heat Extracted from Refrigerator [Q_ref]			+10% -10%
✖Work Done is the energy transferred from one body to another due to a force applied, resulting in the displacement of an object in air refrigeration.ⓘ Work Done [w]			+10% -10%

✖Theoretical Coefficient of Performance is the maximum theoretical efficiency of a refrigeration system, representing the ideal performance of an air refrigeration system under ideal conditions.ⓘ Theoretical Coefficient of Performance of Refrigerator [COP_theoretical]

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Theoretical Coefficient of Performance of Refrigerator Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done
COP_theoretical = Q_ref/w
This formula uses 3 Variables

Variables Used

Theoretical Coefficient of Performance - Theoretical Coefficient of Performance is the maximum theoretical efficiency of a refrigeration system, representing the ideal performance of an air refrigeration system under ideal conditions.
Heat Extracted from Refrigerator - (Measured in Joule per Kilogram) - Heat Extracted from Refrigerator is the amount of heat energy transferred from the refrigerator to the surrounding air during the air refrigeration process.
Work Done - (Measured in Joule per Kilogram) - Work Done is the energy transferred from one body to another due to a force applied, resulting in the displacement of an object in air refrigeration.

STEP 1: Convert Input(s) to Base Unit

Heat Extracted from Refrigerator: 600 Kilojoule per Kilogram --> 600000 Joule per Kilogram (Check conversion here)
Work Done: 1000 Kilojoule per Kilogram --> 1000000 Joule per Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

COP_theoretical = Q_ref/w --> 600000/1000000

Evaluating ... ...

COP_theoretical = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Theoretical Coefficient of Performance

(Calculation completed in 00.004 seconds)

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< Air Refrigeration Cycles Calculators

Heat Rejected during Constant pressure Cooling Process

LaTeX Go Heat Rejected = Specific Heat Capacity at Constant Pressure*(Ideal Temp at End of Isentropic Compression-Ideal Temp at End of Isobaric Cooling)

Relative Coefficient of Performance

LaTeX Go Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance

Energy Performance Ratio of Heat Pump

LaTeX Go Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min

Theoretical Coefficient of Performance of Refrigerator

LaTeX Go Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done

< Air Refrigeration Calculators

Compression or Expansion Ratio

LaTeX Go Compression or Expansion Ratio = Pressure at End of Isentropic Compression/Pressure at Start of Isentropic Compression

Relative Coefficient of Performance

LaTeX Go Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance

Energy Performance Ratio of Heat Pump

LaTeX Go Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min

Theoretical Coefficient of Performance of Refrigerator

LaTeX Go Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done

Theoretical Coefficient of Performance of Refrigerator Formula

LaTeX Go

Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done
COP_theoretical = Q_ref/w

What is Theoretical Coefficient of Performance of Refrigerator?

The Theoretical Coefficient of Performance (COP) of a refrigerator is the maximum efficiency the system can achieve under ideal conditions. It represents the ratio of the cooling effect produced to the work input required, assuming no losses or inefficiencies. This value provides a benchmark for comparing actual performance and helps identify potential areas for improvement in the refrigeration system.

How to Calculate Theoretical Coefficient of Performance of Refrigerator?

Theoretical Coefficient of Performance of Refrigerator calculator uses Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done to calculate the Theoretical Coefficient of Performance, Theoretical Coefficient of Performance of Refrigerator formula is defined as a measure of the maximum possible efficiency of a refrigerator, representing the ratio of heat removed from the refrigerated space to the work input required to operate the refrigeration system. Theoretical Coefficient of Performance is denoted by COP_theoretical symbol.

How to calculate Theoretical Coefficient of Performance of Refrigerator using this online calculator? To use this online calculator for Theoretical Coefficient of Performance of Refrigerator, enter Heat Extracted from Refrigerator (Q_ref) & Work Done (w) and hit the calculate button. Here is how the Theoretical Coefficient of Performance of Refrigerator calculation can be explained with given input values -> 1.5 = 600000/1000000.

FAQ

What is Theoretical Coefficient of Performance of Refrigerator?

Theoretical Coefficient of Performance of Refrigerator formula is defined as a measure of the maximum possible efficiency of a refrigerator, representing the ratio of heat removed from the refrigerated space to the work input required to operate the refrigeration system and is represented as COP_theoretical = Q_ref/w or Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done. Heat Extracted from Refrigerator is the amount of heat energy transferred from the refrigerator to the surrounding air during the air refrigeration process & Work Done is the energy transferred from one body to another due to a force applied, resulting in the displacement of an object in air refrigeration.

How to calculate Theoretical Coefficient of Performance of Refrigerator?

Theoretical Coefficient of Performance of Refrigerator formula is defined as a measure of the maximum possible efficiency of a refrigerator, representing the ratio of heat removed from the refrigerated space to the work input required to operate the refrigeration system is calculated using Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done. To calculate Theoretical Coefficient of Performance of Refrigerator, you need Heat Extracted from Refrigerator (Q_ref) & Work Done (w). With our tool, you need to enter the respective value for Heat Extracted from Refrigerator & Work Done and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Theoretical Coefficient of Performance?

In this formula, Theoretical Coefficient of Performance uses Heat Extracted from Refrigerator & Work Done. We can use 3 other way(s) to calculate the same, which is/are as follows -

Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min
Theoretical Coefficient of Performance = 1/(Compression or Expansion Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)
Theoretical Coefficient of Performance = (Temperature at Start of Isentropic Compression-Temperature at End of Isentropic Expansion)/((Polytropic Index/(Polytropic Index-1))*((Heat Capacity Ratio-1)/Heat Capacity Ratio)*((Ideal Temp at End of Isentropic Compression-Ideal Temp at End of Isobaric Cooling)-(Temperature at Start of Isentropic Compression-Temperature at End of Isentropic Expansion)))

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