Relative Coefficient of Performance Calculator

✖The actual coefficient of Performance is the ratio of the actual cooling effect produced to the actual power consumption.ⓘ Actual Coefficient of Performance [COP_actual]			+10% -10%
✖Theoretical Coefficient of Performance of a refrigerator is the ratio of heat Extracted from the Refrigerator to the amount of work done.ⓘ Theoretical Coefficient of Performance [COP_theoretical]			+10% -10%

✖Relative coefficient of performance defined as the ratio of actual C.O.P. to the theoretical C.O.P. Relative C.O.P. = Actual C.O.P./Theoretical C.O.P.ⓘ Relative Coefficient of Performance [COP_relative]

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Formula

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Relative Coefficient of Performance

Formula

`"COP"_{"relative"} = "COP"_{"actual"}/"COP"_{"theoretical"}`

Example

`"0.833333"="5"/"6"`

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Relative Coefficient of Performance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance
COP_relative = COP_actual/COP_theoretical
This formula uses 3 Variables

Variables Used

Relative Coefficient of Performance - Relative coefficient of performance defined as the ratio of actual C.O.P. to the theoretical C.O.P. Relative C.O.P. = Actual C.O.P./Theoretical C.O.P.
Actual Coefficient of Performance - The actual coefficient of Performance is the ratio of the actual cooling effect produced to the actual power consumption.
Theoretical Coefficient of Performance - Theoretical Coefficient of Performance of a refrigerator is the ratio of heat Extracted from the Refrigerator to the amount of work done.

STEP 1: Convert Input(s) to Base Unit

Actual Coefficient of Performance: 5 --> No Conversion Required
Theoretical Coefficient of Performance: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

COP_relative = COP_actual/COP_theoretical --> 5/6

Evaluating ... ...

COP_relative = 0.833333333333333

STEP 3: Convert Result to Output's Unit

0.833333333333333 --> No Conversion Required

FINAL ANSWER

0.833333333333333 ≈ 0.833333 <-- Relative Coefficient of Performance

(Calculation completed in 00.004 seconds)

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Credits

Created by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has created this Calculator and 25+ more calculators!

Verified by Mayank Tayal

National Institute of Technology (NIT), Durgapur

Mayank Tayal has verified this Calculator and 10+ more calculators!

< 8 Air Refrigeration Cycles Calculators

COP of Bell-Coleman Cycle for given Temperatures, Polytropic Index and Adiabatic Index

Go 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)))

Heat Absorbed during Constant Pressure Expansion Process

Go Heat Absorbed = Specific Heat Capacity at Constant Pressure*(Temperature at Start of Isentropic Compression-Temperature at End of Isentropic Expansion)

Heat Rejected during Constant pressure Cooling Process

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

COP of Bell-Coleman Cycle for given Compression Ratio and Adiabatic Index

Go Theoretical Coefficient of Performance = 1/(Compression or Expansion Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

Compression or Expansion Ratio

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

Relative Coefficient of Performance

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

Energy Performance Ratio of Heat Pump

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

Theoretical Coefficient of Performance of Refrigerator

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

< 8 Air Refrigeration Cycles Calculators

COP of Bell-Coleman Cycle for given Temperatures, Polytropic Index and Adiabatic Index

Heat Absorbed during Constant Pressure Expansion Process

Go Heat Absorbed = Specific Heat Capacity at Constant Pressure*(Temperature at Start of Isentropic Compression-Temperature at End of Isentropic Expansion)

Heat Rejected during Constant pressure Cooling Process

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

COP of Bell-Coleman Cycle for given Compression Ratio and Adiabatic Index

Go Theoretical Coefficient of Performance = 1/(Compression or Expansion Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

Compression or Expansion Ratio

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

Relative Coefficient of Performance

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

Energy Performance Ratio of Heat Pump

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

Theoretical Coefficient of Performance of Refrigerator

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

Relative Coefficient of Performance Formula

Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance
COP_relative = COP_actual/COP_theoretical

What is Relative COP?

Relative coefficient of performance defined as the ratio of actual C.O.P. to the theoretical C.O.P.
Relative C.O.P. = Actual C.O.P./Theoretical C.O.P.

How to Calculate Relative Coefficient of Performance?

Relative Coefficient of Performance calculator uses Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance to calculate the Relative Coefficient of Performance, Relative Coefficient of Performance formula is defined as the ratio of the actual C.O.P. to the theoretical C.O.P. Relative Coefficient of Performance is denoted by COP_relative symbol.

How to calculate Relative Coefficient of Performance using this online calculator? To use this online calculator for Relative Coefficient of Performance, enter Actual Coefficient of Performance (COP_actual) & Theoretical Coefficient of Performance (COP_theoretical) and hit the calculate button. Here is how the Relative Coefficient of Performance calculation can be explained with given input values -> 0.833333 = 5/6.

FAQ

What is Relative Coefficient of Performance?

Relative Coefficient of Performance formula is defined as the ratio of the actual C.O.P. to the theoretical C.O.P and is represented as COP_relative = COP_actual/COP_theoretical or Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance. The actual coefficient of Performance is the ratio of the actual cooling effect produced to the actual power consumption & Theoretical Coefficient of Performance of a refrigerator is the ratio of heat Extracted from the Refrigerator to the amount of work done.

How to calculate Relative Coefficient of Performance?

Relative Coefficient of Performance formula is defined as the ratio of the actual C.O.P. to the theoretical C.O.P is calculated using Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance. To calculate Relative Coefficient of Performance, you need Actual Coefficient of Performance (COP_actual) & Theoretical Coefficient of Performance (COP_theoretical). With our tool, you need to enter the respective value for Actual Coefficient of Performance & Theoretical Coefficient of Performance 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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