FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Theoretical Coefficient of Performance of Refrigerator Formula

GoEnergy Performance Ratio of Heat Pump Formula

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

Fx Copy

LaTeX Copy

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. Check FAQs

COP theoretical = \frac{Q ref}{w}

COP_theoretical - Theoretical Coefficient of Performance?Q_ref - Heat Extracted from Refrigerator?w - Work Done?

Theoretical Coefficient of Performance of Refrigerator Example

With values

With units

Only example

Here is how the Theoretical Coefficient of Performance of Refrigerator equation looks like with Values.

Here is how the Theoretical Coefficient of Performance of Refrigerator equation looks like with Units.

Here is how the Theoretical Coefficient of Performance of Refrigerator equation looks like.

0.6 = \frac{600}{1000}

0.6 = \frac{600kJ/kg}{1000kJ/kg}

0.6 = \frac{600}{1000}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Refrigeration and Air Conditioning » fx Theoretical Coefficient of Performance of Refrigerator

Theoretical Coefficient of Performance of Refrigerator Solution

Follow our step by step solution on how to calculate Theoretical Coefficient of Performance of Refrigerator?

FIRST Step Consider the formula

COP theoretical = \frac{Q ref}{w}

Next Step Substitute values of Variables

∴

COP theoretical = \frac{600kJ/kg}{1000kJ/kg}

Next Step Convert Units

∴

COP theoretical = \frac{600000J/kg}{1E+6J/kg}

Next Step Prepare to Evaluate

∴

COP theoretical = \frac{600000}{1E+6}

LAST Step Evaluate

∴

COP theoretical = 0.6

Theoretical Coefficient of Performance of Refrigerator Formula Elements

Variables

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.

Symbol: COP_theoretical

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Theoretical Coefficient of Performance

Heat Extracted from Refrigerator

Heat Extracted from Refrigerator is the amount of heat energy transferred from the refrigerator to the surrounding air during the air refrigeration process.

Symbol: Q_ref

Measurement: Specific EnergyUnit: kJ/kg

Note: Value can be positive or negative.

Formulas to find Heat Extracted from Refrigerator

Work Done

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.

Symbol: w

Measurement: Specific EnergyUnit: kJ/kg

Note: Value can be positive or negative.

Formulas to find Work Done

Other Formulas to find Theoretical Coefficient of Performance

Go Energy Performance Ratio of Heat Pump

COP theoretical = \frac{Q delivered}{W per min}

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

COP theoretical = \frac{1}{{r p}^{\frac{γ - 1}{γ}} - 1}

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

COP theoretical = \frac{T 1 - T 4}{(\frac{n}{n - 1}) \cdot (\frac{γ - 1}{γ}) \cdot ((T 2 - T 3) - (T 1 - T 4))}

Other formulas in Air Refrigeration Cycles category

Go Relative Coefficient of Performance

COP relative = \frac{COP actual}{COP theoretical}

Go Compression or Expansion Ratio

r p = \frac{P 2}{P 1}

Go Heat Absorbed during Constant Pressure Expansion Process

Q Absorbed = C p \cdot (T 1 - T 4)

Go Heat Rejected during Constant pressure Cooling Process

Q R = C p \cdot (T 2 - T 3)

How to Evaluate Theoretical Coefficient of Performance of Refrigerator?

Theoretical Coefficient of Performance of Refrigerator evaluator uses Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done to evaluate 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 evaluate Theoretical Coefficient of Performance of Refrigerator using this online evaluator? To use this online evaluator for Theoretical Coefficient of Performance of Refrigerator, enter Heat Extracted from Refrigerator (Q_ref) & Work Done (w) and hit the calculate button.

FAQs on Theoretical Coefficient of Performance of Refrigerator

What is the formula to find Theoretical Coefficient of Performance of Refrigerator?

The formula of Theoretical Coefficient of Performance of Refrigerator is expressed as Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done. Here is an example- 1.5 = 600000/1000000.

How to calculate Theoretical Coefficient of Performance of Refrigerator?

With Heat Extracted from Refrigerator (Q_ref) & Work Done (w) we can find Theoretical Coefficient of Performance of Refrigerator using the formula - Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done.

What are the other ways to Calculate Theoretical Coefficient of Performance?

Here are the different ways to Calculate Theoretical Coefficient of Performance-

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)))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Theoretical Coefficient of Performance of Refrigerator Formula

​GoEnergy Performance Ratio of Heat Pump Formula

​GoCOP of Bell-Coleman Cycle for given Compression Ratio and Adiabatic Index Formula

Theoretical Coefficient of Performance of Refrigerator Example

Theoretical Coefficient of Performance of Refrigerator Solution

Theoretical Coefficient of Performance of Refrigerator Formula Elements

Other Formulas to find Theoretical Coefficient of Performance

Other formulas in Air Refrigeration Cycles category

How to Evaluate Theoretical Coefficient of Performance of Refrigerator?

FAQs on Theoretical Coefficient of Performance of Refrigerator

Variable Name

GoEnergy Performance Ratio of Heat Pump Formula

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