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Energy Performance Ratio of Heat Pump Formula

GoTheoretical Coefficient of Performance of Refrigerator Formula

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

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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 delivered}{W per min}

COP_theoretical - Theoretical Coefficient of Performance?Q_delivered - Heat Delivered to Hot Body?W_{per min} - Work Done per min?

Energy Performance Ratio of Heat Pump Example

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Here is how the Energy Performance Ratio of Heat Pump equation looks like with Values.

Here is how the Energy Performance Ratio of Heat Pump equation looks like with Units.

Here is how the Energy Performance Ratio of Heat Pump equation looks like.

0.6 = \frac{5571.72}{9286.2}

0.6 = \frac{5571.72kJ/min}{9286.2kJ/min}

0.6 = \frac{5571.72}{9286.2}

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Energy Performance Ratio of Heat Pump Solution

Follow our step by step solution on how to calculate Energy Performance Ratio of Heat Pump?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

COP theoretical = \frac{5571.72kJ/min}{9286.2kJ/min}

Next Step Convert Units

∴

COP theoretical = \frac{92862W}{154770W}

Next Step Prepare to Evaluate

∴

COP theoretical = \frac{92862}{154770}

Next Step Evaluate

∴

COP theoretical = 0.600000000000001

LAST Step Rounding Answer

∴

COP theoretical = 0.6

Energy Performance Ratio of Heat Pump 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 Delivered to Hot Body

Heat Delivered to Hot Body is the amount of heat energy transferred to the hot body in an air refrigeration system during a refrigeration cycle.

Symbol: Q_delivered

Measurement: PowerUnit: kJ/min

Note: Value can be positive or negative.

Formulas to find Heat Delivered to Hot Body

Work Done per min

Work Done per min is the amount of energy transferred per minute in an air refrigeration system, typically measured in joules per minute.

Symbol: W_{per min}

Measurement: PowerUnit: kJ/min

Note: Value can be positive or negative.

Formulas to find Work Done per min

Other Formulas to find Theoretical Coefficient of Performance

Go Theoretical Coefficient of Performance of Refrigerator

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

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 Energy Performance Ratio of Heat Pump?

Energy Performance Ratio of Heat Pump evaluator uses Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min to evaluate the Theoretical Coefficient of Performance, Energy Performance Ratio of Heat Pump formula is defined as a measure of the efficiency of a heat pump system, which indicates the amount of heat energy delivered per unit of electrical energy consumed, providing a benchmark for evaluating the performance of heat pumps in refrigeration and air conditioning systems. Theoretical Coefficient of Performance is denoted by COP_theoretical symbol.

How to evaluate Energy Performance Ratio of Heat Pump using this online evaluator? To use this online evaluator for Energy Performance Ratio of Heat Pump, enter Heat Delivered to Hot Body (Q_delivered) & Work Done per min (W_{per min}) and hit the calculate button.

FAQs on Energy Performance Ratio of Heat Pump

What is the formula to find Energy Performance Ratio of Heat Pump?

The formula of Energy Performance Ratio of Heat Pump is expressed as Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min. Here is an example- 0.6 = 92862.0000000002/154770.

How to calculate Energy Performance Ratio of Heat Pump?

With Heat Delivered to Hot Body (Q_delivered) & Work Done per min (W_{per min}) we can find Energy Performance Ratio of Heat Pump using the formula - Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min.

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 Extracted from Refrigerator/Work Done
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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Energy Performance Ratio of Heat Pump Formula

​GoTheoretical Coefficient of Performance of Refrigerator Formula

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

Energy Performance Ratio of Heat Pump Example

Energy Performance Ratio of Heat Pump Solution

Energy Performance Ratio of Heat Pump Formula Elements

Other Formulas to find Theoretical Coefficient of Performance

Other formulas in Air Refrigeration Cycles category

How to Evaluate Energy Performance Ratio of Heat Pump?

FAQs on Energy Performance Ratio of Heat Pump

Variable Name

GoTheoretical Coefficient of Performance of Refrigerator Formula

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