Energy Performance Ratio of Heat Pump Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min
COPtheoretical = Qdelivered/Wper min
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 Delivered to Hot Body - (Measured in Watt) - 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.
Work Done per min - (Measured in Watt) - Work Done per min is the amount of energy transferred per minute in an air refrigeration system, typically measured in joules per minute.
STEP 1: Convert Input(s) to Base Unit
Heat Delivered to Hot Body: 5571.72 Kilojoule per Minute --> 92862.0000000002 Watt (Check conversion ​here)
Work Done per min: 9286.2 Kilojoule per Minute --> 154770 Watt (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
COPtheoretical = Qdelivered/Wper min --> 92862.0000000002/154770
Evaluating ... ...
COPtheoretical = 0.600000000000001
STEP 3: Convert Result to Output's Unit
0.600000000000001 --> No Conversion Required
FINAL ANSWER
0.600000000000001 0.6 <-- Theoretical Coefficient of Performance
(Calculation completed in 00.006 seconds)

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

Energy Performance Ratio of Heat Pump Formula

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

What is Energy Performance Ratio (EPR) ?

The Energy Performance Ratio (EPR) measures the efficiency of a refrigeration system or air conditioning unit. It is the ratio of the cooling capacity to the total energy input required. A higher EPR indicates better efficiency, meaning the system delivers more cooling for the same amount of energy consumed. EPR is useful for assessing and comparing the performance of different refrigeration systems.

How to Calculate Energy Performance Ratio of Heat Pump?

Energy Performance Ratio of Heat Pump calculator uses Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min to calculate 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 COPtheoretical symbol.

How to calculate Energy Performance Ratio of Heat Pump using this online calculator? To use this online calculator for Energy Performance Ratio of Heat Pump, enter Heat Delivered to Hot Body (Qdelivered) & Work Done per min (Wper min) and hit the calculate button. Here is how the Energy Performance Ratio of Heat Pump calculation can be explained with given input values -> 0.6 = 92862.0000000002/154770.

FAQ

What is Energy Performance Ratio of Heat Pump?
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 and is represented as COPtheoretical = Qdelivered/Wper min or Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min. 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 & Work Done per min is the amount of energy transferred per minute in an air refrigeration system, typically measured in joules per minute.
How to calculate Energy Performance Ratio of Heat Pump?
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 is calculated using Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min. To calculate Energy Performance Ratio of Heat Pump, you need Heat Delivered to Hot Body (Qdelivered) & Work Done per min (Wper min). With our tool, you need to enter the respective value for Heat Delivered to Hot Body & Work Done per min 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 Delivered to Hot Body & Work Done per min. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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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