Power Required for Refrigeration System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Required = ((Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air))/60)
Preq = ((ma*Cp*(Tt'-T2'))/60)
This formula uses 5 Variables
Variables Used
Power Required - (Measured in Watt) - Power Required is the energy needed to operate an air refrigeration system, typically measured in watts or kilowatts, to cool a given amount of air.
Mass of Air - (Measured in Kilogram per Minute) - Mass of Air is the amount of air present in a refrigeration system, which affects the cooling performance and overall efficiency of the system.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure is the amount of heat required to change the temperature of air in refrigeration systems by one degree Celsius.
Actual End Temp of Isentropic Compression - (Measured in Kelvin) - Actual End Temp of Isentropic Compression is the final temperature of air at the end of an isentropic compression process in air refrigeration systems.
Actual Temperature of Rammed Air - (Measured in Kelvin) - Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system.
STEP 1: Convert Input(s) to Base Unit
Mass of Air: 120 Kilogram per Minute --> 120 Kilogram per Minute No Conversion Required
Specific Heat Capacity at Constant Pressure: 1.005 Kilojoule per Kilogram per K --> 1005 Joule per Kilogram per K (Check conversion ​here)
Actual End Temp of Isentropic Compression: 350 Kelvin --> 350 Kelvin No Conversion Required
Actual Temperature of Rammed Air: 273 Kelvin --> 273 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Preq = ((ma*Cp*(Tt'-T2'))/60) --> ((120*1005*(350-273))/60)
Evaluating ... ...
Preq = 154770
STEP 3: Convert Result to Output's Unit
154770 Watt -->9286.19999999998 Kilojoule per Minute (Check conversion ​here)
FINAL ANSWER
9286.19999999998 9286.2 Kilojoule per Minute <-- Power Required
(Calculation completed in 00.004 seconds)

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Created by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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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

Power Required for Refrigeration System Formula

​LaTeX ​Go
Power Required = ((Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air))/60)
Preq = ((ma*Cp*(Tt'-T2'))/60)

What is Refrigeration System?

A refrigeration system is a setup designed to remove heat from a space or substance to lower its temperature. It typically includes components like a compressor, condenser, expansion valve, and evaporator. The system circulates a refrigerant through these components, which absorb and transport heat from the target area to be expelled outside. Refrigeration systems are widely used in air conditioning, refrigeration units, and industrial processes to preserve food, cool environments, and maintain temperature-sensitive materials.

How to Calculate Power Required for Refrigeration System?

Power Required for Refrigeration System calculator uses Power Required = ((Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air))/60) to calculate the Power Required, Power Required for Refrigeration System formula is defined as the total energy needed to operate a refrigeration system, which depends on various factors including the mass flow rate, specific heat capacity, and temperature difference between the evaporator and condenser. Power Required is denoted by Preq symbol.

How to calculate Power Required for Refrigeration System using this online calculator? To use this online calculator for Power Required for Refrigeration System, enter Mass of Air (ma), Specific Heat Capacity at Constant Pressure (Cp), Actual End Temp of Isentropic Compression (Tt') & Actual Temperature of Rammed Air (T2') and hit the calculate button. Here is how the Power Required for Refrigeration System calculation can be explained with given input values -> 557.172 = ((2*1005*(350-273))/60).

FAQ

What is Power Required for Refrigeration System?
Power Required for Refrigeration System formula is defined as the total energy needed to operate a refrigeration system, which depends on various factors including the mass flow rate, specific heat capacity, and temperature difference between the evaporator and condenser and is represented as Preq = ((ma*Cp*(Tt'-T2'))/60) or Power Required = ((Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air))/60). Mass of Air is the amount of air present in a refrigeration system, which affects the cooling performance and overall efficiency of the system, Specific Heat Capacity at Constant Pressure is the amount of heat required to change the temperature of air in refrigeration systems by one degree Celsius, Actual End Temp of Isentropic Compression is the final temperature of air at the end of an isentropic compression process in air refrigeration systems & Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system.
How to calculate Power Required for Refrigeration System?
Power Required for Refrigeration System formula is defined as the total energy needed to operate a refrigeration system, which depends on various factors including the mass flow rate, specific heat capacity, and temperature difference between the evaporator and condenser is calculated using Power Required = ((Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air))/60). To calculate Power Required for Refrigeration System, you need Mass of Air (ma), Specific Heat Capacity at Constant Pressure (Cp), Actual End Temp of Isentropic Compression (Tt') & Actual Temperature of Rammed Air (T2'). With our tool, you need to enter the respective value for Mass of Air, Specific Heat Capacity at Constant Pressure, Actual End Temp of Isentropic Compression & Actual Temperature of Rammed Air 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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