Compression Work Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air)
Wper min = ma*Cp*(Tt'-T2')
This formula uses 5 Variables
Variables Used
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.
Mass of Air - (Measured in Kilogram per Second) - 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 --> 2 Kilogram per Second (Check conversion ​here)
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
Wper min = ma*Cp*(Tt'-T2') --> 2*1005*(350-273)
Evaluating ... ...
Wper min = 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 <-- Work Done per min
(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

Compression Work Formula

​LaTeX ​Go
Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air)
Wper min = ma*Cp*(Tt'-T2')

How does a Compressor Work in a Refrigeration System?

In a refrigeration system, the compressor increases the pressure and temperature of the refrigerant by compressing it. This high-pressure, high-temperature refrigerant then flows to the condenser, where it releases heat. The compressor is essential as it drives the refrigerant through the system, enabling the absorption of heat from the cooled space and maintaining the refrigeration cycle.






How to Calculate Compression Work?

Compression Work calculator uses Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air) to calculate the Work Done per min, Compression Work formula is defined as the amount of energy transferred when a gas is compressed, typically measured in units of work per minute, and is a critical parameter in various industrial and engineering applications, such as power generation, refrigeration, and air conditioning systems. Work Done per min is denoted by Wper min symbol.

How to calculate Compression Work using this online calculator? To use this online calculator for Compression Work, 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 Compression Work calculation can be explained with given input values -> 557.172 = 2*1005*(350-273).

FAQ

What is Compression Work?
Compression Work formula is defined as the amount of energy transferred when a gas is compressed, typically measured in units of work per minute, and is a critical parameter in various industrial and engineering applications, such as power generation, refrigeration, and air conditioning systems and is represented as Wper min = ma*Cp*(Tt'-T2') or Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air). 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 Compression Work?
Compression Work formula is defined as the amount of energy transferred when a gas is compressed, typically measured in units of work per minute, and is a critical parameter in various industrial and engineering applications, such as power generation, refrigeration, and air conditioning systems is calculated using Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air). To calculate Compression Work, 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.
How many ways are there to calculate Work Done per min?
In this formula, Work Done per min uses Mass of Air, Specific Heat Capacity at Constant Pressure, Actual End Temp of Isentropic Compression & Actual Temperature of Rammed Air. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Temperature at the end of Cooling Process-Actual Temperature at end of Isentropic Expansion)
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