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Compression Work Formula

GoExpansion Work Formula

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

W per min = ma \cdot C p \cdot (Tt' - T2')

W_{per min} - Work Done per min?ma - Mass of Air?C_p - Specific Heat Capacity at Constant Pressure?Tt^' - Actual End Temp of Isentropic Compression?T2^' - Actual Temperature of Rammed Air?

Compression Work Example

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With units

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Here is how the Compression Work equation looks like with Values.

Here is how the Compression Work equation looks like with Units.

Here is how the Compression Work equation looks like.

9286.2 = 120 \cdot 1.005 \cdot (350 - 273)

9286.2kJ/min = 120kg/min \cdot 1.005kJ/kg*K \cdot (350K - 273K)

9286.2 = 120 \cdot 1.005 \cdot (350 - 273)

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Compression Work Solution

Follow our step by step solution on how to calculate Compression Work?

FIRST Step Consider the formula

W per min = ma \cdot C p \cdot (Tt' - T2')

Next Step Substitute values of Variables

∴

W per min = 120kg/min \cdot 1.005kJ/kg*K \cdot (350K - 273K)

Next Step Convert Units

∴

W per min = 2kg/s \cdot 1005J/(kg*K) \cdot (350K - 273K)

Next Step Prepare to Evaluate

∴

W per min = 2 \cdot 1005 \cdot (350 - 273)

Next Step Evaluate

∴

W per min = 154770W

Next Step Convert to Output's Unit

∴

W per min = 9286.19999999998kJ/min

LAST Step Rounding Answer

∴

W per min = 9286.2kJ/min

Compression Work Formula Elements

Variables

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

Mass of 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.

Symbol: ma

Measurement: Mass Flow RateUnit: kg/min

Note: Value should be greater than 0.

Formulas to find Mass of Air

Specific Heat Capacity at Constant Pressure

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.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity at Constant Pressure

Actual End Temp of Isentropic Compression

Actual End Temp of Isentropic Compression is the final temperature of air at the end of an isentropic compression process in air refrigeration systems.

Symbol: Tt^'

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Actual End Temp of Isentropic Compression

Actual Temperature of Rammed Air

Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system.

Symbol: T2^'

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Actual Temperature of Rammed Air

Other Formulas to find Work Done per min

Go Expansion Work

W per min = ma \cdot C p \cdot (T4 - T5')

Other formulas in Air Refrigeration category

Go Energy Performance Ratio of Heat Pump

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

Go Relative Coefficient of Performance

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

Go Theoretical Coefficient of Performance of Refrigerator

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

Go Compression or Expansion Ratio

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

How to Evaluate Compression Work?

Compression Work evaluator 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 evaluate 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 W_{per min} symbol.

How to evaluate Compression Work using this online evaluator? To use this online evaluator for Compression Work, enter Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Actual End Temp of Isentropic Compression (Tt^') & Actual Temperature of Rammed Air (T2^') and hit the calculate button.

FAQs on Compression Work

What is the formula to find Compression Work?

The formula of Compression Work is expressed as Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air). Here is an example- 557.172 = 2*1005*(350-273).

How to calculate Compression Work?

With Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Actual End Temp of Isentropic Compression (Tt^') & Actual Temperature of Rammed Air (T2^') we can find Compression Work using the formula - Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air).

What are the other ways to Calculate Work Done per min?

Here are the different ways to Calculate Work Done per min-

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)

Can the Compression Work be negative?

Yes, the Compression Work, measured in Power can be negative.

Which unit is used to measure Compression Work?

Compression Work is usually measured using the Kilojoule per Minute[kJ/min] for Power. Watt[kJ/min], Kilowatt[kJ/min], Milliwatt[kJ/min] are the few other units in which Compression Work can be measured.

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Compression Work Formula

​GoExpansion Work Formula

Compression Work Example

Compression Work Solution

Compression Work Formula Elements

Other Formulas to find Work Done per min

Other formulas in Air Refrigeration category

How to Evaluate Compression Work?

FAQs on Compression Work

Variable Name

GoExpansion Work Formula