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Expansion 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 (T4 - T5')

W_{per min} - Work Done per min?ma - Mass of Air?C_p - Specific Heat Capacity at Constant Pressure?T4 - Temperature at the end of Cooling Process?T5^' - Actual Temperature at end of Isentropic Expansion?

Expansion Work Example

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With units

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

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

Here is how the Expansion Work equation looks like.

9286.2 = 120 \cdot 1.005 \cdot (342 - 265)

9286.2kJ/min = 120kg/min \cdot 1.005kJ/kg*K \cdot (342K - 265K)

9286.2 = 120 \cdot 1.005 \cdot (342 - 265)

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Expansion Work Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W per min = 120kg/min \cdot 1.005kJ/kg*K \cdot (342K - 265K)

Next Step Convert Units

∴

W per min = 2kg/s \cdot 1005J/(kg*K) \cdot (342K - 265K)

Next Step Prepare to Evaluate

∴

W per min = 2 \cdot 1005 \cdot (342 - 265)

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

Expansion 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

Temperature at the end of Cooling Process

Temperature at the end of cooling process is the final temperature of the air after it has been cooled in an air refrigeration system.

Symbol: T4

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature at the end of Cooling Process

Actual Temperature at end of Isentropic Expansion

Actual temperature at end of isentropic expansion is the final temperature of air at the end of an isentropic expansion process in air refrigeration systems.

Symbol: T5^'

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Actual Temperature at end of Isentropic Expansion

Other Formulas to find Work Done per min

Go Compression Work

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

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 Expansion Work?

Expansion Work evaluator uses 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) to evaluate the Work Done per min, Expansion Work formula is defined as the energy transferred from the system to the surroundings due to a change in the volume of a system at constant pressure, typically measured in units of energy per unit time. Work Done per min is denoted by W_{per min} symbol.

How to evaluate Expansion Work using this online evaluator? To use this online evaluator for Expansion Work, enter Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Temperature at the end of Cooling Process (T4) & Actual Temperature at end of Isentropic Expansion (T5^') and hit the calculate button.

FAQs on Expansion Work

What is the formula to find Expansion Work?

The formula of Expansion Work is expressed as 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). Here is an example- 868.32 = 2*1005*(342-265).

How to calculate Expansion Work?

With Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Temperature at the end of Cooling Process (T4) & Actual Temperature at end of Isentropic Expansion (T5^') we can find Expansion Work using the formula - 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).

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*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air)

Can the Expansion Work be negative?

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

Which unit is used to measure Expansion Work?

Expansion 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 Expansion Work can be measured.

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Expansion Work Formula

​GoCompression Work Formula

Expansion Work Example

Expansion Work Solution

Expansion Work Formula Elements

Other Formulas to find Work Done per min

Other formulas in Air Refrigeration category

How to Evaluate Expansion Work?

FAQs on Expansion Work

Variable Name

GoCompression Work Formula