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Expansion Work Calculator

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✖Mass of Air is the amount of air present in a refrigeration system, which affects the cooling performance and overall efficiency of the system.ⓘ Mass of Air [ma]			+10% -10%
✖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.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖Temperature at the end of cooling process is the final temperature of the air after it has been cooled in an air refrigeration system.ⓘ Temperature at the end of Cooling Process [T4]			+10% -10%
✖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.ⓘ Actual Temperature at end of Isentropic Expansion [T5^']			+10% -10%

✖Work Done per min is the amount of energy transferred per minute in an air refrigeration system, typically measured in joules per minute.ⓘ Expansion Work [W_{per min}]

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Expansion Work Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_{per min} = ma*C_p*(T4-T5^')
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.
Temperature at the end of Cooling Process - (Measured in Kelvin) - Temperature at the end of cooling process is the final temperature of the air after it has been cooled in an air refrigeration system.
Actual Temperature at end of Isentropic Expansion - (Measured in Kelvin) - 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.

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)
Temperature at the end of Cooling Process: 342 Kelvin --> 342 Kelvin No Conversion Required
Actual Temperature at end of Isentropic Expansion: 265 Kelvin --> 265 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_{per min} = ma*C_p*(T4-T5^') --> 2*1005*(342-265)

Evaluating ... ...

W_{per 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 00.020 seconds)

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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

Expansion Work Formula

LaTeX Go

How does an Expansion Turbine Work?

An expansion turbine works by expanding high-pressure, high-temperature refrigerant to lower pressure and temperature. As the refrigerant expands, it turns the turbine blades, which convert the thermal energy into mechanical work. This process reduces the refrigerant's temperature and pressure, allowing it to absorb heat from the space being cooled. Expansion turbines are used in some refrigeration and air conditioning systems to improve efficiency and reduce energy consumption.

How to Calculate Expansion Work?

Expansion Work calculator 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 calculate 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 calculate Expansion Work using this online calculator? To use this online calculator 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. Here is how the Expansion Work calculation can be explained with given input values -> 868.32 = 2*1005*(342-265).

FAQ

What is Expansion Work?

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 and is represented as W_{per min} = ma*C_p*(T4-T5^') or 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). 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, Temperature at the end of cooling process is the final temperature of the air after it has been cooled in an air refrigeration system & 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.

How to calculate Expansion Work?

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 is calculated using 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 calculate Expansion Work, you need 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^'). With our tool, you need to enter the respective value for Mass of Air, Specific Heat Capacity at Constant Pressure, Temperature at the end of Cooling Process & Actual Temperature at end of Isentropic Expansion 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, Temperature at the end of Cooling Process & Actual Temperature at end of Isentropic Expansion. 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*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air)

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