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Mass of air to produce Q tonnes of refrigeration Calculator

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✖Tonnage of Refrigeration in TR is the unit of measurement for the cooling capacity of an air refrigeration system, typically used in industrial and commercial applications.ⓘ Tonnage of Refrigeration in TR [Q]			+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%
✖Inside temperature of cabin is the temperature of the air inside the cabin of an air refrigeration system, which affects the overall cooling performance.ⓘ Inside Temperature of Cabin [T₆]			+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%

✖Mass is the quantity of matter in a system, typically measured in kilograms, used to calculate the energy required for air refrigeration.ⓘ Mass of air to produce Q tonnes of refrigeration [M]

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Mass of air to produce Q tonnes of refrigeration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion))
M = (210*Q)/(C_p*(T₆-T5^'))
This formula uses 5 Variables

Variables Used

Mass - (Measured in Kilogram per Second) - Mass is the quantity of matter in a system, typically measured in kilograms, used to calculate the energy required for air refrigeration.
Tonnage of Refrigeration in TR - Tonnage of Refrigeration in TR is the unit of measurement for the cooling capacity of an air refrigeration system, typically used in industrial and commercial applications.
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.
Inside Temperature of Cabin - (Measured in Kelvin) - Inside temperature of cabin is the temperature of the air inside the cabin of an air refrigeration system, which affects the overall cooling performance.
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

Tonnage of Refrigeration in TR: 150 --> 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)
Inside Temperature of Cabin: 281 Kelvin --> 281 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

M = (210*Q)/(C_p*(T₆-T5^')) --> (210*150)/(1005*(281-265))

Evaluating ... ...

M = 1.9589552238806

STEP 3: Convert Result to Output's Unit

1.9589552238806 Kilogram per Second -->117.537313432836 Kilogram per Minute (Check conversion here)

FINAL ANSWER

117.537313432836 ≈ 117.5373 Kilogram per Minute <-- Mass

(Calculation completed in 00.004 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

Mass of air to produce Q tonnes of refrigeration Formula

LaTeX Go

Mass = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion))
M = (210*Q)/(C_p*(T₆-T5^'))

How does Simple Air Cycle Work?

The Simple Air Cycle operates by using air as the refrigerant to provide cooling. It starts with compressing the air, which increases its pressure and temperature. The high-pressure, hot air is then cooled through a heat exchanger. Following this, the cooled air is expanded, reducing its pressure and temperature. Finally, the low-pressure, cold air absorbs heat from the space to be cooled, thus lowering the temperature of the surrounding area. This cycle continuously repeats to maintain cooling by transferring heat from the inside environment to the outside.

How to Calculate Mass of air to produce Q tonnes of refrigeration?

Mass of air to produce Q tonnes of refrigeration calculator uses Mass = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion)) to calculate the Mass, Mass of air to produce Q tonnes of refrigeration formula is defined as the amount of air required to produce a certain quantity of refrigeration, which is a critical parameter in refrigeration systems, and is influenced by factors such as the specific heat capacity of air and the temperature difference between the hot and cold sides. Mass is denoted by M symbol.

How to calculate Mass of air to produce Q tonnes of refrigeration using this online calculator? To use this online calculator for Mass of air to produce Q tonnes of refrigeration, enter Tonnage of Refrigeration in TR (Q), Specific Heat Capacity at Constant Pressure (C_p), Inside Temperature of Cabin (T₆) & Actual Temperature at end of Isentropic Expansion (T5^') and hit the calculate button. Here is how the Mass of air to produce Q tonnes of refrigeration calculation can be explained with given input values -> 1.958955 = (210*150)/(1005*(281-265)).

FAQ

What is Mass of air to produce Q tonnes of refrigeration?

Mass of air to produce Q tonnes of refrigeration formula is defined as the amount of air required to produce a certain quantity of refrigeration, which is a critical parameter in refrigeration systems, and is influenced by factors such as the specific heat capacity of air and the temperature difference between the hot and cold sides and is represented as M = (210*Q)/(C_p*(T₆-T5^')) or Mass = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion)). Tonnage of Refrigeration in TR is the unit of measurement for the cooling capacity of an air refrigeration system, typically used in industrial and commercial applications, 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, Inside temperature of cabin is the temperature of the air inside the cabin of an air refrigeration system, which affects the overall cooling performance & 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 Mass of air to produce Q tonnes of refrigeration?

Mass of air to produce Q tonnes of refrigeration formula is defined as the amount of air required to produce a certain quantity of refrigeration, which is a critical parameter in refrigeration systems, and is influenced by factors such as the specific heat capacity of air and the temperature difference between the hot and cold sides is calculated using Mass = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion)). To calculate Mass of air to produce Q tonnes of refrigeration, you need Tonnage of Refrigeration in TR (Q), Specific Heat Capacity at Constant Pressure (C_p), Inside Temperature of Cabin (T₆) & Actual Temperature at end of Isentropic Expansion (T5^'). With our tool, you need to enter the respective value for Tonnage of Refrigeration in TR, Specific Heat Capacity at Constant Pressure, Inside Temperature of Cabin & 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 Mass?

In this formula, Mass uses Tonnage of Refrigeration in TR, Specific Heat Capacity at Constant Pressure, Inside Temperature of Cabin & Actual Temperature at end of Isentropic Expansion. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mass = (210*Ton of Refrigeration)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual Exit Temperature of Cooling Turbine))

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