Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine Calculator

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✖The Tonnage of Refrigeration in TR is defined as the rate of heat transfer that results in the freezing or melting of 1 short ton of pure ice at 0 °C in 24 hours.ⓘ Tonnage of Refrigeration in TR [Q]			+10% -10%
✖Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖Temperature at End of Isentropic Expansion is the temperature from where isentropic expansion ends and isobaric expansion starts.ⓘ Temperature at End of Isentropic Expansion [T₄]			+10% -10%
✖The actual exit Temperature of cooling turbine is the temperature of the refrigerant after actual process of expansion.ⓘ Actual exit Temperature of cooling turbine [T7^']			+10% -10%

✖Mass of air is both a property of air and a measure of its resistance to acceleration when a net force is applied.ⓘ Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine [ma]

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Formula

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Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine

Formula

`"ma" = (210*"Q")/("C"_{"p"}*("T"_{"4"}-"T7"^{"'"}))`

Example

`"7.522388kg/min"=(210*"3")/("1.005kJ/kg*K"*("290K"-"285K"))`

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Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual exit Temperature of cooling turbine))
ma = (210*Q)/(C_p*(T₄-T7^'))
This formula uses 5 Variables

Variables Used

Mass of Air - (Measured in Kilogram per Second) - Mass of air is both a property of air and a measure of its resistance to acceleration when a net force is applied.
Tonnage of Refrigeration in TR - The Tonnage of Refrigeration in TR is defined as the rate of heat transfer that results in the freezing or melting of 1 short ton of pure ice at 0 °C in 24 hours.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
Temperature at End of Isentropic Expansion - (Measured in Kelvin) - Temperature at End of Isentropic Expansion is the temperature from where isentropic expansion ends and isobaric expansion starts.
Actual exit Temperature of cooling turbine - (Measured in Kelvin) - The actual exit Temperature of cooling turbine is the temperature of the refrigerant after actual process of expansion.

STEP 1: Convert Input(s) to Base Unit

Tonnage of Refrigeration in TR: 3 --> 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)
Temperature at End of Isentropic Expansion: 290 Kelvin --> 290 Kelvin No Conversion Required
Actual exit Temperature of cooling turbine: 285 Kelvin --> 285 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ma = (210*Q)/(C_p*(T₄-T7^')) --> (210*3)/(1005*(290-285))

Evaluating ... ...

ma = 0.125373134328358

STEP 3: Convert Result to Output's Unit

0.125373134328358 Kilogram per Second -->7.52238805970149 Kilogram per Minute (Check conversion here)

FINAL ANSWER

7.52238805970149 ≈ 7.522388 Kilogram per Minute <-- Mass of Air

(Calculation completed in 00.004 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Air Refrigeration Systems » Simple Air Evaporative Cooling System » Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine

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Created by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 4 Simple Air Evaporative Cooling System Calculators

C.O.P. of simple air evaporative cycle

Go Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air))

Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine

Go Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual exit Temperature of cooling turbine))

Initial Mass of Evaporant Required to be Carried for given Flight Time

Go Mass = (Rate of Heat Removal*Time in Minutes)/Latent Heat of Vaporization

COP of Air Cycle given Input Power

Go Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60)

< 2 Reduced Ambient Air Cooling System Calculators

Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine

Go Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual exit Temperature of cooling turbine))

COP of Air Cycle given Input Power

Go Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60)

Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine Formula

What is Simple Evaporative Cooling System?

It is similar to the simple cooling system, except that the addition of an evaporator between the heat exchanger and the cooling turbine.

How to Calculate Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine?

Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine calculator uses Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual exit Temperature of cooling turbine)) to calculate the Mass of Air, The Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine is defined as the amount of air required to produce Q tonnes of refrigeration when the cooling turbine exit temperature is given. Mass of Air is denoted by ma symbol.

How to calculate Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine using this online calculator? To use this online calculator for Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine, enter Tonnage of Refrigeration in TR (Q), Specific Heat Capacity at Constant Pressure (C_p), Temperature at End of Isentropic Expansion (T₄) & Actual exit Temperature of cooling turbine (T7^') and hit the calculate button. Here is how the Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine calculation can be explained with given input values -> 451.3433 = (210*3)/(1005*(290-285)).

FAQ

What is Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine?

The Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine is defined as the amount of air required to produce Q tonnes of refrigeration when the cooling turbine exit temperature is given and is represented as ma = (210*Q)/(C_p*(T₄-T7^')) or Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual exit Temperature of cooling turbine)). The Tonnage of Refrigeration in TR is defined as the rate of heat transfer that results in the freezing or melting of 1 short ton of pure ice at 0 °C in 24 hours, Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure, Temperature at End of Isentropic Expansion is the temperature from where isentropic expansion ends and isobaric expansion starts & The actual exit Temperature of cooling turbine is the temperature of the refrigerant after actual process of expansion.

How to calculate Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine?

The Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine is defined as the amount of air required to produce Q tonnes of refrigeration when the cooling turbine exit temperature is given is calculated using Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual exit Temperature of cooling turbine)). To calculate Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine, you need Tonnage of Refrigeration in TR (Q), Specific Heat Capacity at Constant Pressure (C_p), Temperature at End of Isentropic Expansion (T₄) & Actual exit Temperature of cooling turbine (T7^'). With our tool, you need to enter the respective value for Tonnage of Refrigeration in TR, Specific Heat Capacity at Constant Pressure, Temperature at End of Isentropic Expansion & Actual exit Temperature of cooling turbine and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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