## 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)/(Cp*(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)/(Cp*(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)
7.52238805970149 7.522388 Kilogram per Minute <-- Mass of Air
(Calculation completed in 00.020 seconds)
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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## Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine Formula

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)/(Cp*(T4-T7'))

## 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 (Cp), 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)/(Cp*(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 (Cp), 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.
How many ways are there to calculate Mass of Air?
In this formula, Mass of Air uses Tonnage of Refrigeration in TR, Specific Heat Capacity at Constant Pressure, Temperature at End of Isentropic Expansion & Actual exit Temperature of cooling turbine. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion))
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