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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 in terms of exit temperature of cooling turbine Solution

STEP 0: Pre-Calculation Summary
Formula Used
mass_of_air = (210*Tonnage of Refrigeration)/(1000*Specific Heat Capacity at Constant Pressure*(Temperature at the end of Isentropic Expansion-Actual exit Temperature of cooling turbine))
mair = (210*Q)/(1000*Cp*(T4-T5'))
This formula uses 4 Variables
Variables Used
Tonnage of Refrigeration - The tonnage of refrigeration 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. (Measured in Joule per Minute)
Specific Heat Capacity at Constant Pressure - 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. (Measured in Joule per Kilogram per K)
Temperature at the end of Isentropic Expansion - Temperature at the end of Isentropic Expansion is the temperature from where isentropic expansion ends and isobaric expansion starts. (Measured in Kelvin)
Actual exit Temperature of cooling turbine - Actual exit Temperature of cooling turbine is the temperatur of the refrigerant after actual process of expansion. (Measured in Kelvin)
STEP 1: Convert Input(s) to Base Unit
Tonnage of Refrigeration: 5 Joule per Minute --> 0.0833333333333333 Joule per Second (Check conversion here)
Specific Heat Capacity at Constant Pressure: 8 Joule per Kilogram per K --> 8 Joule per Kilogram per K No Conversion Required
Temperature at the end of Isentropic Expansion: 273 Kelvin --> 273 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
mair = (210*Q)/(1000*Cp*(T4-T5')) --> (210*0.0833333333333333)/(1000*8*(273-285))
Evaluating ... ...
mair = -0.000182291666666667
STEP 3: Convert Result to Output's Unit
-0.000182291666666667 Kilogram --> No Conversion Required
-0.000182291666666667 Kilogram <-- Mass of air
(Calculation completed in 00.032 seconds)

## < 11 Other formulas that you can solve using the same Inputs

COP of Bell-Coleman Cycle for given temperatures, polytropic index(n) and adiabatic index(γ)
theoretical_coefficient_of_performance = (Temperature at the start of Isentropic Compression-Temperature at the end of Isentropic Expansion)/((Polytropic index/(Polytropic index-1))*((Heat Capacity Ratio-1)/Heat Capacity Ratio)*((Ideal temp at end of isentropic compression-Ideal temp at the end of isobaric cooling)-(Temperature at the start of Isentropic Compression-Temperature at the end of Isentropic Expansion))) Go
Power required to maintain pressure inside the cabin(including ram work)
power_input = ((Mass of air*Specific Heat Capacity at Constant Pressure*Ambient air temperature)/(Compressor efficiency))*((Cabin Pressure/Atmospheric Pressure)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1) Go
Mass of air to produce Q tonnes of refrigeration
mass_of_air = (210*Tonnage of Refrigeration)/(Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion)) Go
Refrigeration Effect Produced
refrigeration_effect = Mass of air*Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion) Go
Heat rejected during cooling process
heat_rejected = Mass of air*Specific Heat Capacity at Constant Pressure*(Actual end temp of isentropic compression-Temperature at the end of cooling process) Go
Expansion Work
work = Mass of air*Specific Heat Capacity at Constant Pressure*(Temperature at the end of cooling process-Actual temperature at end of isentropic expansion) Go
Power required for refrigeration system
power_input = (Mass of air*Specific Heat Capacity at Constant Pressure*(Actual end temp of isentropic compression-Actual temperature of Rammed Air))/60 Go
Compression Work
work = Mass of air*Specific Heat Capacity at Constant Pressure*(Actual end temp of isentropic compression-Actual temperature of Rammed Air) Go
Heat Absorbed during Constant pressure Expansion Process
heat_absorbed = Specific Heat Capacity at Constant Pressure*(Temperature at the start of Isentropic Compression-Temperature at the end of Isentropic Expansion) Go
Heat Rejected during Constant pressure Cooling Process
heat_rejected = Specific Heat Capacity at Constant Pressure*(Ideal temp at end of isentropic compression-Ideal temp at the end of isobaric cooling) Go
C.O.P. of air cycle for given power input and tonnage of refrigeration
actual_coefficient_of_performance = (210*Tonnage of Refrigeration)/(Input Power*60) Go

## < 1 Other formulas that calculate the same Output

Mass of air to produce Q tonnes of refrigeration
mass_of_air = (210*Tonnage of Refrigeration)/(Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion)) Go

### Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine Formula

mass_of_air = (210*Tonnage of Refrigeration)/(1000*Specific Heat Capacity at Constant Pressure*(Temperature at the end of Isentropic Expansion-Actual exit Temperature of cooling turbine))
mair = (210*Q)/(1000*Cp*(T4-T5'))

## 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 in terms of exit temperature of cooling turbine?

Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine calculator uses mass_of_air = (210*Tonnage of Refrigeration)/(1000*Specific Heat Capacity at Constant Pressure*(Temperature at the 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 in terms of exit temperature of cooling turbine = (210* Tonnage of Refrigeration required)/(Constant Pressure Specific Heat Capacity*(t4- actual_exit_temperature_of_cooling_turbine). Mass of air and is denoted by mair symbol.

How to calculate Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine using this online calculator? To use this online calculator for Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine, enter Tonnage of Refrigeration (Q), Specific Heat Capacity at Constant Pressure (Cp), Temperature at the end of Isentropic Expansion (T4) and Actual exit Temperature of cooling turbine (T5') and hit the calculate button. Here is how the Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine calculation can be explained with given input values -> -0.000182 = (210*0.0833333333333333)/(1000*8*(273-285)).

### FAQ

What is Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine?
The Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine = (210* Tonnage of Refrigeration required)/(Constant Pressure Specific Heat Capacity*(t4- actual_exit_temperature_of_cooling_turbine) and is represented as mair = (210*Q)/(1000*Cp*(T4-T5')) or mass_of_air = (210*Tonnage of Refrigeration)/(1000*Specific Heat Capacity at Constant Pressure*(Temperature at the end of Isentropic Expansion-Actual exit Temperature of cooling turbine)). The tonnage of refrigeration 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 the end of Isentropic Expansion is the temperature from where isentropic expansion ends and isobaric expansion starts and Actual exit Temperature of cooling turbine is the temperatur of the refrigerant after actual process of expansion.
How to calculate Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine?
The Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine = (210* Tonnage of Refrigeration required)/(Constant Pressure Specific Heat Capacity*(t4- actual_exit_temperature_of_cooling_turbine) is calculated using mass_of_air = (210*Tonnage of Refrigeration)/(1000*Specific Heat Capacity at Constant Pressure*(Temperature at the end of Isentropic Expansion-Actual exit Temperature of cooling turbine)). To calculate Mass of air to produce Q tonnes of refrigeration in terms of exit temperature of cooling turbine, you need Tonnage of Refrigeration (Q), Specific Heat Capacity at Constant Pressure (Cp), Temperature at the end of Isentropic Expansion (T4) and Actual exit Temperature of cooling turbine (T5'). With our tool, you need to enter the respective value for Tonnage of Refrigeration, Specific Heat Capacity at Constant Pressure, Temperature at the end of Isentropic Expansion and 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, Specific Heat Capacity at Constant Pressure, Temperature at the end of Isentropic Expansion and 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)/(Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion)) Let Others Know