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

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✖Ton of Refrigeration is a unit of power used to describe the heat-extraction capacity of air conditioning and refrigeration equipment.ⓘ Ton of Refrigeration [TR]			+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 End of Isentropic Expansion is the final temperature of air at the end of an isentropic expansion process in air refrigeration systems.ⓘ Temperature at End of Isentropic Expansion [T₄]			+10% -10%
✖Actual exit Temperature of cooling turbine is the temperature of air refrigerant at the outlet of the cooling turbine in an air refrigeration system.ⓘ Actual Exit Temperature of Cooling Turbine [T7^']			+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 given exit temperature of cooling turbine [M]

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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

M = \frac{210 \cdot TR}{C p \cdot (T 4 - T7')}

Example

117.8507 kg/min = \frac{210 \cdot 47}{1.005 kJ/kg*K \cdot (290 K - 285 K)}

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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 = (210*Ton of Refrigeration)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual Exit Temperature of Cooling Turbine))
M = (210*TR)/(C_p*(T₄-T7^'))
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.
Ton of Refrigeration - Ton of Refrigeration is a unit of power used to describe the heat-extraction capacity of air conditioning and refrigeration equipment.
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 End of Isentropic Expansion - (Measured in Kelvin) - 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 Exit Temperature of Cooling Turbine - (Measured in Kelvin) - Actual exit Temperature of cooling turbine is the temperature of air refrigerant at the outlet of the cooling turbine in an air refrigeration system.

STEP 1: Convert Input(s) to Base Unit

Ton of Refrigeration: 47 --> 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

M = (210*TR)/(C_p*(T₄-T7^')) --> (210*47)/(1005*(290-285))

Evaluating ... ...

M = 1.96417910447761

STEP 3: Convert Result to Output's Unit

1.96417910447761 Kilogram per Second -->117.850746268657 Kilogram per Minute (Check conversion here)

FINAL ANSWER

117.850746268657 ≈ 117.8507 Kilogram per Minute <-- Mass

(Calculation completed in 00.020 seconds)

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Created by Rushi Shah

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

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National Institute Of Technology (NIT), Hamirpur

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

Mass = (210*Ton of Refrigeration)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual Exit Temperature of Cooling Turbine))
M = (210*TR)/(C_p*(T₄-T7^'))

What is Simple Evaporative Cooling System?

The Simple Evaporative Cooling System uses the natural process of evaporation to cool air. In this system, warm air passes through a water-saturated media, such as a pad or filter. As the air moves through the wet media, water evaporates, absorbing heat from the air and reducing its temperature. The cooled air is then circulated into the space, providing effective and energy-efficient cooling. This type of system is often used in dry climates where humidity levels are low.

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 = (210*Ton of Refrigeration)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual Exit Temperature of Cooling Turbine)) to calculate the Mass, Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine formula is defined as the amount of air required to produce a certain quantity of refrigeration, considering the exit temperature of the cooling turbine, which is a critical parameter in refrigeration systems. Mass is denoted by M 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 Ton of Refrigeration (TR), 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 -> 7221.493 = (210*47)/(1005*(290-285)).

FAQ

What is 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 formula is defined as the amount of air required to produce a certain quantity of refrigeration, considering the exit temperature of the cooling turbine, which is a critical parameter in refrigeration systems and is represented as M = (210*TR)/(C_p*(T₄-T7^')) or Mass = (210*Ton of Refrigeration)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual Exit Temperature of Cooling Turbine)). Ton of Refrigeration is a unit of power used to describe the heat-extraction capacity of air conditioning and refrigeration equipment, 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 End of Isentropic Expansion is the final temperature of air at the end of an isentropic expansion process in air refrigeration systems & Actual exit Temperature of cooling turbine is the temperature of air refrigerant at the outlet of the cooling turbine in an air refrigeration system.

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 formula is defined as the amount of air required to produce a certain quantity of refrigeration, considering the exit temperature of the cooling turbine, which is a critical parameter in refrigeration systems is calculated using Mass = (210*Ton of Refrigeration)/(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 Ton of Refrigeration (TR), 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 Ton of Refrigeration, 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?

In this formula, Mass uses Ton of Refrigeration, 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 = (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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