COP of Air Cycle for given Input Power and Tonnage of Refrigeration 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%
✖Input Power is the power, which is required by the appliance at its input i.e., from the plug point.ⓘ Input Power [P_in]			+10% -10%

✖The actual coefficient of Performance is the ratio of the actual cooling effect produced to the actual power consumption.ⓘ COP of Air Cycle for given Input Power and Tonnage of Refrigeration [COP_actual]

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COP of Air Cycle for given Input Power and Tonnage of Refrigeration

Formula

`"COP"_{"actual"} = (210*"Q")/("P"_{"in"}*60)`

Example

`"0.233333"=(210*"3")/("2.7kJ/min"*60)`

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COP of Air Cycle for given Input Power and Tonnage of Refrigeration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60)
COP_actual = (210*Q)/(P_in*60)
This formula uses 3 Variables

Variables Used

Actual Coefficient of Performance - The actual coefficient of Performance is the ratio of the actual cooling effect produced to the actual power consumption.
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.
Input Power - (Measured in Watt) - Input Power is the power, which is required by the appliance at its input i.e., from the plug point.

STEP 1: Convert Input(s) to Base Unit

Tonnage of Refrigeration in TR: 3 --> No Conversion Required
Input Power: 2.7 Kilojoule per Minute --> 45.0000000000001 Watt (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

COP_actual = (210*Q)/(P_in*60) --> (210*3)/(45.0000000000001*60)

Evaluating ... ...

COP_actual = 0.233333333333333

STEP 3: Convert Result to Output's Unit

0.233333333333333 --> No Conversion Required

FINAL ANSWER

0.233333333333333 ≈ 0.233333 <-- Actual Coefficient of Performance

(Calculation completed in 00.004 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Air Refrigeration Systems » COP of Air Cycle for given Input Power and Tonnage of Refrigeration

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

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< 17 Air Refrigeration Systems Calculators

Power required to maintain pressure inside cabin excluding ram work

Go Input Power = ((Mass of Air*Specific Heat Capacity at Constant Pressure*Actual temperature of Rammed Air)/(Compressor Efficiency))*((Cabin Pressure/Pressure of Rammed Air)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

Power Required to Maintain Pressure inside Cabin including Ram Work

Go Input Power = ((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)

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))

C.O.P. of simple air cycle

Go Actual Coefficient of Performance = (Inside temperature of cabin-Actual temperature at end of isentropic expansion)/(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))

Mass of air to produce Q tonnes of refrigeration

Go 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))

Expansion Work

Go Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Temperature at the end of cooling process-Actual temperature at end of isentropic expansion)

Refrigeration Effect Produced

Go Refrigeration Effect Produced = Mass of Air*Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion)

Heat rejected during cooling process

Go Heat Rejected = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Temperature at the end of cooling process)

Compression Work

Go Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air)

Power Required for Refrigeration System

Go Input Power = (Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air))/60

Temperature Ratio at Start and End of Ramming Process

Go Temperature Ratio = 1+(Velocity^2*(Heat Capacity Ratio-1))/(2*Heat Capacity Ratio*[R]*Initial Temperature)

Ram Efficiency

Go Ram Efficiency = (Stagnation Pressure of System-Initial Pressure of System)/(Final Pressure of System-Initial Pressure of System)

Local Sonic or Acoustic Velocity at Ambient Air Conditions

Go Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5

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 for given Input Power and Tonnage of Refrigeration

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

COP of Air Cycle given Input Power

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

COP of Air Cycle for given Input Power and Tonnage of Refrigeration Formula

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

How do you calculate coefficient of performance?

You can calculate the coefficient of performance by dividing how much energy a system produces by the amount of energy you input into the system. This coefficient of performance formula applies across fields.

How to Calculate COP of Air Cycle for given Input Power and Tonnage of Refrigeration?

COP of Air Cycle for given Input Power and Tonnage of Refrigeration calculator uses Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60) to calculate the Actual Coefficient of Performance, COP of Air Cycle for given Input Power and Tonnage of Refrigeration is used to determine the Coefficient of performance of air cycle when the power required for the refrigerating system and refrigeration capacity is given. Actual Coefficient of Performance is denoted by COP_actual symbol.

How to calculate COP of Air Cycle for given Input Power and Tonnage of Refrigeration using this online calculator? To use this online calculator for COP of Air Cycle for given Input Power and Tonnage of Refrigeration, enter Tonnage of Refrigeration in TR (Q) & Input Power (P_in) and hit the calculate button. Here is how the COP of Air Cycle for given Input Power and Tonnage of Refrigeration calculation can be explained with given input values -> 0.233333 = (210*3)/(45.0000000000001*60).

FAQ

What is COP of Air Cycle for given Input Power and Tonnage of Refrigeration?

COP of Air Cycle for given Input Power and Tonnage of Refrigeration is used to determine the Coefficient of performance of air cycle when the power required for the refrigerating system and refrigeration capacity is given and is represented as COP_actual = (210*Q)/(P_in*60) or Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60). 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 & Input Power is the power, which is required by the appliance at its input i.e., from the plug point.

How to calculate COP of Air Cycle for given Input Power and Tonnage of Refrigeration?

COP of Air Cycle for given Input Power and Tonnage of Refrigeration is used to determine the Coefficient of performance of air cycle when the power required for the refrigerating system and refrigeration capacity is given is calculated using Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60). To calculate COP of Air Cycle for given Input Power and Tonnage of Refrigeration, you need Tonnage of Refrigeration in TR (Q) & Input Power (P_in). With our tool, you need to enter the respective value for Tonnage of Refrigeration in TR & Input Power 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 Actual Coefficient of Performance?

In this formula, Actual Coefficient of Performance uses Tonnage of Refrigeration in TR & Input Power. We can use 3 other way(s) to calculate the same, which is/are as follows -

Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60)
Actual Coefficient of Performance = (Inside temperature of cabin-Actual temperature at end of isentropic expansion)/(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air)
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))

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