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Power Required for Refrigeration System Formula

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Power Required is the energy needed to operate an air refrigeration system, typically measured in watts or kilowatts, to cool a given amount of air. Check FAQs

P req = (\frac{ma \cdot C p \cdot (Tt' - T2')}{60})

P_req - Power Required?ma - Mass of Air?C_p - Specific Heat Capacity at Constant Pressure?Tt^' - Actual End Temp of Isentropic Compression?T2^' - Actual Temperature of Rammed Air?

Power Required for Refrigeration System Example

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Here is how the Power Required for Refrigeration System equation looks like with Values.

Here is how the Power Required for Refrigeration System equation looks like with Units.

Here is how the Power Required for Refrigeration System equation looks like.

9286.2 = (\frac{120 \cdot 1.005 \cdot (350 - 273)}{60})

9286.2kJ/min = (\frac{120kg/min \cdot 1.005kJ/kg*K \cdot (350K - 273K)}{60})

9286.2 = (\frac{120 \cdot 1.005 \cdot (350 - 273)}{60})

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Power Required for Refrigeration System Solution

Follow our step by step solution on how to calculate Power Required for Refrigeration System?

FIRST Step Consider the formula

P req = (\frac{ma \cdot C p \cdot (Tt' - T2')}{60})

Next Step Substitute values of Variables

∴

P req = (\frac{120kg/min \cdot 1.005kJ/kg*K \cdot (350K - 273K)}{60})

Next Step Convert Units

∴

P req = (\frac{120kg/min \cdot 1005J/(kg*K) \cdot (350K - 273K)}{60})

Next Step Prepare to Evaluate

∴

P req = (\frac{120 \cdot 1005 \cdot (350 - 273)}{60})

Next Step Evaluate

∴

P req = 154770W

Next Step Convert to Output's Unit

∴

P req = 9286.19999999998kJ/min

LAST Step Rounding Answer

∴

P req = 9286.2kJ/min

Power Required for Refrigeration System Formula Elements

Variables

Power Required

Power Required is the energy needed to operate an air refrigeration system, typically measured in watts or kilowatts, to cool a given amount of air.

Symbol: P_req

Measurement: PowerUnit: kJ/min

Note: Value can be positive or negative.

Formulas to find Power Required

Mass of Air

Mass of Air is the amount of air present in a refrigeration system, which affects the cooling performance and overall efficiency of the system.

Symbol: ma

Measurement: Mass Flow RateUnit: kg/min

Note: Value should be greater than 0.

Formulas to find Mass of Air

Specific Heat Capacity at Constant Pressure

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.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity at Constant Pressure

Actual End Temp of Isentropic Compression

Actual End Temp of Isentropic Compression is the final temperature of air at the end of an isentropic compression process in air refrigeration systems.

Symbol: Tt^'

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Actual End Temp of Isentropic Compression

Actual Temperature of Rammed Air

Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system.

Symbol: T2^'

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Actual Temperature of Rammed Air

Other formulas in Air Refrigeration category

Go Energy Performance Ratio of Heat Pump

COP theoretical = \frac{Q delivered}{W per min}

Go Relative Coefficient of Performance

COP relative = \frac{COP actual}{COP theoretical}

Go Theoretical Coefficient of Performance of Refrigerator

COP theoretical = \frac{Q ref}{w}

Go Compression or Expansion Ratio

r p = \frac{P 2}{P 1}

How to Evaluate Power Required for Refrigeration System?

Power Required for Refrigeration System evaluator uses Power Required = ((Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air))/60) to evaluate the Power Required, Power Required for Refrigeration System formula is defined as the total energy needed to operate a refrigeration system, which depends on various factors including the mass flow rate, specific heat capacity, and temperature difference between the evaporator and condenser. Power Required is denoted by P_req symbol.

How to evaluate Power Required for Refrigeration System using this online evaluator? To use this online evaluator for Power Required for Refrigeration System, enter Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Actual End Temp of Isentropic Compression (Tt^') & Actual Temperature of Rammed Air (T2^') and hit the calculate button.

FAQs on Power Required for Refrigeration System

What is the formula to find Power Required for Refrigeration System?

The formula of Power Required for Refrigeration System is expressed as Power Required = ((Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air))/60). Here is an example- 557.172 = ((2*1005*(350-273))/60).

How to calculate Power Required for Refrigeration System?

With Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Actual End Temp of Isentropic Compression (Tt^') & Actual Temperature of Rammed Air (T2^') we can find Power Required for Refrigeration System using the formula - Power Required = ((Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air))/60).

Can the Power Required for Refrigeration System be negative?

Yes, the Power Required for Refrigeration System, measured in Power can be negative.

Which unit is used to measure Power Required for Refrigeration System?

Power Required for Refrigeration System is usually measured using the Kilojoule per Minute[kJ/min] for Power. Watt[kJ/min], Kilowatt[kJ/min], Milliwatt[kJ/min] are the few other units in which Power Required for Refrigeration System can be measured.

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Power Required for Refrigeration System Formula

Power Required for Refrigeration System Example

Power Required for Refrigeration System Solution

Power Required for Refrigeration System Formula Elements

Other formulas in Air Refrigeration category

How to Evaluate Power Required for Refrigeration System?

FAQs on Power Required for Refrigeration System

Variable Name