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Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Formula

GoWork done during isentropic compression Formula

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Work done per minute during Isentropic Compression is the energy transferred per minute during the reversible adiabatic compression of a gas in a single stage compressor. Check FAQs

W Isentropic = m \cdot C p \cdot (T discharge - T refrigerant)

W_Isentropic - Work done per minute during Isentropic Compression?m - Mass of Refrigerant in kg per minute?C_p - Specific Heat Capacity at Constant Pressure?T_discharge - Discharge Temperature of Refrigerant?T_refrigerant - Suction Temperature of Refrigerant?

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Example

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Here is how the Work done during isentropic Compression given Specific Heat Capacity Constant Pressure equation looks like with Values.

Here is how the Work done during isentropic Compression given Specific Heat Capacity Constant Pressure equation looks like with Units.

Here is how the Work done during isentropic Compression given Specific Heat Capacity Constant Pressure equation looks like.

582000 = 200 \cdot 29.1 \cdot (450 - 350)

582000J/min = 200kg/min \cdot 29.1J/(kg*K) \cdot (450K - 350K)

582000 = 200 \cdot 29.1 \cdot (450 - 350)

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Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Solution

Follow our step by step solution on how to calculate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?

FIRST Step Consider the formula

W Isentropic = m \cdot C p \cdot (T discharge - T refrigerant)

Next Step Substitute values of Variables

∴

W Isentropic = 200kg/min \cdot 29.1J/(kg*K) \cdot (450K - 350K)

Next Step Convert Units

∴

W Isentropic = 3.3333kg/s \cdot 29.1J/(kg*K) \cdot (450K - 350K)

Next Step Prepare to Evaluate

∴

W Isentropic = 3.3333 \cdot 29.1 \cdot (450 - 350)

Next Step Evaluate

∴

W Isentropic = 9699.99999999999J/s

Next Step Convert to Output's Unit

∴

W Isentropic = 581999.999999999J/min

LAST Step Rounding Answer

∴

W Isentropic = 582000J/min

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Formula Elements

Variables

Work done per minute during Isentropic Compression

Work done per minute during Isentropic Compression is the energy transferred per minute during the reversible adiabatic compression of a gas in a single stage compressor.

Symbol: W_Isentropic

Measurement: Rate of Heat TransferUnit: J/min

Note: Value can be positive or negative.

Formulas to find Work done per minute during Isentropic Compression

Mass of Refrigerant in kg per minute

Mass of refrigerant in kg per minute is the amount of refrigerant in kilograms that flows through the compressor per minute of operation.

Symbol: m

Measurement: Mass Flow RateUnit: kg/min

Note: Value should be greater than 0.

Formulas to find Mass of Refrigerant in kg per minute

Specific Heat Capacity at Constant Pressure

Specific Heat Capacity at Constant Pressure is the amount of heat required to change the temperature of a unit mass of a substance by one degree at constant pressure.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity at Constant Pressure

Discharge Temperature of Refrigerant

Discharge Temperature of Refrigerant is the temperature of refrigerant at the outlet of a single stage compressor after compression is complete.

Symbol: T_discharge

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Discharge Temperature of Refrigerant

Suction Temperature of Refrigerant

Suction Temperature of Refrigerant is the temperature of the refrigerant at the suction port of a single stage compressor during the compression process.

Symbol: T_refrigerant

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Suction Temperature of Refrigerant

Other Formulas to find Work done per minute during Isentropic Compression

Go Work done during isentropic compression

W Isentropic = (\frac{γ}{γ - 1}) \cdot m \cdot [R] \cdot (T discharge - T refrigerant)

Other formulas in Work Done by Single Stage Compressor category

Go Work done during Isothermal Compression given Temperature and Compression Ratio

W Isothermal = 2.3 \cdot m gas \cdot [R] \cdot T 1 \cdot \ln (r)

Go Work done during Isothermal Compression given Temperature and Volume Ratio

W Isothermal = 2.3 \cdot m \cdot [R] \cdot T \cdot \ln (\frac{V 1}{V 2})

Go Work done during Isothermal Compression given Temperature and Pressure Ratio

W Isothermal = 2.3 \cdot m \cdot [R] \cdot T \cdot \ln (\frac{P 2}{P 1})

Go Work done during Isothermal Compression given Pressure and Volume Ratio

W Isothermal = 2.3 \cdot P 1 \cdot V 1 \cdot \ln (\frac{V 1}{V 2})

How to Evaluate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure evaluator uses Work done per minute during Isentropic Compression = Mass of Refrigerant in kg per minute*Specific Heat Capacity at Constant Pressure*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant) to evaluate the Work done per minute during Isentropic Compression, Work done during isentropic Compression given Specific Heat Capacity Constant Pressure formula is defined as the energy transferred during the compression process of a refrigerant in a single stage compressor, where the temperature of the refrigerant changes from the initial to the final state, and is a critical parameter in evaluating the compressor's performance. Work done per minute during Isentropic Compression is denoted by W_Isentropic symbol.

How to evaluate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure using this online evaluator? To use this online evaluator for Work done during isentropic Compression given Specific Heat Capacity Constant Pressure, enter Mass of Refrigerant in kg per minute (m), Specific Heat Capacity at Constant Pressure (C_p), Discharge Temperature of Refrigerant (T_discharge) & Suction Temperature of Refrigerant (T_refrigerant) and hit the calculate button.

FAQs on Work done during isentropic Compression given Specific Heat Capacity Constant Pressure

What is the formula to find Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?

The formula of Work done during isentropic Compression given Specific Heat Capacity Constant Pressure is expressed as Work done per minute during Isentropic Compression = Mass of Refrigerant in kg per minute*Specific Heat Capacity at Constant Pressure*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant). Here is an example- 3.5E+7 = 3.33333333333333*29.1*(450-350).

How to calculate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?

With Mass of Refrigerant in kg per minute (m), Specific Heat Capacity at Constant Pressure (C_p), Discharge Temperature of Refrigerant (T_discharge) & Suction Temperature of Refrigerant (T_refrigerant) we can find Work done during isentropic Compression given Specific Heat Capacity Constant Pressure using the formula - Work done per minute during Isentropic Compression = Mass of Refrigerant in kg per minute*Specific Heat Capacity at Constant Pressure*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant).

What are the other ways to Calculate Work done per minute during Isentropic Compression?

Here are the different ways to Calculate Work done per minute during Isentropic Compression-

Work done per minute during Isentropic Compression=(Isentropic Index/(Isentropic Index-1))*Mass of Refrigerant in kg per minute*[R]*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant)

Can the Work done during isentropic Compression given Specific Heat Capacity Constant Pressure be negative?

Yes, the Work done during isentropic Compression given Specific Heat Capacity Constant Pressure, measured in Rate of Heat Transfer can be negative.

Which unit is used to measure Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure is usually measured using the Joule per Minute[J/min] for Rate of Heat Transfer. Joule per Second[J/min], Megajoule per Second[J/min], Kilojoule per Second[J/min] are the few other units in which Work done during isentropic Compression given Specific Heat Capacity Constant Pressure can be measured.

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Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Formula

​GoWork done during isentropic compression Formula

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Example

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Solution

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Formula Elements

Other Formulas to find Work done per minute during Isentropic Compression

Other formulas in Work Done by Single Stage Compressor category

How to Evaluate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?

FAQs on Work done during isentropic Compression given Specific Heat Capacity Constant Pressure

Variable Name

GoWork done during isentropic compression Formula