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Work done during polytropic compression Formula

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Work done per minute during Polytropic Compression is the energy transferred per minute during the polytropic compression process in a single stage compressor. Check FAQs

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

W_Polytropic - Work done per minute during Polytropic Compression?n - Polytropic Index?m - Mass of Refrigerant in kg per minute?T_discharge - Discharge Temperature of Refrigerant?T_refrigerant - Suction Temperature of Refrigerant?[R] - Universal gas constant?

Work done during polytropic compression Example

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Here is how the Work done during polytropic compression equation looks like with Values.

Here is how the Work done during polytropic compression equation looks like with Units.

Here is how the Work done during polytropic compression equation looks like.

720586.7602 = (\frac{1.3}{1.3 - 1}) \cdot 200 \cdot 8.3145 \cdot (450 - 350)

720586.7602J/min = (\frac{1.3}{1.3 - 1}) \cdot 200kg/min \cdot 8.3145 \cdot (450K - 350K)

720586.7602 = (\frac{1.3}{1.3 - 1}) \cdot 200 \cdot 8.3145 \cdot (450 - 350)

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Work done during polytropic compression Solution

Follow our step by step solution on how to calculate Work done during polytropic compression?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W Polytropic = (\frac{1.3}{1.3 - 1}) \cdot 200kg/min \cdot [R] \cdot (450K - 350K)

Next Step Substitute values of Constants

∴

W Polytropic = (\frac{1.3}{1.3 - 1}) \cdot 200kg/min \cdot 8.3145 \cdot (450K - 350K)

Next Step Convert Units

∴

W Polytropic = (\frac{1.3}{1.3 - 1}) \cdot 3.3333kg/s \cdot 8.3145 \cdot (450K - 350K)

Next Step Prepare to Evaluate

∴

W Polytropic = (\frac{1.3}{1.3 - 1}) \cdot 3.3333 \cdot 8.3145 \cdot (450 - 350)

Next Step Evaluate

∴

W Polytropic = 12009.7793373324J/s

Next Step Convert to Output's Unit

∴

W Polytropic = 720586.760239947J/min

LAST Step Rounding Answer

∴

W Polytropic = 720586.7602J/min

Work done during polytropic compression Formula Elements

Variables

Constants

Work done per minute during Polytropic Compression

Work done per minute during Polytropic Compression is the energy transferred per minute during the polytropic compression process in a single stage compressor.

Symbol: W_Polytropic

Measurement: Rate of Heat TransferUnit: J/min

Note: Value can be positive or negative.

Formulas to find Work done per minute during Polytropic Compression

Polytropic Index

Polytropic Index is a dimensionless quantity used to describe the compression and expansion process of a gas in a single stage compressor.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Polytropic Index

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

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

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

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 polytropic compression?

Work done during polytropic compression evaluator uses Work done per minute during Polytropic Compression = (Polytropic Index/(Polytropic Index-1))*Mass of Refrigerant in kg per minute*[R]*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant) to evaluate the Work done per minute during Polytropic Compression, Work done during polytropic compression formula is defined as the energy transferred to the refrigerant during the compression process in a single stage compressor, which is a critical parameter in refrigeration systems, affecting the overall performance and efficiency of the compressor. Work done per minute during Polytropic Compression is denoted by W_Polytropic symbol.

How to evaluate Work done during polytropic compression using this online evaluator? To use this online evaluator for Work done during polytropic compression, enter Polytropic Index (n), Mass of Refrigerant in kg per minute (m), Discharge Temperature of Refrigerant (T_discharge) & Suction Temperature of Refrigerant (T_refrigerant) and hit the calculate button.

FAQs on Work done during polytropic compression

What is the formula to find Work done during polytropic compression?

The formula of Work done during polytropic compression is expressed as Work done per minute during Polytropic Compression = (Polytropic Index/(Polytropic Index-1))*Mass of Refrigerant in kg per minute*[R]*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant). Here is an example- 4.3E+7 = (1.3/(1.3-1))*3.33333333333333*[R]*(450-350).

How to calculate Work done during polytropic compression?

With Polytropic Index (n), Mass of Refrigerant in kg per minute (m), Discharge Temperature of Refrigerant (T_discharge) & Suction Temperature of Refrigerant (T_refrigerant) we can find Work done during polytropic compression using the formula - Work done per minute during Polytropic Compression = (Polytropic Index/(Polytropic Index-1))*Mass of Refrigerant in kg per minute*[R]*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant). This formula also uses Universal gas constant .

Can the Work done during polytropic compression be negative?

Yes, the Work done during polytropic compression, measured in Rate of Heat Transfer can be negative.

Which unit is used to measure Work done during polytropic compression?

Work done during polytropic compression 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 polytropic compression can be measured.

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Work done during polytropic compression Formula

Work done during polytropic compression Example

Work done during polytropic compression Solution

Work done during polytropic compression Formula Elements

Other formulas in Work Done by Single Stage Compressor category

How to Evaluate Work done during polytropic compression?

FAQs on Work done during polytropic compression

Variable Name