Work done during polytropic compression Calculator

✖Polytropic Index is a dimensionless quantity used to describe the compression and expansion process of a gas in a single stage compressor.ⓘ Polytropic Index [n]			+10% -10%
✖Mass of refrigerant in kg per minute is the amount of refrigerant in kilograms that flows through the compressor per minute of operation.ⓘ Mass of Refrigerant in kg per minute [m]			+10% -10%
✖Discharge Temperature of Refrigerant is the temperature of refrigerant at the outlet of a single stage compressor after compression is complete.ⓘ Discharge Temperature of Refrigerant [T_discharge]			+10% -10%
✖Suction Temperature of Refrigerant is the temperature of the refrigerant at the suction port of a single stage compressor during the compression process.ⓘ Suction Temperature of Refrigerant [T_refrigerant]			+10% -10%

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

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Work done during polytropic compression Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_Polytropic = (n/(n-1))*m*[R]*(T_discharge-T_refrigerant)
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Work done per minute during Polytropic Compression - (Measured in Joule per Second) - Work done per minute during Polytropic Compression is the energy transferred per minute during the polytropic compression process in a single stage compressor.
Polytropic Index - Polytropic Index is a dimensionless quantity used to describe the compression and expansion process of a gas in a single stage compressor.
Mass of Refrigerant in kg per minute - (Measured in Kilogram per Second) - Mass of refrigerant in kg per minute is the amount of refrigerant in kilograms that flows through the compressor per minute of operation.
Discharge Temperature of Refrigerant - (Measured in Kelvin) - Discharge Temperature of Refrigerant is the temperature of refrigerant at the outlet of a single stage compressor after compression is complete.
Suction Temperature of Refrigerant - (Measured in Kelvin) - Suction Temperature of Refrigerant is the temperature of the refrigerant at the suction port of a single stage compressor during the compression process.

STEP 1: Convert Input(s) to Base Unit

Polytropic Index: 1.3 --> No Conversion Required
Mass of Refrigerant in kg per minute: 200 Kilogram per Minute --> 3.33333333333333 Kilogram per Second (Check conversion here)
Discharge Temperature of Refrigerant: 450 Kelvin --> 450 Kelvin No Conversion Required
Suction Temperature of Refrigerant: 350 Kelvin --> 350 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_Polytropic = (n/(n-1))*m*[R]*(T_discharge-T_refrigerant) --> (1.3/(1.3-1))*3.33333333333333*[R]*(450-350)

Evaluating ... ...

W_Polytropic = 12009.7793373324

STEP 3: Convert Result to Output's Unit

12009.7793373324 Joule per Second -->720586.760239947 Joule per Minute (Check conversion here)

FINAL ANSWER

720586.760239947 ≈ 720586.8 Joule per Minute <-- Work done per minute during Polytropic Compression

(Calculation completed in 00.012 seconds)

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Created by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

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< Work Done by Single Stage Compressor Calculators

Work done during Isothermal Compression given Temperature and Pressure Ratio

LaTeX Go Work done per minute during Isothermal Compression = 2.3*Mass of Refrigerant in kg per minute*[R]*Temperature of Refrigerant*ln(Discharge Pressure of Refrigerant/Suction Pressure)

Work done during Isothermal Compression given Temperature and Volume Ratio

LaTeX Go Work done per minute during Isothermal Compression = 2.3*Mass of Refrigerant in kg per minute*[R]*Temperature of Refrigerant*ln(Suction Volume/Discharge Volume)

Work done during Isothermal Compression given Pressure and Volume Ratio

LaTeX Go Work done per minute during Isothermal Compression = 2.3*Suction Pressure*Suction Volume*ln(Suction Volume/Discharge Volume)

Work done during Isothermal Compression given Temperature and Compression Ratio

LaTeX Go Work done per minute during Isothermal Compression = 2.3*Mass of Gas*[R]*Temperature of Gas 1*ln(Compression Ratio)

Work done during polytropic compression Formula

LaTeX Go

What is Polytropic Process?

Polytropic Process can be defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant.

How to Calculate Work done during polytropic compression?

Work done during polytropic compression calculator 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 calculate 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 calculate Work done during polytropic compression using this online calculator? To use this online calculator 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. Here is how the Work done during polytropic compression calculation can be explained with given input values -> 4.3E+7 = (1.3/(1.3-1))*3.33333333333333*[R]*(450-350).

FAQ

What is Work done 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 and is represented as W_Polytropic = (n/(n-1))*m*[R]*(T_discharge-T_refrigerant) or 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). Polytropic Index is a dimensionless quantity used to describe the compression and expansion process of a gas in a single stage compressor, Mass of refrigerant in kg per minute is the amount of refrigerant in kilograms that flows through the compressor per minute of operation, Discharge Temperature of Refrigerant is the temperature of refrigerant at the outlet of a single stage compressor after compression is complete & Suction Temperature of Refrigerant is the temperature of the refrigerant at the suction port of a single stage compressor during the compression process.

How to calculate Work done 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 is calculated using 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 calculate Work done during polytropic compression, you need Polytropic Index (n), Mass of Refrigerant in kg per minute (m), Discharge Temperature of Refrigerant (T_discharge) & Suction Temperature of Refrigerant (T_refrigerant). With our tool, you need to enter the respective value for Polytropic Index, Mass of Refrigerant in kg per minute, Discharge Temperature of Refrigerant & Suction Temperature of Refrigerant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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