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)
WPolytropic = (n/(n-1))*m*[R]*(Tdischarge-Trefrigerant)
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 work done on the system during the polytropic compression of refrigerant.
Polytropic Index - The Polytropic Index is that defined via a polytropic equation of state. The index dictates the type of thermodynamic process.
Mass of refrigerant in kg per minute - (Measured in Kilogram per Second) - Mass of refrigerant in kg per minute is the mass on or by which the work is done.
Discharge Temperature of Refrigerant - (Measured in Kelvin) - The Discharge temperature of refrigerant is the temperature of refrigerant at the outlet or during the discharge stroke.
Suction Temperature of Refrigerant - (Measured in Kelvin) - The Suction temperature of refrigerant is the temperature of refrigerant at inlet or during the suction stroke.
STEP 1: Convert Input(s) to Base Unit
Polytropic Index: 1.3 --> No Conversion Required
Mass of refrigerant in kg per minute: 2 Kilogram per Minute --> 0.0333333333333333 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
WPolytropic = (n/(n-1))*m*[R]*(Tdischarge-Trefrigerant) --> (1.3/(1.3-1))*0.0333333333333333*[R]*(450-350)
Evaluating ... ...
WPolytropic = 120.097793373324
STEP 3: Convert Result to Output's Unit
120.097793373324 Joule per Second -->7205.86760239947 Joule per Minute (Check conversion here)
FINAL ANSWER
7205.86760239947 7205.868 Joule per Minute <-- Work done per minute during Polytropic Compression
(Calculation completed in 00.004 seconds)

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8 Work done by Single-Stage, Single Acting Reciprocating Compressor without Clearance Volume Calculators

Work done during polytropic compression
Go 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)
Work done during isentropic compression
Go 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)
Work done during Isothermal Compression given Temperature and Pressure Ratio
Go Work done per minute during Isothermal Compression = 2.3*Mass of refrigerant in kg per minute*[R]*Suction Temperature of Refrigerant*ln(Discharge Pressure of Refrigerant/Suction pressure)
Work done during Isothermal Compression given Temperature and Volume Ratio
Go Work done per minute during Isothermal Compression = 2.3*Mass of refrigerant in kg per minute*[R]*Suction Temperature of Refrigerant*ln(Suction volume/Discharge Volume)
Work done during isentropic Compression given Specific Heat Capacity Constant Pressure
Go 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)
Work done during Isothermal Compression given Volume and Pressure Ratio
Go Work done per minute during Isothermal Compression = 2.3*Suction pressure*Suction volume*ln(Discharge Pressure of Refrigerant/Suction pressure)
Work done during Isothermal Compression given Pressure and Volume Ratio
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
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

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)
WPolytropic = (n/(n-1))*m*[R]*(Tdischarge-Trefrigerant)

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, The Work done during polytropic compression formula calculates the work done on the system during the polytropic compression of refrigerant. Work done per minute during Polytropic Compression is denoted by WPolytropic 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 (Tdischarge) & Suction Temperature of Refrigerant (Trefrigerant) and hit the calculate button. Here is how the Work done during polytropic compression calculation can be explained with given input values -> 432352.1 = (1.3/(1.3-1))*0.0333333333333333*[R]*(450-350).

FAQ

What is Work done during polytropic compression?
The Work done during polytropic compression formula calculates the work done on the system during the polytropic compression of refrigerant and is represented as WPolytropic = (n/(n-1))*m*[R]*(Tdischarge-Trefrigerant) 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). The Polytropic Index is that defined via a polytropic equation of state. The index dictates the type of thermodynamic process, Mass of refrigerant in kg per minute is the mass on or by which the work is done, The Discharge temperature of refrigerant is the temperature of refrigerant at the outlet or during the discharge stroke & The Suction temperature of refrigerant is the temperature of refrigerant at inlet or during the suction stroke.
How to calculate Work done during polytropic compression?
The Work done during polytropic compression formula calculates the work done on the system during the polytropic compression of refrigerant 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 (Tdischarge) & Suction Temperature of Refrigerant (Trefrigerant). 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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