Work done during isentropic compression Calculator

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✖The Isentropic index is the ratio of the specific heat at constant pressure to the specific heat at constant volume.ⓘ Isentropic Index [γ]			+10% -10%
✖Mass of refrigerant in kg per minute is the mass on or by which the work is done.ⓘ Mass of refrigerant in kg per minute [m]			+10% -10%
✖The Discharge temperature of refrigerant is the temperature of refrigerant at the outlet or during the discharge stroke.ⓘ Discharge Temperature of Refrigerant [T_discharge]			+10% -10%
✖The Suction temperature of refrigerant is the temperature of refrigerant at inlet or during the suction stroke.ⓘ Suction Temperature of Refrigerant [T_refrigerant]			+10% -10%

✖Work done per minute during isentropic compression per minute is the Work done on the system during the isentropic compression of refrigerant.ⓘ Work done during isentropic compression [W_Isentropic]

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Formula

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Work done during isentropic compression

Formula

`"W"_{"Isentropic"} = ("γ"/("γ"-1))*"m"*"[R]"*("T"_{"discharge"}-"T"_{"refrigerant"})`

Example

`"5820.124J/min"=("1.4"/("1.4"-1))*"2kg/min"*"[R]"*("450K"-"350K")`

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Work done during isentropic compression Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_Isentropic = (γ/(γ-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 Isentropic Compression - (Measured in Joule per Second) - Work done per minute during isentropic compression per minute is the Work done on the system during the isentropic compression of refrigerant.
Isentropic Index - The Isentropic index is the ratio of the specific heat at constant pressure to the specific heat at constant volume.
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

Isentropic Index: 1.4 --> 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

W_Isentropic = (γ/(γ-1))*m*[R]*(T_discharge-T_refrigerant) --> (1.4/(1.4-1))*0.0333333333333333*[R]*(450-350)

Evaluating ... ...

W_Isentropic = 97.0020638784544

STEP 3: Convert Result to Output's Unit

97.0020638784544 Joule per Second -->5820.12383270726 Joule per Minute (Check conversion here)

FINAL ANSWER

5820.12383270726 ≈ 5820.124 Joule per Minute <-- Work done per minute during Isentropic Compression

(Calculation completed in 00.004 seconds)

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Created by Abhishek Dharmendra Bansile

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

Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!

Verified by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< 8 Work Done by Single-Stage Compressor 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 isentropic compression Formula

What is isentropic process ?

An isentropic process is a thermodynamic process in which the fluid or gas entropy tends to be constant. This suggests that the isentropic system is a special case of an adiabatic mechanism in which no heat or matter is transported. So an adiabatic process is not actually isentropic in general we should call it isentropic only if the process is reversible and adiabatic.

How to Calculate Work done during isentropic compression?

Work done during isentropic compression calculator uses 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) to calculate the Work done per minute during Isentropic Compression, The Work done during isentropic compression formula calculates the work done on the system during the isentropic compression of refrigerant. Work done per minute during Isentropic Compression is denoted by W_Isentropic symbol.

How to calculate Work done during isentropic compression using this online calculator? To use this online calculator for Work done during isentropic compression, enter Isentropic Index (γ), 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 isentropic compression calculation can be explained with given input values -> 349207.4 = (1.4/(1.4-1))*0.0333333333333333*[R]*(450-350).

FAQ

What is Work done during isentropic compression?

The Work done during isentropic compression formula calculates the work done on the system during the isentropic compression of refrigerant and is represented as W_Isentropic = (γ/(γ-1))*m*[R]*(T_discharge-T_refrigerant) or 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). The Isentropic index is the ratio of the specific heat at constant pressure to the specific heat at constant volume, 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 isentropic compression?

The Work done during isentropic compression formula calculates the work done on the system during the isentropic compression of refrigerant is calculated using 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). To calculate Work done during isentropic compression, you need Isentropic Index (γ), 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 Isentropic 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.

How many ways are there to calculate Work done per minute during Isentropic Compression?

In this formula, Work done per minute during Isentropic Compression uses Isentropic Index, Mass of refrigerant in kg per minute, Discharge Temperature of Refrigerant & Suction Temperature of Refrigerant. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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