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Work required for Isentropic Compression Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work_for_Isentropic_Process = (((Specific Heat Ratio)/(Specific Heat Ratio-1))*(Mass*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Specific Heat Ratio-1)/(Specific Heat Ratio))-1))
Wise = (((γ)/(γ-1))*(m*R*Tin)*((P2/P1)^((γ-1)/(γ))-1))
This formula uses 6 Variables
Variables Used
Specific Heat Ratio- The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.
Mass - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it. (Measured in Kilogram)
Specific gas constant - The specific gas constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture. (Measured in Joule per Kilogram per K)
Input temperature - Input temperature is the degree or intensity of heat present in the system. (Measured in Kelvin)
Pressure 2 - Pressure 2 is the pressure at give point 2. (Measured in Bar)
Pressure 1 - Pressure 1 is the pressure at give point 1. (Measured in Bar)
STEP 1: Convert Input(s) to Base Unit
Specific Heat Ratio: 1.6 --> No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Specific gas constant: 286.7056 Joule per Kilogram per K --> 286.7056 Joule per Kilogram per K No Conversion Required
Input temperature: 200 Kelvin --> 200 Kelvin No Conversion Required
Pressure 2: 5 Bar --> 500000 Pascal (Check conversion here)
Pressure 1: 1 Bar --> 100000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wise = (((γ)/(γ-1))*(m*R*Tin)*((P2/P1)^((γ-1)/(γ))-1)) --> (((1.6)/(1.6-1))*(35.45*286.7056*200)*((500000/100000)^((1.6-1)/(1.6))-1))
Evaluating ... ...
Wise = 4491434.98712098
STEP 3: Convert Result to Output's Unit
4491434.98712098 Joule --> No Conversion Required
4491434.98712098 Joule <-- Work required for Isentropic Process
(Calculation completed in 00.016 seconds)

< 3 Plant Engineering Calculators

Work required for Polytropic Compression
Work_for_Polytropic_Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)) Go
Work required for Isentropic Compression
Work_for_Isentropic_Process = (((Specific Heat Ratio)/(Specific Heat Ratio-1))*(Mass*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Specific Heat Ratio-1)/(Specific Heat Ratio))-1)) Go
Work required for Isothermal Compression
Work_for_Isothermal_Compression = 2.3*(Mass for Compression*Specific gas constant*Input temperature)*log10(Pressure 2/Pressure 1) Go

Work required for Isentropic Compression Formula

Work_for_Isentropic_Process = (((Specific Heat Ratio)/(Specific Heat Ratio-1))*(Mass*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Specific Heat Ratio-1)/(Specific Heat Ratio))-1))
Wise = (((γ)/(γ-1))*(m*R*Tin)*((P2/P1)^((γ-1)/(γ))-1))

What is Isentropic?

Isentropic process is an idealized thermodynamic process that is both adiabatic and reversible. It means a process in which the entropy of the system remains unchanged.

How to Calculate Work required for Isentropic Compression?

Work required for Isentropic Compression calculator uses Work_for_Isentropic_Process = (((Specific Heat Ratio)/(Specific Heat Ratio-1))*(Mass*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Specific Heat Ratio-1)/(Specific Heat Ratio))-1)) to calculate the Work required for Isentropic Process, The Work required for Isentropic Compression is Compression which occurs without any change in entropy. Work required for Isentropic Process is denoted by Wise symbol.

How to calculate Work required for Isentropic Compression using this online calculator? To use this online calculator for Work required for Isentropic Compression, enter Specific Heat Ratio (γ), Mass (m), Specific gas constant (R), Input temperature (Tin), Pressure 2 (P2) & Pressure 1 (P1) and hit the calculate button. Here is how the Work required for Isentropic Compression calculation can be explained with given input values -> 4491.435 = (((1.6)/(1.6-1))*(35.45*286.7056*200)*((500000/100000)^((1.6-1)/(1.6))-1)).

FAQ

What is Work required for Isentropic Compression?
The Work required for Isentropic Compression is Compression which occurs without any change in entropy and is represented as Wise = (((γ)/(γ-1))*(m*R*Tin)*((P2/P1)^((γ-1)/(γ))-1)) or Work_for_Isentropic_Process = (((Specific Heat Ratio)/(Specific Heat Ratio-1))*(Mass*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Specific Heat Ratio-1)/(Specific Heat Ratio))-1)). The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume, Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, The specific gas constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture, Input temperature is the degree or intensity of heat present in the system, Pressure 2 is the pressure at give point 2 & Pressure 1 is the pressure at give point 1.
How to calculate Work required for Isentropic Compression?
The Work required for Isentropic Compression is Compression which occurs without any change in entropy is calculated using Work_for_Isentropic_Process = (((Specific Heat Ratio)/(Specific Heat Ratio-1))*(Mass*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Specific Heat Ratio-1)/(Specific Heat Ratio))-1)). To calculate Work required for Isentropic Compression, you need Specific Heat Ratio (γ), Mass (m), Specific gas constant (R), Input temperature (Tin), Pressure 2 (P2) & Pressure 1 (P1). With our tool, you need to enter the respective value for Specific Heat Ratio, Mass, Specific gas constant, Input temperature, Pressure 2 & Pressure 1 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 required for Isentropic Process?
In this formula, Work required for Isentropic Process uses Specific Heat Ratio, Mass, Specific gas constant, Input temperature, Pressure 2 & Pressure 1. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Work_for_Isentropic_Process = (((Specific Heat Ratio)/(Specific Heat Ratio-1))*(Mass*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Specific Heat Ratio-1)/(Specific Heat Ratio))-1))
• Work_for_Isothermal_Compression = 2.3*(Mass for Compression*Specific gas constant*Input temperature)*log10(Pressure 2/Pressure 1)
• Work_for_Polytropic_Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)) Let Others Know