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Work required for Isothermal Compression Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work_for_Isothermal_Compression = 2.3*(Mass for Compression*Specific gas constant*Input temperature)*log10(Pressure 2/Pressure 1)
Wiso = 2.3*(m*R*Tin)*log10(P2/P1)
This formula uses 2 Functions, 5 Variables
Functions Used
log10 - Common logarithm function (base 10), log10(Number)
log - Logarithm function, log(Number, Base)
Variables Used
Mass for Compression - Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter. (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
Mass for Compression: 1 Kilogram --> 1 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
Wiso = 2.3*(m*R*Tin)*log10(P2/P1) --> 2.3*(1*286.7056*200)*log10(500000/100000)
Evaluating ... ...
Wiso = 92183.362658574
STEP 3: Convert Result to Output's Unit
92183.362658574 Joule --> No Conversion Required
FINAL ANSWER
92183.362658574 Joule <-- Work for Isothermal Compression Process
(Calculation completed in 00.015 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 Isothermal Compression Formula

Work_for_Isothermal_Compression = 2.3*(Mass for Compression*Specific gas constant*Input temperature)*log10(Pressure 2/Pressure 1)
Wiso = 2.3*(m*R*Tin)*log10(P2/P1)

What is Isothermal Compression ?

Isothermal compression is the process of reducing the volume of a certain mass of fluid, by keeping its temperature constant throughout the process. Therefore the internal energy of the fluid also remains constant.

How to Calculate Work required for Isothermal Compression?

Work required for Isothermal Compression calculator uses Work_for_Isothermal_Compression = 2.3*(Mass for Compression*Specific gas constant*Input temperature)*log10(Pressure 2/Pressure 1) to calculate the Work for Isothermal Compression Process, Work required for Isothermal Compression of a gas is to decrease the volume and increase the pressure. Work for Isothermal Compression Process is denoted by Wiso symbol.

How to calculate Work required for Isothermal Compression using this online calculator? To use this online calculator for Work required for Isothermal Compression, enter Mass for Compression (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 Isothermal Compression calculation can be explained with given input values -> 92183.36 = 2.3*(1*286.7056*200)*log10(500000/100000).

FAQ

What is Work required for Isothermal Compression?
Work required for Isothermal Compression of a gas is to decrease the volume and increase the pressure and is represented as Wiso = 2.3*(m*R*Tin)*log10(P2/P1) or Work_for_Isothermal_Compression = 2.3*(Mass for Compression*Specific gas constant*Input temperature)*log10(Pressure 2/Pressure 1). Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter, 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 Isothermal Compression?
Work required for Isothermal Compression of a gas is to decrease the volume and increase the pressure is calculated using Work_for_Isothermal_Compression = 2.3*(Mass for Compression*Specific gas constant*Input temperature)*log10(Pressure 2/Pressure 1). To calculate Work required for Isothermal Compression, you need Mass for Compression (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 Mass for Compression, 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 for Isothermal Compression Process?
In this formula, Work for Isothermal Compression Process uses Mass for Compression, 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))
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