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Work required for Isothermal Compression Calculator

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✖Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter.ⓘ Mass for Compression [m]			+10% -10%
✖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.ⓘ Specific Gas Constant [R]			+10% -10%
✖Input Temperature is the degree or intensity of heat present in the system.ⓘ Input Temperature [T_in]			+10% -10%
✖Pressure 2 is the pressure at give point 2.ⓘ Pressure 2 [P₂]			+10% -10%
✖Pressure 1 is the pressure at give point 1.ⓘ Pressure 1 [P₁]			+10% -10%

✖Work for Isothermal Compression Process is work done on the system to decrease the volume and increase the pressure.ⓘ Work required for Isothermal Compression [W_iso]

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Work required for Isothermal Compression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work for Isothermal Compression Process = 2.3*(Mass for Compression*Specific Gas Constant*Input Temperature)*log10(Pressure 2/Pressure 1)
W_iso = 2.3*(m*R*T_in)*log10(P₂/P₁)
This formula uses 1 Functions, 6 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Work for Isothermal Compression Process - (Measured in Joule) - Work for Isothermal Compression Process is work done on the system to decrease the volume and increase the pressure.
Mass for Compression - (Measured in Kilogram) - Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter.
Specific Gas Constant - (Measured in Joule per Kilogram per K) - 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 - (Measured in Kelvin) - Input Temperature is the degree or intensity of heat present in the system.
Pressure 2 - (Measured in Pascal) - Pressure 2 is the pressure at give point 2.
Pressure 1 - (Measured in Pascal) - Pressure 1 is the pressure at give point 1.

STEP 1: Convert Input(s) to Base Unit

Mass for Compression: 2 Kilogram --> 2 Kilogram No Conversion Required
Specific Gas Constant: 0.055 Joule per Kilogram per K --> 0.055 Joule per Kilogram per K No Conversion Required
Input Temperature: 210 Kelvin --> 210 Kelvin No Conversion Required
Pressure 2: 5200 Pascal --> 5200 Pascal No Conversion Required
Pressure 1: 2500 Pascal --> 2500 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_iso = 2.3*(m*R*T_in)*log10(P₂/P₁) --> 2.3*(2*0.055*210)*log10(5200/2500)

Evaluating ... ...

W_iso = 16.8987049865715

STEP 3: Convert Result to Output's Unit

16.8987049865715 Joule --> No Conversion Required

FINAL ANSWER

16.8987049865715 ≈ 16.8987 Joule <-- Work for Isothermal Compression Process

(Calculation completed in 00.020 seconds)

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< Work Required Calculators

Work required for Polytropic Compression

LaTeX Go Work Required 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))

Work required for Isothermal Compression

LaTeX Go Work for Isothermal Compression Process = 2.3*(Mass for Compression*Specific Gas Constant*Input Temperature)*log10(Pressure 2/Pressure 1)

Nominal HP of Driving Motor

LaTeX Go Power = (2*pi*Speed of Agitator*Rated Motor Torque)/4500

Work required for Isothermal Compression Formula

LaTeX Go

Work for Isothermal Compression Process = 2.3*(Mass for Compression*Specific Gas Constant*Input Temperature)*log10(Pressure 2/Pressure 1)
W_iso = 2.3*(m*R*T_in)*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 Process = 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 W_iso 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 (T_in), 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 -> 87873.27 = 2.3*(2*0.055*210)*log10(5200/2500).

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 W_iso = 2.3*(m*R*T_in)*log10(P₂/P₁) or Work for Isothermal Compression Process = 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 Process = 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 (T_in), 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.

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