Van der Waals Equation Calculator

✖The Temperature is a measure of the average kinetic energy of particles in a substance, indicating how hot or cold it is in a thermodynamic context.ⓘ Temperature [T]			+10% -10%
✖The Molar Volume is the volume occupied by one mole of a substance at a specified temperature and pressure, providing insight into the substance's properties in thermodynamics.ⓘ Molar Volume [V_m]			+10% -10%
✖The Gas Constant b is a fundamental parameter in thermodynamics that relates the pressure, volume, and temperature of a gas in various thermodynamic processes.ⓘ Gas Constant b [b]			+10% -10%
✖The Gas Constant a is a fundamental constant in thermodynamics that relates pressure, volume, and temperature in ideal gas equations, influencing the behavior of gases under various conditions.ⓘ Gas Constant a [R_a]			+10% -10%

✖The Van der Waals Equation is a thermodynamic equation that describes the behavior of real gases by accounting for molecular size and intermolecular forces.ⓘ Van der Waals Equation [p]

⎘ Copy

👎

Formula

Reset

👍

Download Thermodynamics Formula PDF PDF Image

Van der Waals Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2
p = [R]*T/(V_m-b)-R_a/V_m^2
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Van der Waals Equation - (Measured in Pascal) - The Van der Waals Equation is a thermodynamic equation that describes the behavior of real gases by accounting for molecular size and intermolecular forces.
Temperature - (Measured in Kelvin) - The Temperature is a measure of the average kinetic energy of particles in a substance, indicating how hot or cold it is in a thermodynamic context.
Molar Volume - (Measured in Cubic Meter per Mole) - The Molar Volume is the volume occupied by one mole of a substance at a specified temperature and pressure, providing insight into the substance's properties in thermodynamics.
Gas Constant b - (Measured in Cubic Meter per Mole) - The Gas Constant b is a fundamental parameter in thermodynamics that relates the pressure, volume, and temperature of a gas in various thermodynamic processes.
Gas Constant a - (Measured in Joule per Kilogram K) - The Gas Constant a is a fundamental constant in thermodynamics that relates pressure, volume, and temperature in ideal gas equations, influencing the behavior of gases under various conditions.

STEP 1: Convert Input(s) to Base Unit

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Molar Volume: 32 Cubic Meter per Mole --> 32 Cubic Meter per Mole No Conversion Required
Gas Constant b: 3.052E-05 Cubic Meter per Mole --> 3.052E-05 Cubic Meter per Mole No Conversion Required
Gas Constant a: 0.547 Joule per Kilogram K --> 0.547 Joule per Kilogram K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = [R]*T/(V_m-b)-R_a/V_m^2 --> [R]*85/(32-3.052E-05)-0.547/32^2

Evaluating ... ...

p = 22.0847782136487

STEP 3: Convert Result to Output's Unit

22.0847782136487 Pascal --> No Conversion Required

FINAL ANSWER

22.0847782136487 ≈ 22.08478 Pascal <-- Van der Waals Equation

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Mechanical » Thermodynamics » Factors of Thermodynamics » Van der Waals Equation

Credits

Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has created this Calculator and 50+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< Factors of Thermodynamics Calculators

Average Speed of Gases

Go Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass))

Molar Mass of Gas given Average Speed of Gas

Go Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)

Degree of Freedom given Equipartition Energy

Go Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)

Absolute Humidity

Go Absolute Humidity = Weight/Volume of Gas

Van der Waals Equation Formula

Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2
p = [R]*T/(V_m-b)-R_a/V_m^2

What is Van der Waals equation?

The van der Waals equation is a thermodynamic equation of state based on the theory that fluids are composed of particles with non-zero volumes, and subject to a (not necessarily pairwise) inter-particle attractive force. The van der Waals equation of state approaches the ideal gas law PV=nRT as the values of these constants approach zero.

How to Calculate Van der Waals Equation?

Van der Waals Equation calculator uses Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2 to calculate the Van der Waals Equation, Van der Waals Equation formula is defined as a relationship that describes the behavior of real gases by accounting for intermolecular forces and molecular volume, providing a more accurate representation than the ideal gas law under various conditions. Van der Waals Equation is denoted by p symbol.

How to calculate Van der Waals Equation using this online calculator? To use this online calculator for Van der Waals Equation, enter Temperature (T), Molar Volume (V_m), Gas Constant b (b) & Gas Constant a (R_a) and hit the calculate button. Here is how the Van der Waals Equation calculation can be explained with given input values -> 22.08478 = [R]*85/(32-3.052E-05)-0.547/32^2.

FAQ

What is Van der Waals Equation?

Van der Waals Equation formula is defined as a relationship that describes the behavior of real gases by accounting for intermolecular forces and molecular volume, providing a more accurate representation than the ideal gas law under various conditions and is represented as p = [R]*T/(V_m-b)-R_a/V_m^2 or Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2. The Temperature is a measure of the average kinetic energy of particles in a substance, indicating how hot or cold it is in a thermodynamic context, The Molar Volume is the volume occupied by one mole of a substance at a specified temperature and pressure, providing insight into the substance's properties in thermodynamics, The Gas Constant b is a fundamental parameter in thermodynamics that relates the pressure, volume, and temperature of a gas in various thermodynamic processes & The Gas Constant a is a fundamental constant in thermodynamics that relates pressure, volume, and temperature in ideal gas equations, influencing the behavior of gases under various conditions.

How to calculate Van der Waals Equation?

Home

FREE PDFs

🔍 Search