Van der Waals Equation Calculator

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Molar Volume is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.ⓘ Molar Volume [V_m]			+10% -10%
✖Gas Constant b adjusts for the volume occupied by the gas particles. It is a correction for finite molecular size and its value is the volume of one mole of the atoms or molecules.ⓘ Gas Constant b [b]			+10% -10%
✖Gas Constant a, provides a correction for intermolecular forces and is a characteristic of the individual gas.ⓘ Gas Constant a [R_a]			+10% -10%

✖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 an inter-particle attractive force.ⓘ Van der Waals Equation [p]

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Van der Waals Equation

Formula

`"p" = "[R]"*"T"/("V"_{"m"}-"b")-"R"_{"a"}/"V"_{"m"}^2`

Example

`"22.08478Pa"="[R]"*"85K"/("32m³/mol"-"30.52e-6m³/mol")-"5.47e-1J/kg*K"/("32m³/mol")^2`

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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 of state based on the theory that fluids are composed of particles with non-zero volumes, and subject to an inter-particle attractive force.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.
Gas Constant b - (Measured in Cubic Meter per Mole) - Gas Constant b adjusts for the volume occupied by the gas particles. It is a correction for finite molecular size and its value is the volume of one mole of the atoms or molecules.
Gas Constant a - (Measured in Joule per Kilogram K) - Gas Constant a, provides a correction for intermolecular forces and is a characteristic of the individual gas.

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 00.004 seconds)

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Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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< 13 Factors of Thermodynamics Calculators

Van der Waals Equation

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

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)

RMS Speed

Go Root Mean Square Velocity = sqrt((3*[R]*Temperature of Gas)/Molar Mass)

Most Probable Speed

Go Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass)

Newton's Law of Cooling

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Change in Momentum

Go Change in Momentum = Mass of Body*(Initial Velocity at Point 2-Initial Velocity at Point 1)

Input Power to Turbine or Power given to Turbine

Go Power = Density*Acceleration due to Gravity*Discharge*Head

Degree of Freedom given Equipartition Energy

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

Molar Mass of Gas given RMS Velocity of Gas

Go Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2

Molar Mass of Gas given Most Probable Speed of Gas

Go Molar Mass = (2*[R]*Temperature of Gas A)/Most Probable Speed^2

Specific Gas Constant

Go Specific Gas Constant = [R]/Molar Mass

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, 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. 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?

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 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. Temperature is the degree or intensity of heat present in a substance or object, Molar Volume is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure, Gas Constant b adjusts for the volume occupied by the gas particles. It is a correction for finite molecular size and its value is the volume of one mole of the atoms or molecules & Gas Constant a, provides a correction for intermolecular forces and is a characteristic of the individual gas.

How to calculate 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 is calculated using Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2. To calculate Van der Waals Equation, you need Temperature (T), Molar Volume (V_m), Gas Constant b (b) & Gas Constant a (R_a). With our tool, you need to enter the respective value for Temperature, Molar Volume, Gas Constant b & Gas Constant a 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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