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Van der Waals Equation Formula

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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. Check FAQs

p = [R] \cdot \frac{T}{V m - b} - \frac{R a}{{V m}^{2}}

p - Van der Waals Equation?T - Temperature?V_m - Molar Volume?b - Gas Constant b?R_a - Gas Constant a?[R] - Universal gas constant?

Van der Waals Equation Example

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Here is how the Van der Waals Equation equation looks like with Values.

Here is how the Van der Waals Equation equation looks like with Units.

Here is how the Van der Waals Equation equation looks like.

22.0848 = 8.3145 \cdot \frac{85}{32 - 3.1E-5} - \frac{0.547}{32^{2}}

22.0848Pa = 8.3145 \cdot \frac{85K}{32m³/mol - 3.1E-5m³/mol} - \frac{0.547J/kg*K}{{32m³/mol}^{2}}

22.0848 = 8.3145 \cdot \frac{85}{32 - 3.1E-5} - \frac{0.547}{32^{2}}

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Van der Waals Equation Solution

Follow our step by step solution on how to calculate Van der Waals Equation?

FIRST Step Consider the formula

p = [R] \cdot \frac{T}{V m - b} - \frac{R a}{{V m}^{2}}

Next Step Substitute values of Variables

∴

p = [R] \cdot \frac{85K}{32m³/mol - 3.1E-5m³/mol} - \frac{0.547J/kg*K}{{32m³/mol}^{2}}

Next Step Substitute values of Constants

∴

p = 8.3145 \cdot \frac{85K}{32m³/mol - 3.1E-5m³/mol} - \frac{0.547J/kg*K}{{32m³/mol}^{2}}

Next Step Prepare to Evaluate

∴

p = 8.3145 \cdot \frac{85}{32 - 3.1E-5} - \frac{0.547}{32^{2}}

Next Step Evaluate

∴

p = 22.0847782136487Pa

LAST Step Rounding Answer

∴

p = 22.0848Pa

Van der Waals Equation Formula Elements

Variables

Constants

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 an inter-particle attractive force.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Van der Waals Equation

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Molar Volume

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.

Symbol: V_m

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Molar Volume

Gas Constant b

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.

Symbol: b

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value should be greater than 0.

Formulas to find Gas Constant b

Gas Constant a

Gas Constant a, provides a correction for intermolecular forces and is a characteristic of the individual gas.

Symbol: R_a

Measurement: Specific EntropyUnit: J/kg*K

Note: Value should be greater than 0.

Formulas to find Gas Constant a

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other formulas in Factors of Thermodynamics category

Go Absolute Humidity

AH = \frac{W}{V}

Go Average Speed of Gases

V avg = \sqrt{\frac{8 \cdot [R] \cdot T ga}{π \cdot M molar}}

Go Degree of Freedom given Equipartition Energy

F = 2 \cdot \frac{K}{[BoltZ] \cdot T gb}

Go Molar Mass of Gas given Average Speed of Gas

M molar = \frac{8 \cdot [R] \cdot T ga}{π \cdot {V avg}^{2}}

How to Evaluate Van der Waals Equation?

Van der Waals Equation evaluator uses Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2 to evaluate 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 evaluate Van der Waals Equation using this online evaluator? To use this online evaluator 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.

FAQs on Van der Waals Equation

What is the formula to find Van der Waals Equation?

The formula of Van der Waals Equation is expressed as Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2. Here is an example- 22.08478 = [R]*85/(32-3.052E-05)-0.547/32^2.

How to calculate Van der Waals Equation?

With Temperature (T), Molar Volume (V_m), Gas Constant b (b) & Gas Constant a (R_a) we can find Van der Waals Equation using the formula - Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2. This formula also uses Universal gas constant .

Can the Van der Waals Equation be negative?

Yes, the Van der Waals Equation, measured in Pressure can be negative.

Which unit is used to measure Van der Waals Equation?

Van der Waals Equation is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Van der Waals Equation can be measured.

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Van der Waals Equation Formula

Van der Waals Equation Example

Van der Waals Equation Solution

Van der Waals Equation Formula Elements

Other formulas in Factors of Thermodynamics category

How to Evaluate Van der Waals Equation?

FAQs on Van der Waals Equation

Variable Name