Van der Waals Equation

The van der Waals equation is a thermodynamic equation of state that is based on the theory that fluids are composed of particles with nonzero volumes, and subject to a (not necessarily pairwise) interparticle attractive force.

The sum of the van der Waals constant a divided by the volume squared and the pressure times the difference of the volume and the van der Waals constant b equals the molar gas constant times the temperature.

Formula

(QuantityVariable["P", "Pressure"] + QuantityVariable["a", "VanDerWaalsConstantA"]/QuantityVariable["V", "MolarVolume"]^2)*(-QuantityVariable["b", "VanDerWaalsConstantB"] + QuantityVariable["V", "MolarVolume"]) == Quantity[1, "MolarGasConstant"]*QuantityVariable["T", "Temperature"]

symbol	description	physical quantity
P	pressure	"Pressure"
a	van der Waals constant a	"VanDerWaalsConstantA"
V	molar volume	"MolarVolume"
b	van der Waals constant b	"VanDerWaalsConstantB"
T	temperature	"Temperature"

Forms

Examples

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Use some values:

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$FormulaData[ ResourceObject[ "Van der Waals Equation"], {QuantityVariable[ "a","VanDerWaalsConstantA"] -> Quantity[5.46`, ("Bars" ("Liters")^2)/("Moles")^2], QuantityVariable["b","VanDerWaalsConstantB"] -> Quantity[0.0305`, ("Liters")/("Moles")], QuantityVariable["T","Temperature"] -> Quantity[298.15`, "Kelvins"]}]$

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Van der Waals Equation

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