Van der Waals Equation

📊 advanced

$$\left(P + a\frac{n^2}{V^2}\right)(V - nb) = nRT$$

An equation of state for real gases that accounts for molecular size and intermolecular forces.

Variables & Units

$a$

Attraction parameter

Unit: $L^2 \cdot atm / mol^2$

$b$

Excluded volume parameter

Unit: $L/mol$

$P, V, n, T$

Pressure, Volume, Moles, Temperature

Unit: SI Units

Key Information

📐 Derived From

Correction of the Ideal Gas Law for non-ideal behavior.

💡 Example

Calculating the pressure of $CO_2$ at high density.

🔧 Applications

Chemical engineering and high-pressure physics.

⚠️ Constraints

Parameters $a$ and $b$ are specific to each gas.

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