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For Students · Van der Waals Gas

Van der Waals Gas for a diffusion

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a diffusion live below — adjust the inputs and watch it respond, right in your browser.

Van der Waals Real GasLive

where the ideal gas law breaks

Controls

Presets

Attraction a (L²·bar/mol²)

Volume b (L/mol)

Temperature (K)

Real gases deviate from PV = nRT because molecules attract each other (the a term) and occupy volume (the b term). Van der Waals adds both corrections, and below the critical temperature the isotherm even loops — predicting condensation. Educational tool.

▶ Run in Python

Data Inspector

P at V=0.3 L (vdW)86.4 bar

P at V=0.3 L (ideal)88.7 bar

Deviation-3%

Governing equation

(P + \frac{a}{V ^{2}}) (V - b) = R T, a = 1.4, b = 0.039, R T = 26.60

Reading this result: At 320 K the a and b corrections nearly cancel, so the real gas tracks the ideal-gas law to within 3%.

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Frequently asked questions

Is this good for students?: Yes — this version of "Van der Waals Gas for a diffusion" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.