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For K-12 Students · Maxwell-Boltzmann

Maxwell-Boltzmann for a crystallization

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a crystallization live below — adjust the inputs and watch it respond, right in your browser.

Maxwell–Boltzmann DistributionLive

molecular speeds in a gas

Controls

Gas molecules do not all move at one speed — they spread into this distribution. Heat the gas or lighten the molecule and the curve broadens and shifts faster.

Presets

Temperature (K)

Molar mass (g/mol)

▶ Run in Python

Data Inspector

Most probable0 m/s

Average0 m/s

RMS0 m/s

Governing equation

f (v) = 4 π (\frac{m}{2 π k T})^{3/2} v^{2} e^{- m v^{2} /2 k T}, v_{p} = \frac{2 k T}{m} = 0 m/s at T = 300 K

Reading this result: The peak (v_mp 0 m/s) sits below the average and RMS speeds because the long high-speed tail pulls those means upward.

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Maxwell-Boltzmann for a crystallization" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.