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Kinetic-Molecular Theory Explains Graham's Law

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Since effusion rate tracks molecular speed and lighter molecules move faster at equal kinetic energy, kinetic-molecular theory derives Graham's inverse-square-root relationship directly.

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At identical temperature, kinetic-molecular theory predicts helium's higher root-mean-square speed accounts for exactly the same rate advantage Graham's law describes empirically.

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This derivation shows Graham's law follows from the same postulates as the other gas laws, not a separate coincidence.