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  • Graham's Law: Oxygen vs. Argon Effusion Rates Explained
    Molecular oxygen (O₂) will effuse faster than atomic argon (Ar) at the same temperature.

    Graham's Law of Effusion states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass.

    Molar Mass:

    * Oxygen (O₂): 32 g/mol

    * Argon (Ar): 40 g/mol

    Calculation:

    The ratio of effusion rates is given by:

    ```

    Rate of effusion of O₂ / Rate of effusion of Ar = √(Molar mass of Ar / Molar mass of O₂)

    = √(40 g/mol / 32 g/mol)

    = √1.25

    ≈ 1.12

    ```

    This means that molecular oxygen effuses approximately 1.12 times faster than atomic argon at the same temperature.

    Conclusion:

    Since oxygen has a lower molar mass than argon, it will effuse faster due to its higher average speed.

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