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28 January, 21:03

If a balloon is filled with a mixture of helium and oxygen, which gas will escape faster? Why?

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  1. 28 January, 23:37
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    The rate of leakage will be higher for helium; its molecules move about 3 times faster than oxygen's

    Explanation:

    Step 1: Data given

    Molar mass helium = 4.0 g/mol

    Molar mass O2 = 32 g/mol

    Step 2: Graham's law

    Graham's Law of Effusion states that the rate of effusion of a gas is inversely proportional to the square root of the molecular mass : 1 / (Mr) ^0.5

    Rate of escape for He = 1 / (4.0) ^0.5 = 0.5

    Rate of escape for O2 = 1 / (32) ^0.5 = 0.177

    The rate of leakage will be higher for helium; its molecules move about 3 times faster than oxygen's
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