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4 January, 10:38

It rate of effusion of a particular gas was measured and found to be 24.0 ml/min. under identical conditions the rate of effusion of methane gas was measured and found to be 47.8 ml/min. what is the molar mass of the unknown gas?

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  1. 4 January, 11:38
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    The molar mass of unknown gas is 63.5 g/mol

    calculation

    let the unknown gas be represent by letter Y

    The rate of effusion of a gas varies inversely with square root of molar mass

    that is R (CH4) / R (Y) = √[ (M (Y) / M (CH4) ]

    = 47.8 ml/min/24.0ml/min = √[ (Y/16g/mol) ]

    square both side to remove square root sign

    =47.8²ml/min / 24²ml/min = Y/16 g/mol

    =2284.84ml/min/576ml/min=Y/16g/mol

    multiply both side by 16

    y = 63.5 g/mol
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