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30 August, 22:33

An unknown gas effuses 0.5 times faster than hydrogen gas (H2). What is the molecular mass of the gas?

1.008 g/mol

4.064 g/mol

2.0 g. mol

8 g/mol

+2
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  1. 30 August, 23:51
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    Rate of Effusion of Unknown gas = rX = 0.5

    Rate of Effusion of Hydrogen = rH = 1

    M. mass of Hydrogen = mH = 2 g/mol

    M. mass of Unknown gas = mX = ?

    Formula used:

    rH / rX = √mX / mH

    taking square on both sides,

    r²H / r²X = mX / mH

    Solving for mX,

    mX = (r²H : r²X) * mH

    Putting values,

    mX = [1² : (0.5) ²] * 2 g/mol

    mX = (1 : 0.25) * 2 g/mol

    mX = 4 * 2 g/mol

    mX = 8 g/mol

    Result:

    Molecular Mass of Unknown gas is 8 g/mol.
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