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2 March, 09:36

Solid white phosphorus melts and then vaporizes at high temperature. gaseous white phosphorus effuses at a rate that is 0.404 times that of neon in the same apparatus under the same conditions. how many atoms are in a molecule of gaseous white phosphorus?

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  1. 2 March, 09:39
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    Rate of effusion of phosphorus / rate of effusion of neon = 0,404.

    rate of effusion of neon = 1/√M (Ne).

    rate of effusion of neon = 1/√20,18 = 0,222.

    rate of effusion of phosphorus = rate of effusion of neon · 0,404.

    rate of effusion of phosphorus = 0,222 · 0,404 = 0,0897.

    rate of effusion of phosphorus = 1/√M (Pₓ).

    √M (Pₓ) = 1 : 0,0897 = 11,14.

    M (Pₓ) = (11,15) ² = 124.

    N (P) = 124 g/mol : 31 g/mol = 4.

    There are 4 atoms in a molecule of gaseous white phosphorus.
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