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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Chemistry

Rudy Booker

8 November, 03:11

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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Santiago Finley · Answer 1

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.