A white compound has been analyzed and found to
contain 43.6 wt. % phosphorous and 56.4 wt. % oxygen.
In a separate study it molecular weight has been
found to be 284 g/mol.
 
What is the molecular formula of this compound?

First determine the empirical weight of P2O5:
2 ´ 30.974 g/mol P = 61.948 g/mol P
5 ´ 15.999 g/mol O = 79.997 g/mol O
The empirical weight of P2O5 = the sum = 141.945 g/mol

Molecular weight ÷ Empirical weight = 284 g/mol ÷ 141.945 g/mol
                        = 2.001
and the molecular formula is twice the empirical formula and
 the molecular formula is P4O10.
Determination of the Molecular Formula