Considering the definition of empirical and molecular formula, the molecular formula for the compound is P₄O₁₀.
The empirical formula is the simplest expression to represent a chemical compound, which indicates the elements that are present and the minimum proportion in whole numbers that exist between its atoms, that is, the subscripts of chemical formulas are reduced to the most integers. small as possible.
The molecular formula is the actual formula of the molecule it indicates the types of atoms and the number of each type that participate in the formation of the molecule.
The empirical and molecular formula is related by the expression:
Molecular formula = (Empirical formula)ₙ
where n is the ratio between the molecular weight of the molecular formula and the molecular weight of the empirical formula and it represents the multiplier that you must use to determine the molecular formula.
In this case, you know:
The mass for empirical formula of P₂O₅:
P₂O₅ = 2×30.97 g/mol + 5×16.00 g/mol = 141.94 g/mol
So, the value "n" is calculated as:
n= mass of molecular formula÷ mass of empirica formula
n=283.88 g/mol÷ 141.94 g/mol
n= 2
Then, the molecular formula is calculated as:
Molecular formula = (P₂O₅)₂
Molecular formula= P₄O₁₀
Finally, the molecular formula for the compound is P₄O₁₀.
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