Answer :
The chemical formula for this compound is N₅ Cl₁₀ P₅
How to find the chemical formula of a compound?
First, find out how many grams of each element are in 1 mole of the compound. We can do this because we have the molar mass of the compound and the mass percent of each element.
- 579.36 x 26.73% = 155 phosphorus/mol of Compound
- 579.36 x 12.09% = 70 nitrogen/mol of Compound
- 579.36 x 61.18% = 354 Chlorin/mol of Compound
Now that we know the number of grams of each element per mole of the compound, we can use the molar mass of each element to find the number of moles of each element per mole of the compound.
- 155 P x (1mol P/31g) = About 5 moles of Phosphorus.
- 70 N x (1mol N/14g) = About 5 moles of Nitrogen.
- 354 Cl x (1mol/35g) = Approx 10 moles of Chlorine.
Therefore, the chemical formula for this compound is N₅ Cl₁₀ P₅
We can double-check by making sure that the compound with this formula has the same molar mass as the one given in the problem
(5*14) + (35,45*10) + (31*5) = 70+354,5+155 = 579,5
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