Understand Molar Mass: Find out the molar mass of the empirical formula by summing the atomic masses of all the elements present.
Analyze Elemental Composition: Determine the empirical formula's elemental composition as a percentage.
Calculate Molecular Weight: Acquire information about the molecular weight (or molar mass) of the compound. This is usually provided experimentally through techniques such as mass spectrometry.
Calculate Multiplier: Divide the molecular weight by the empirical formula's molar mass. The result is a whole number, which is the multiplier (n).
Multiply Subscripts: Multiply all subscripts in the empirical formula by n to obtain the molecular formula.
Verify the Molecular Weight: Verify that the molecular weight of the molecular formula matches the experimentally obtained molecular weight.
Here's an example using ethylene glycol to illustrate these steps:
Empirical formula: CH₂O
Molar mass of empirical formula (CH₂O):
(1 x 12.01 g/mol C) + (2 x 1.01 g/mol H) + (1 x 16.00 g/mol O) = 30.03 g/mol
Experimental molecular weight of ethylene glycol: 62.07 g/mol
Multiplier (n):
62.07 g/mol / 30.03 g/mol = 2
Molecular formula:
C₂H₄O₂
Molecular weight of molecular formula (C₂H₄O₂):
(2 x 12.01 g/mol C) + (4 x 1.01 g/mol H) + (2 x 16.00 g/mol O) = 62.07 g/mol
Thus, the molecular formula for ethylene glycol is C₂H₄O₂, which matches the experimental molecular weight.