- Empirical Formula: $C_4H_9$
- Molecular Mass: 114 grams/mole
Step 1: Determine the empirical formula mass
The empirical formula mass is the sum of the atomic masses of the elements in the empirical formula.
$C_4H_9$
4 (12.01 g mol^-1) + 9 (1.01 g mol^-1)
$=(4 × 12.01) (9 × 1.01) g/mol$
=48.04 + 9.09 g/mol
Empirical Formula Mass = 57.13 g/mole
Step 2: Calculate the molecular formula
The molecular formula is a multiple of the empirical formula.
$$ n=\frac{\text{Molecular mass}}{\text{Empirical formula mass}}$$
$$ =\frac{\text{114 g/mole}}{\text{57.13 g/mole}}=2$$
So the molecular formula is twice the empirical formula:
$$ (C_4H_9) *2 = C_8H_{18}$$
Molecular Formula: \(C_8H_{18}\)