# The empirical formula of butadiene is C_2H_3. An experimental determination of the molar mass of butadiene yields the value of 54 g/mol. What is the molecular formula of butadiene?

Jan 15, 2016

${C}_{4} {H}_{6}$

#### Explanation:

The molecular formula is always a mulitple of the empirical formula; of course the multiple may be one if the molecular formula is the same as the empirical formula.

Given that $\text{MF}$ $=$ ${\left(\text{EF}\right)}_{n}$, we simply solve for $n$ using the sum of the constituent atomic masses:

$n \times \left(2 \times 12.011 + 3 \times 1.00794\right) \cdot g \cdot m o {l}^{-} 1$ $=$ $54$ $g \cdot m o {l}^{-} 1$

Clearly $n$ $=$ $2$.

Molecular formula $=$ $2 \times {C}_{2} {H}_{3}$ $=$ C_29H_37??