# The ratio of carbon atoms to hydrogen atoms to oxygen atoms in a molecule of dicyclohexyl maleate is 4 to 6 to 1. What is its molecular formula if its molar mass is 280 g?

${C}_{16} {H}_{24} {O}_{4}$.....
We have been given an empirical formula of ${C}_{4} {H}_{6} O$. We know that the molecular formula is always a whole number multiple of the empirical formula. Thus $\left\{4 \times 12.01 + 6 \times 1.01 + 16.0\right\} \times n = 280 \cdot g \cdot m o {l}^{-} 1$. My arithmetic gives $n = 4$. And thus the molecular formula is ${C}_{16} {H}_{24} {O}_{4}$.