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Empirical and Molecular Formula

Simple Explanation

An empirical formula shows the simplest whole-number ratio of atoms in a compound. A molecular formula shows the actual number of atoms in one molecule β€” it can be the same as the empirical formula, or a whole-number multiple of it.

Why Do We Need It?

Knowing the ratio of atoms lets chemists figure out exactly what a compound is made of, even before they know its full molecular structure.

See It

Water, Hβ‚‚O
OHHWater β€” empirical formula = molecular formula (Hβ‚‚O)

A ball-and-stick diagram of a water molecule, showing one oxygen atom bonded to two hydrogen atoms

Worked Example

Find an empirical formula from a molecular formula

A compound has the molecular formula C₆H₁₂O₆ (glucose). What is its empirical formula?

    Why Does This Work?

    Dividing every subscript by their highest common factor keeps the same ratio between elements while reducing it to its simplest whole-number form β€” exactly what 'empirical formula' means.

    Real-Life Example

    Identifying an unknown compound

    A chemist burns an unknown sample and measures the masses of COβ‚‚ and water produced.

    Working backwards from those masses to a mole ratio, and then to an empirical formula, is a standard real technique for identifying an unknown organic compound.

    Practice

    A compound has the molecular formula Cβ‚‚Hβ‚„. What is its empirical formula?

    Medium

    Common mistake

    Assuming the empirical and molecular formula are always different β€” sometimes, like with water (Hβ‚‚O), they're already identical because the ratio is already in its simplest form.

    Quick Review

    • Empirical formula = simplest whole-number ratio of atoms.
    • Molecular formula = actual number of atoms in one molecule.
    • Divide the molecular formula's subscripts by their highest common factor to get the empirical formula.