Molecular & Empirical Formulas

This lesson covers:

  1. What a 'molecular formula' is
  2. What an 'empirical formula' is 

Molecular vs empirical formulae

The molecular formula of a substance shows the actual number of atoms of each element present in a compound or molecule.

For example, the molecular formula for glucose is C6H12O6, which means that a glucose molecule contains: 6 carbon atoms, 12 hydrogen atoms, and 6 oxygen atoms

Illustration explaining the difference between molecular and empirical formulae.

The empirical formula of a substance is the simplest, whole number ratio of atoms of each element in a compound. This means that it doesn't tell you exactly how many atoms there are, just the ratio of the atoms of each element. 

For example, the empirical formula for glucose is CH2O, which means that the ratio of carbon : hydrogen : oxygen is 1 : 2 : 1. Or in other words, for every 1 carbon atom, there are 2 hydrogen atoms and 1 oxygen atom

Some examples of substances molecular formulas and empirical formulas 


Comparison chart of molecular formulas and empirical formulas for various substances including CO2, N2O4, P4O10, and C6H18O3.

How to find the empirical formula from a molecular formula

To find the empirical formula from the molecular formula, all you do is find the simplest whole number ratio of the atoms in the compound.


As an example, let's find the empirical formula of ethane, C2H6

1Looking at the molecular formula of ethane (C2H6), we can see that the ratio of C : H atoms is 2 : 6

2To get the empirical formula, we need to simplify this ratio as much as possible. You can simplify the ratio 2 : 6 by dividing both sides by 2 - which gives you : 3

3This 1 : 3 ratio means the empirical formula for ethane is 1 carbon atom for every 3 hydrogen atoms.

4So the empirical formula for ethane is CH3

How to find the molecular formula from the empirical formula and Mr


Sometimes, you may be given the empirical formula and Mr of a compound, then asked to find the molecular formula


To see how you'd do this, let's work through the following example:

'An unknown compound has an empirical formula of CH3, and an Mr of 30. Find the molecular formula of the compound.'

An unknown compound has an empirical formula of CH2O, and an Mr of 180.


Find the molecular formula of the compound.

C8H10O8

C8H12O4

C6H12O6

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1

How to find the empirical formula from masses or percentages:


Sometimes, you'll be given the masses (or percentages) of the different elements in a compound and asked to find the empirical formula.


To see how you'd do this, let's work through the following example:


'A compound is found to contain 50.05% sulfur and 49.95% oxygen by weight. What is the empirical formula for this compound?'


What is the empirical formula of a compound that contains 46.3% lithium and 53.7% oxygen?


(You may need a periodic table)

Li2O

Li2O2

Li2O4

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1

What is the empirical formula of a compound that contains 15.9% boron and 84.1% fluorine?


B2F3

BF3

B3F

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1

Phosphorus reacts with oxygen to give a compound that is 43.7% phosphorus and 56.4% oxygen. What is the empirical formula of the compound?


P2O5

P1O2.5

PO

0

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1