Empirical & Molecular Formula (AQA A-Level Chemistry): Revision Notes
1.2.2 Empirical & Molecular Formula
Understanding the empirical and molecular formulas of compounds is essential for determining the composition and structure of molecules.
Empirical Formula
The empirical formula of a compound represents the simplest whole-number ratio of atoms of each element present. It does not necessarily show the actual number of atoms in a molecule but provides the simplest ratio.
Example: For glucose , the empirical formula is , which shows the simplest 1:2:1 ratio of carbon, hydrogen, and oxygen atoms.
Molecular Formula
The molecular formula provides the actual number of atoms of each element in a molecule. It is often a whole-number multiple of the empirical formula.
Example: For glucose , the molecular formula shows the actual number of atoms in the molecule. In this case, the molecular formula is 6 times the empirical formula .
Relationship Between Empirical and Molecular Formula
The molecular formula is always a whole-number multiple of the empirical formula. This relationship can be expressed as:
Where is the ratio of the molar mass of the compound to the molar mass of the empirical formula.
Calculating Empirical Formula
Example: How to calculate the empirical formula from given data
Step 1: Convert masses to moles:
Use the formula:
Where is the relative atomic mass of each element.
Step 2: Divide each mole value by the smallest number of moles:
This gives the simplest ratio.
Step 3: Adjust the ratio to whole numbers:
If the resulting ratio isn't a whole number, multiply all values by a suitable factor to obtain whole numbers (e.g., multiply by 2 if one value is 1.5).
Example: A compound contains 2.4 g of carbon and 0.4 g of hydrogen.
Calculate the empirical formula.
Step 1: Convert masses to moles:
Step 2: Divide each mole value by the smallest number of moles:
Step 3: Adjust the ratio to whole numbers:
The ratio is 1:2, so the empirical formula is CH₂.
Calculating Molecular Formula
To calculate the molecular formula, you need:
- The empirical formula.
- The molar mass () of the compound.
Steps:
- Find the molar mass of the empirical formula.
- Divide the molar mass of the molecular formula by the empirical formula mass to find .
- Multiply the empirical formula by to obtain the molecular formula.
Example: The empirical formula of a compound is and its molar mass is 180 g/mol
Determine the molecular formula.
Step 1: Find the molar mass of the empirical formula.
Molar mass of
Step 2: Divide the molar mass of the molecular formula by the empirical formula mass to find .
Find :
Step 3: Multiply the empirical formula by to obtain the molecular formula.
Multiply the empirical formula by 6: