Relative masses of atoms and molecules
Relative masses
- The relative atomic mass ($A_r$) of an element is the average mass of its atoms, compared to $\tfrac{1}{12}$ of a $^{12}\text{C}$ atom.
- The relative molecular mass ($M_r$) is the sum of the $A_r$ of every atom in the molecule. (For ionic compounds we call it the relative formula mass.)
$$M_r(\text{H}_2\text{O}) = (2 \times 1) + 16 = 18$$
Practice
Calculate the Mr of carbon dioxide, CO2 (Ar: C = 12, O = 16).
Mr = 12 + (2 × 16) = 12 + 32 = 44.
Practice
The relative molecular mass (Mr) is:
Add up the Ar of every atom in the formula to get the Mr.
Reacting masses by proportion
- You can sometimes find a mass by simple proportion.
- If 24 g of magnesium makes 40 g of magnesium oxide, then 12 g (half) makes 20 g.
Practice
If 24 g of magnesium makes 40 g of magnesium oxide, how many grams of oxide does 12 g of magnesium make?
Half the magnesium makes half the oxide: 40 ÷ 2 = 20 g.
You've got it
Key idea
- $A_r$ = average atom mass; $M_r$ = sum of the $A_r$ in the formula
- $M_r(\text{H}_2\text{O}) = 18$
- reacting masses scale by simple proportion (half the metal → half the product)