# What is the percentage by mass of ammonium nitrate?

Sep 5, 2016

This is the percentage by mass of a component of a material with respect to the molar mass of that material.

#### Explanation:

The molar mass of $\text{ammonium nitrate}$ is $80.04 \cdot g \cdot m o {l}^{-} 1$.

$\text{% nitrogen}$ $=$ "Mass of nitrogen"/"Mass of ammonium nitrate"xx100%

Now, using a mole of ammonium nitrate:

$\text{% nitrogen}$ $=$ (2xx14.10*cancelg*cancel(mol^-1))/(80.04*cancelg*cancel(mol^-1))xx100% $=$ 35.2%

$\text{% oxygen}$ $=$ (3xx16.00*cancelg*cancel(mol^-1))/(80.04*cancelg*cancel(mol^-1))xx100% $=$ 60.0%

And of course %" hydrogen" $=$ 100%-%N-%O. Why?