# How do you solve a stoichiometry problem?

Feb 27, 2014

You use a series of conversion factors to get from the units of the given substance to the units of the wanted substance.

#### Explanation:

There are four steps in solving a stoichiometry problem:

1. Write the balanced chemical equation.
2. Convert the units of the given substance (A) to moles.
3. Use the mole ratio to calculate the moles of wanted substance (B).
4. Convert moles of the wanted substance to the desired units.

The flow chart below summarizes the process.

(From MillingsChem)

NOTE: The mole ratio of A to B is central to all the calculations.

EXAMPLE:

What mass of chlorine does the decomposition of 64.0 g of AuCl₃ produce?

Solution:

1. Write the balanced chemical equation.

${\text{2AuCl"_3 → "2Au" + "3Cl}}_{2}$

2. Convert grams of ${\text{AuCl}}_{3}$ to moles of ${\text{AuCl}}_{3}$.

64.0 color(red)(cancel(color(black)("g AuCl"_3))) × ("1 mol AuCl"_3)/(303.3 color(red)(cancel(color(black)("g AuCl"_3)))) = "0.211 mol AuCl"_3

3. Use the molar ratio to convert moles of ${\text{AuCl}}_{3}$ to moles of ${\text{Cl}}_{2}$.

0.211 color(red)(cancel(color(black)("mol AuCl"_3))) × ("3 mol Cl"_2)/(2 color(red)(cancel(color(black)("mol AuCl"_3)))) = "0.317 mol Cl"_2

4. Convert moles of ${\text{Cl}}_{2}$ to grams of ${\text{Cl}}_{2}$.

0.317 color(red)(cancel(color(black)("mol Cl"_2))) × ("70.91 g Cl"_2)/(1 color(red)(cancel(color(black)("mol Cl"_2)))) = "22.4 g Cl"_2