AP Chemistry · Unit 4 · Reviewed representative lesson
Stoichiometry
Stoichiometry uses the coefficients of a balanced chemical equation as ratios between amounts in moles. The coefficients compare reacting entities; they are not direct mass ratios.
Definition
A stoichiometric coefficient states the relative number of entities and therefore the relative number of moles participating in the modeled reaction. Conservation of each element requires the equation to be balanced before any mole ratio is used.
Core Relationship
For \(aA+bB\rightarrow cC\), the amount relation is
The relation applies to reaction progress. If more than one reactant amount is given, determine which reactant limits that progress.
Worked Example
Question: Hydrogen reacts with oxygen according to \(2\mathrm{H_2}+\mathrm{O_2}\rightarrow2\mathrm{H_2O}\). With excess hydrogen, how many moles of water can form from \(3.0\,\mathrm{mol}\) of oxygen?
Answer: \(6.0\,\mathrm{mol}\) of water can form because the balanced equation gives a 1:2 oxygen-to-water mole ratio.
Why This Method Works
The balanced equation counts conserved atoms while describing reaction events. Converting the known amount to moles makes that particle-level ratio usable; any final conversion to grams occurs only after the mole ratio.
Common Mistakes
- Using coefficients before balancing the equation.
- Treating coefficients as gram ratios.
- Ignoring a second reactant that may be limiting.
- Rounding intermediate results so early that the final answer shifts.
Key Takeaways
- Balance first, convert to moles, apply one mole ratio, then convert to the requested unit.
- The limiting reactant sets the maximum product amount.
- Units should cancel at every conversion step.
Use the quiz and practice tabs to extend the mole-ratio workflow to mass, solution, and limiting-reactant questions.
Official curriculum reference: College Board AP Chemistry course page. The explanation and worked example are independently written for this study site.