Stoichiometry Examples- Practice Problems and Solutions
What Stoichiometry Actually Is
Stoichiometry is just math applied to chemical reactions. You take a balanced equation and use it to calculate how much of one substance you need or will get from another. That's it. No magic, no hidden tricks—just proportions and arithmetic.
Most students struggle because they skip the fundamentals and jump straight into complex problems. If you don't know what a mole is or can't balance an equation in your sleep, stop here. Go back. Learn those first.
The Core Concepts You Need
Before touching any problem, these must be automatic:
- Mole: 6.022 × 10²³ particles. It's a counting unit, like a dozen.
- Molar mass: Grams per mole. You get this from the periodic table—add up the atomic masses.
- Balanced equation: Same number of atoms on both sides. No exceptions.
- Mole ratio: The coefficients in your balanced equation. These are your conversion factors.
If any of these make you pause, you're not ready for the problems below. Go study first.
The Basic Process: How to Actually Solve These
Every stoichiometry problem follows the same roadmap:
- Balance your equation (if it isn't already)
- Convert what you're given to moles
- Use the mole ratio to find moles of the unknown
- Convert back to grams, liters, or whatever units you need
That's the entire process. Memorize it. This is your algorithm.
Example 1: Mass-to-Mass Conversion
Problem: How many grams of water form when 4 grams of hydrogen react with excess oxygen?
Step 1: Write and balance the equation
2H₂ + O₂ → 2H₂O
Step 2: Convert grams of H₂ to moles
4 g H₂ × (1 mol H₂ / 2 g H₂) = 2 mol H₂
Step 3: Use mole ratio to find moles of H₂O
2 mol H₂ × (2 mol H₂O / 2 mol H₂) = 2 mol H₂O
Step 4: Convert moles of H₂O to grams
2 mol H₂O × (18 g H₂O / 1 mol H₂O) = 36 g H₂O
That's your answer. Each step follows the dimensional analysis method—units cancel until you're left with what you need.
Example 2: Limiting Reagent Problem
Limiting reagents trip people up. Here's how to handle them.
Problem: 10 g of Fe reacts with 8 g of S. How much FeS forms?
Step 1: Balance the equation
Fe + S → FeS
Step 2: Calculate how much product each reactant could make
For Fe: 10 g × (1 mol / 56 g) × (1 mol FeS / 1 mol Fe) × (88 g / 1 mol) = 15.7 g FeS
For S: 8 g × (1 mol / 32 g) × (1 mol FeS / 1 mol S) × (88 g / 1 mol) = 22 g FeS
Step 3: The smaller answer wins
Fe makes less product, so Fe is the limiting reagent. Your answer is 15.7 g FeS.
Never add the answers together. The limiting reagent determines the maximum product.
Example 3: Volume-Based Calculation (Gas Stoichiometry)
At standard temperature and pressure, 1 mole of any gas occupies 22.4 L.
Problem: How many liters of CO₂ form when 5 L of propane (C₃H₈) burn completely?
Step 1: Balance the combustion equation
C₃H₈ + 5O₂ → 3CO₂ + 4H₂O
Step 2: Apply the mole ratio
5 L C₃H₈ × (3 L CO₂ / 1 L C₃H₈) = 15 L CO₂
When gases are at the same temperature and pressure, the volume ratio equals the mole ratio. You don't even need to convert to moles first.
Percent Yield: When Reactions Don't Go to Completion
Theoretical yield is what the math says should happen. Actual yield is what you actually get in the lab. Percent yield compares them.
Formula: (Actual / Theoretical) × 100
Example: You calculate 50 g of product should form. You actually get 35 g. Percent yield = (35/50) × 100 = 70%.
If your percent yield is over 100%, you did something wrong. Contamination, measurement errors, or incomplete drying. It happens. Check your work.
Common Mistakes That Will Sink You
- Forgetting to balance the equation. This invalidates everything that follows.
- Using atomic mass wrong. Round to whole numbers for simplicity, but be consistent.
- Forgetting to convert to moles first. You can't do stoichiometry in grams directly.
- Using the wrong mole ratio. Check your coefficients twice.
- Not identifying the limiting reagent. If you have amounts of multiple reactants, you must check which one runs out first.
Practice Problems
Try these. No peeking at solutions until you've tried.
Problem 1: How many grams of NaCl form when 23 g of Na react with excess Cl₂?
2Na + Cl₂ → 2NaCl
Problem 2: 15 g of N₂ reacts with 15 g of H₂. Which reagent limits the reaction? How much NH₃ forms?
N₂ + 3H₂ → 2NH₃
Problem 3: If 40 g of a product has a percent yield of 75%, what was the theoretical yield?
Solutions to Practice Problems
Solution 1:
23 g Na × (1 mol / 23 g) × (2 mol NaCl / 2 mol Na) × (58.5 g / 1 mol) = 58.5 g NaCl
Solution 2:
N₂: 15 g × (1 mol / 28 g) × (2 mol NH₃ / 1 mol N₂) × (17 g / 1 mol) = 18.2 g NH₃
H₂: 15 g × (1 mol / 2 g) × (2 mol NH₃ / 3 mol H₂) × (17 g / 1 mol) = 8.5 g NH₃
H₂ is limiting. Answer: 8.5 g NH₃
Solution 3:
40 = (Actual / Theoretical) × 100
Theoretical = 40 / 0.75 = 53.3 g
Quick Reference: Stoichiometry at a Glance
| Given | First Step | Second Step |
|---|---|---|
| Grams | Divide by molar mass → moles | Apply mole ratio |
| Moles | Apply mole ratio directly | Multiply by molar mass if grams needed |
| Liters (gas) | Divide by 22.4 L/mol → moles | Apply mole ratio |
| Molecules | Divide by 6.022×10²³ → moles | Apply mole ratio |
The Bottom Line
Stoichiometry is procedural. Memorize the steps. Practice until you can do them without thinking. Use dimensional analysis—it's foolproof if you set it up right.
Get the basics down: moles, molar mass, balanced equations, mole ratios. Everything else builds from there. Skip the fundamentals and you'll keep failing the same way.
Do problems. More than you think you need. That's the only way this stuff sticks.