⚗️ Chemistry — Stoichiometry 3.5

Limiting Reactant & Percent Yield

Master the 3-step process: find the limiting reactant, calculate theoretical yield, then compare to actual yield for percent yield.

📋
Concepts You'll Need

This worksheet tests three connected skills. Every problem uses the same framework.

🗺️ The Mole Roadmap — Everything Goes Through Moles
Grams
(mass)
÷ molar mass
× molar mass
MOLES
(the bridge)
× mole ratio
(from eq.)
Grams
(product)

To go from grams of reactant → grams of product, always go through moles of reactant, apply the balanced equation's mole ratio, then convert back to grams.

The 5-Step Process for Every Problem

1

Convert to Moles

Convert both reactants from grams to moles using their molar masses.

2

Find Limiting Reactant

Divide each reactant's moles by its coefficient. The smaller value is limiting.

3

Mole Ratio to Product

From the limiting reactant, use the balanced equation's mole ratio to find moles of product.

4

Moles → Grams

Multiply moles of product by its molar mass to get the theoretical yield in grams.

5

Percent Yield

Divide actual yield by theoretical yield and multiply by 100%.

🔑 Key Formula: Percent Yield

% Yield = (actual ÷ theoretical) × 100%

Actual yield comes from the experiment. Theoretical yield comes from your calculations (step 4 above).

⚠️ Key Formula: Moles from Grams

moles = grams ÷ molar mass

Molar mass comes from adding up atomic masses on the periodic table (in g/mol).

⚖️
Finding the Limiting Reactant

The limiting reactant is the one that runs out first. It controls how much product you can actually make.

🍔 Think of It Like Making Sandwiches

If you have 10 slices of bread and 3 slices of cheese, you can only make 3 sandwiches — the cheese runs out first. The cheese is your limiting reactant. The extra bread is called "excess."

In chemistry, it's the same — one reactant always runs out before the others, and that limits how much product you can form.

🎯 The Math Method: "Moles ÷ Coefficient"

After converting both reactants to moles:

📖 Worked Example

Problem: 4 mol of hydrogen reacts with 3 mol of oxygen. Which is limiting? 2H₂ + O₂ → 2H₂O

1
Divide by coefficient
Hydrogen: 4 ÷ 2 = 2.0
Oxygen: 3 ÷ 1 = 3.0
2
Compare
2.0 < 3.0, so hydrogen is limiting. Oxygen is in excess.

✅ Quick Check

🎯
Calculating Theoretical Yield

Theoretical yield is the maximum amount of product you could make if everything went perfectly — based on the limiting reactant.

📐 The Process

Starting from the limiting reactant's moles:

mol LR × (mol product / mol LR) × (g/mol product) = theoretical yield in grams

📖 Worked Example

Problem: Using 2.0 mol hydrogen (limiting) in 2H₂ + O₂ → 2H₂O, how many grams of water are produced?

1
Apply mole ratio
From balanced equation: 2 mol H₂ makes 2 mol H₂O. Ratio = 2:2 = 1:1.2.0 mol H₂ × (2 mol H₂O / 2 mol H₂) = 2.0 mol H₂O
2
Convert to grams
Molar mass of H₂O = 18.02 g/mol2.0 mol H₂O × (18.02 g / 1 mol) = 36.0 g H₂O
Theoretical Yield
36.0 g H₂O

✅ Quick Check

📊
Calculating Percent Yield

Real reactions never reach 100% — some product is lost or never forms. Percent yield tells you how efficient the reaction was.

📐 The Formula

% Yield = (actual yield ÷ theoretical yield) × 100%

🚫 Common Mistakes

📖 Worked Example

Problem: The theoretical yield is 36.0 g of water, but you actually collected 29.5 g. What's the percent yield?

1
Plug into formula
% Yield = (29.5 g ÷ 36.0 g) × 100% = 81.9%
Percent Yield
81.9%

✅ Quick Check

🛠
Interactive Tools

Use these to check your work or practice the calculations.

⚖️ Limiting Reactant Solver

Input both reactants and the product, get the limiting reactant and theoretical yield.

Fill in the values and click "Calculate" to see the limiting reactant.

Reactant 1

Formula
Mass (g)
Molar mass
Coefficient

Reactant 2

Formula
Mass (g)
Molar mass
Coefficient

Product (for theoretical yield)

Formula
Molar mass
Coefficient

📊 Percent Yield Calculator

Enter actual and theoretical yields to calculate.
Actual yield (g)
Theoretical yield (g)

📚 Common Molar Masses Reference

The ones you'll need for this worksheet:

NaCl58.44 g/mol
F₂38.00 g/mol
NaF41.99 g/mol
Cl₂70.90 g/mol
P (phosphorus)30.97 g/mol
O₂32.00 g/mol
P₂O₅141.94 g/mol
N₂28.02 g/mol
H₂2.016 g/mol
NH₃17.03 g/mol
SiO₂60.09 g/mol
NaOH40.00 g/mol
Na₂SiO₃122.06 g/mol
H₂O18.02 g/mol
Br₂159.80 g/mol
PBr₃270.67 g/mol
📝
Practice — All 5 Worksheet Problems

Each problem has multiple parts. Fill in all parts, then "Check All Answers" for per-part feedback. "Show Solution" reveals full step-by-step work.

Quick Reference Cheat Sheet

🗺️ Mole Roadmap

Grams ÷ molar mass → Moles
Moles × mole ratio → Moles (new)
Moles × molar mass → Grams

Always go through moles.

⚖️ Limiting Reactant — 5 Steps

1. Convert both reactants to moles
2. Divide each by its coefficient
3. Smaller value = LR
4. Use LR's moles in mole ratio
5. Convert product moles to grams

📊 Percent Yield Formula

% Yield = (actual ÷ theoretical) × 100%

Actual = experimental result
Theoretical = what stoichiometry predicts
Should be ≤ 100%

📐 Core Molar Masses

H = 1.008 · C = 12.01
N = 14.01 · O = 16.00
F = 19.00 · Na = 22.99
P = 30.97 · S = 32.07
Cl = 35.45 · K = 39.10
Br = 79.90 · I = 126.90

🚫 Common Mistakes

• Using non-limiting reactant for yield
• Flipping % yield (theoretical/actual)
• Forgetting to divide moles by coefficient
• Rounding too early in the calculation
• Wrong mole ratio from unbalanced eq.

🔢 Key Constants

Avogadro's # = 6.022 × 10²³ /mol
Molar volume at STP = 22.4 L/mol
1 mol = 1 molar mass in grams

Balanced equation is non-negotiable!

🎬
Helpful Video Resources

Free videos from top educators.

Limiting Reactant Problems
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Percent Yield Explained
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Stoichiometry — CrashCourse Chemistry
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