StoichiometryLimiting reagentsContent level: Core 25 min

Limiting Reactant and Excess

What you'll be able to do: Identify which reactant runs out first, calculate the maximum product, and find how much of the excess reactant is left over.

Best after: Mole Ratios and Mass-to-Mass Stoichiometry

Introduction

Real reactions rarely start with exactly matching amounts. One reactant runs out first and stops the reaction, and everything that is left of the other simply sits there unreacted. Finding that limiting reactant is the step that turns a textbook ratio into a prediction about a real flask.

These are recommended, not required. You can start this lesson at any time.

Learning objectives

  • Determine the limiting reactant from given amounts of two or more reactants.
  • Calculate the theoretical yield of a product from the limiting reactant.
  • Calculate the mass of excess reactant remaining after the reaction.
  • Explain why adding more of the excess reactant does not increase the product.

Lesson

The sandwich analogy, and where it stops

With 10 slices of bread and 3 slices of cheese you can make 3 sandwiches, and 4 slices of bread are left over. The cheese limits. Chemistry works the same way, with one important difference: the recipe ratio comes from the coefficients, so it is rarely 1:1. Always check the ratio before you compare amounts.

Having fewer moles does not automatically make a reactant limiting. The coefficients decide.

The product-comparison method

The most reliable method has three steps. 1. Convert each reactant's mass to moles. 2. For each reactant separately, use its mole ratio to calculate how much of one chosen product it could make. 3. The reactant that yields the smaller amount is the limiting reactant, and that smaller amount is the theoretical yield. It works for any number of reactants and any coefficients.

nproduct from A = nA x (coeffproduct / coeffA)

The ratio-comparison shortcut

An alternative is to divide each reactant's moles by its own coefficient. The smallest quotient identifies the limiting reactant. This is faster, but it only tells you which reactant limits, you still have to run one full calculation for the yield.

nA / coeffA versus nB / coeffB

Use the shortcut to identify, then the full route to calculate.

How much excess is left

Excess left over = starting moles of excess minus moles consumed, where the consumed amount is found from the limiting reactant using the mole ratio between the two reactants. Convert back to grams at the end if the question asks for mass. A common check: the leftover can never exceed what you started with, and it can never be negative.

nexcess remaining = nexcess initial - nlimiting x (coeffexcess / coefflimiting)

What excess actually means

Saying a reactant is in excess is a statement about the amounts supplied, not about the substance itself. The same reactant can be limiting in one experiment and in excess in another. Adding more of the excess reactant does not increase the yield, because the limiting reactant is already gone.

Excess reactant is inventory left in the flask, not wasted mass. It still counts in the total mass balance.

Error analysis (Challenge extension)

If a calculated theoretical yield is smaller than a measured actual yield, something is wrong: usually an unbalanced equation, the wrong limiting reactant, or an impure product that still contains solvent or water. Treat an impossible percent yield above 100 % as a diagnostic signal rather than a rounding issue. This kind of reasoning appears in the next lesson.

Next: Percent Yield

Key ideas

Definition
Limiting reactant

The reactant that is fully consumed first, capping how much product can form.

Definition
Excess reactant

Any reactant that remains after the limiting reactant has been used up.

Definition
Theoretical yield

The maximum amount of product possible, calculated from the limiting reactant assuming complete reaction.

Rule
Compare products, not reactants

Comparing raw moles of reactants is only valid when their coefficients are equal. Comparing the product each could make is always valid.

Rule
More excess does not help

Once the limiting reactant is gone the reaction stops, no matter how much of the other reactant remains.

Equation
Product possible from each reactant

nP(from A) = (mA / MA) × (coeffP / coeffA)

  • nP(from A) = moles of product reactant A alone could make
  • mA, MA = mass and molar mass of reactant A
  • use when = amounts of two or more reactants are given
  • limits = repeat for every reactant, the smallest result governs
Equation
Excess reactant remaining

nleft = nexcess initial - nlimiting x (coeffexcess / coefflimiting)

  • nleft = moles of excess reactant remaining after reaction
  • nlimiting = moles of the limiting reactant, all of which react
  • use when = the question asks how much is left over
  • limits = the answer must be positive and no larger than the starting amount

Worked examples

Worked example 1

N + 3 H2 NH. You have 2.0 mol N and 3.0 mol H. Which reactant is limiting, and how much NH forms?

Try it first: Predict which is limiting before calculating. Was the reactant with fewer moles the one that limited?

    0 of 4 steps revealed.

    Worked example 2

    2 Al + 3 Cl2 AlCl. Starting with 10.0 g Al and 30.0 g Cl, what mass of AlCl forms?

      0 of 4 steps revealed.

      Common mistakes

      Calling the reactant with the fewest moles the limiting one.

      Why it's wrong: Coefficients set the consumption rate, so a reactant with more moles can still run out first, as H does in the ammonia example.

      Check instead: Divide each reactant's moles by its coefficient, or compute the product each could make.

      Comparing masses in grams to decide which reactant limits.

      Why it's wrong: Molar masses differ, so 30 g of a light reactant can be far more moles than 30 g of a heavy one.

      Check instead: Convert every reactant to moles before comparing anything.

      Calculating the theoretical yield from the excess reactant.

      Why it's wrong: That reactant is still present when the reaction stops, so it overstates the product.

      Check instead: Always base the yield on the reactant that gave the smaller product amount.

      Subtracting moles of limiting reactant directly from moles of excess reactant.

      Why it's wrong: The two are consumed in the coefficient ratio, not one for one.

      Check instead: Convert the limiting amount into moles of the excess reactant consumed before subtracting.

      Assuming adding more excess reactant produces more product.

      Why it's wrong: The limiting reactant has already been fully consumed, so nothing further can react.

      Check instead: Ask what would still be available to react, then answer.

      Practice this skill

      No practice questions are available for this topic yet. You can still practice the whole unit.

      What you should now know

      Convert every reactant to moles, use the mole ratio to find how much product each one could make on its own, and take the smallest result. That reactant is limiting, its value is the theoretical yield, and the leftover excess is found by subtracting what actually reacted.

      • The limiting reactant runs out first and sets the theoretical yield.
      • Compare the product each reactant could make, or divide moles by coefficient, never compare raw masses.
      • Leftover excess = initial moles minus moles consumed at the coefficient ratio.
      • Adding more excess reactant cannot raise the theoretical yield.

      Sources and further reading

      • Chemistry 2e, Section 4.3: Reaction Stoichiometry
        Paul Flowers, Klaus Theopold, Richard Langley, William R. Robinson · OpenStax, Rice University · Chapter 4.3
        View source

        Chemistry 2e, OpenStax, Rice University, licensed CC BY 4.0. License