Limiting Reagent Calculator

Divide each reactant’s moles by its coefficient in the balanced equation. The smaller result is the limiting reagent, and it sets how much product can form.

Also called: Limiting reactant calculator · Stoichiometry calculator · Theoretical yield calculator

  • Last updated
  • Formula tested against reference values

Your numbers

Result

Limiting reagent
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Calculating…

Theoretical yield of product
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Product formed
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Excess reactant left over
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Moles of A
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Moles of B
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How to use this calculator

  1. Enter or choose reactant A name.
  2. Enter or choose mass of A.
  3. Enter or choose molar mass of A.
  4. Enter or choose coefficient of A (a).
  5. Enter or choose reactant B name.
  6. The limiting reagent updates as you type. Use Copy result or Share to keep it.

Method

n = m ÷ M; limiting = smaller of n_A ÷ a and n_B ÷ b; product = c × min(n_A/a, n_B/b); yield = product × M_P

a, b, c
coefficients in the balanced equation aA + bB → cP
n_A, n_B
moles of each reactant
M_P
molar mass of the product

Worked example

  1. n(H₂) = 10 ÷ 2.016 = 4.9603 mol → ÷ 2 = 2.4802; n(O₂) = 64 ÷ 31.998 = 2.0001 mol → ÷ 1 = 2.0001.
  2. O₂ gives the smaller ratio, so it is limiting: water = 2 × 2.000125 = 4.00025 mol × 18.015 = 72.06 g.
  3. H₂ used = 4.00025 mol × 2.016 = 8.0645 g, so 10 − 8.0645 = 1.94 g of H₂ is left.

In 2H₂ + O₂ → 2H₂O with 10 g H₂ and 64 g O₂, oxygen is limiting; at most 72.06 g of water forms and 1.94 g of hydrogen is left over.

What the result means

Actual yield is usually lower than theoretical; percentage yield = actual ÷ theoretical × 100.

Assumptions and limits

  • The equation is balanced and the reaction goes to completion.
  • Reactants are pure.
  • Two reactants and one product of interest; for more reactants, compare every n ÷ coefficient ratio the same way.

Questions

Is the reactant with the smaller mass always limiting?

No. Compare moles divided by coefficients, not grams. Here 10 g of hydrogen is in excess over 64 g of oxygen.

Can I use fractional coefficients?

Yes. Only the ratios between coefficients matter.