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Which reactant runs out first, and how much product do you really get?

Limiting reactants and percent yield: identify the limiting and excess reactants, calculate the theoretical yield, and calculate the percent yield.

A focused Virginia SOL Chemistry answer on yield under CH.3: identifying the limiting and excess reactants, calculating the theoretical yield of product from the limiting reactant, and finding the percent yield from the actual yield.

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  1. What this topic is asking
  2. The limiting and excess reactants
  3. Finding the limiting reactant
  4. Theoretical yield and percent yield
  5. Try this

What this topic is asking

Standard CH.3 extends stoichiometry to real reactions, where one reactant usually runs out first. Virginia expects you to identify the limiting reactant and the excess reactant, to calculate the theoretical yield of product from the limiting reactant, and to compare it with the actual yield as a percent yield. This is how stoichiometry connects to a real laboratory result.

The limiting and excess reactants

A useful analogy: making sandwiches with two slices of bread each, if you have ten slices of bread and twenty fillings, the bread limits you to five sandwiches and the fillings are in excess. In chemistry the "recipe" is the mole ratio, so you must compare moles, not masses, against that ratio.

Finding the limiting reactant

You cannot tell the limiting reactant by mass alone, because the reactants combine in a mole ratio that is rarely 1:11:1. Always work in moles and test each reactant against the balanced equation.

Theoretical yield and percent yield

The theoretical yield is the amount of product predicted by stoichiometry from the limiting reactant, assuming the reaction goes to completion with no losses. In practice the actual yield (what you measure) is usually less, because of side reactions, incomplete reactions, or losses in handling. The percent yield measures the efficiency:

percent yield=actual yieldtheoretical yield×100\text{percent yield} = \frac{\text{actual yield}}{\text{theoretical yield}} \times 100

A percent yield above 100%100\% is impossible in a clean reaction; if you calculate one, the product is impure or a measurement is wrong, because the theoretical yield is the maximum.

Try this

Q1. In a reaction, 0.300.30 mol of one reactant could make 0.300.30 mol of product, while the other reactant could make 0.450.45 mol. Which is the limiting reactant? [1 point]

  • Cue. The first reactant; it makes the smaller amount of product (0.300.30 mol), so it runs out first.

Q2. A reaction has a theoretical yield of 25.025.0 g and an actual yield of 20.020.0 g. Calculate the percent yield. [2 points]

  • Cue. 20.025.0×100=80.0%\dfrac{20.0}{25.0} \times 100 = 80.0\%.

Exam-style practice questions

Practice questions written in the style of VDOE exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

SOL (multiple choice)1 marksIn a reaction, the limiting reactant is the one that (A) is present in the largest mass (B) is completely used up first and limits the product (C) is left over at the end (D) has the largest molar mass
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The answer is (B) is completely used up first and limits the product.

The limiting reactant runs out first and therefore determines (limits) how much product can form; once it is gone, the reaction stops even if other reactants remain. The reactant left over is the excess reactant (C). Mass (A) and molar mass (D) do not by themselves decide which is limiting; you compare the available moles against the mole ratio.

The trap is choosing the reactant present in the smallest mass; the limiting reactant depends on moles and the mole ratio, not on mass alone.

SOL (tech-enhanced, fill in the blank)3 marksA student reacts magnesium with oxygen and produces 7.07.0 g of magnesium oxide. The theoretical yield calculated from the limiting reactant is 8.08.0 g. (a) Calculate the percent yield. (b) State whether the actual yield can ever exceed the theoretical yield.
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A 3-point percent-yield item.

(a) Percent yield (2 points): percent yield=actual yieldtheoretical yield×100=7.08.0×100=87.5%\text{percent yield} = \dfrac{\text{actual yield}}{\text{theoretical yield}} \times 100 = \dfrac{7.0}{8.0} \times 100 = 87.5\%.
(b) No (1 point): the actual yield cannot exceed the theoretical yield (so percent yield cannot exceed 100%100\%), because the theoretical yield is the maximum possible from the limiting reactant; a value above 100%100\% signals impurity or measurement error.

Markers reward the percent-yield formula and the reasoning that the theoretical yield is the ceiling.

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