How much? The amount of chemical change

Chemistry · Reactivity 2: How much, how fast and how far?. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

A balanced equation is a recipe in moles. The coefficients give the mole ratio in which substances react and form. Every calculation follows the same path: change what you are given into moles, use the ratio, then change moles into the mass, gas volume or concentration you want.

Reactants are rarely mixed in the exact ratio. The limiting reactant runs out first and decides how much product can form. The other reactant is in excess.

The theoretical yield is the maximum amount the equation allows. Percentage yield compares what you actually obtained with it. Atom economy is different: it shows how much of the mass of the reactants ends up in the product you want.

Rules to remember

Common mistake

Students choose the reactant with the smaller mass or the smaller number of moles as the limiting reactant. You must compare moles with the ratio in the equation before you decide.

Worked example

2.43 g of magnesium is added to 50.0 cm3 of 2.00 mol dm−3 HCl: Mg + 2HCl → MgCl2 + H2. What volume of hydrogen forms at STP? (Ar: Mg 24.31; molar volume 22.7 dm3 mol−1)

  1. Moles of Mg = 2.43 ÷ 24.31 = 0.100 mol. Moles of HCl = 2.00 × 0.0500 = 0.100 mol.
  2. 0.100 mol of Mg needs 0.200 mol of HCl, but only 0.100 mol is present, so HCl is limiting.
  3. Moles of H2 = 0.100 ÷ 2 = 0.0500 mol.
  4. Volume = 0.0500 × 22.7 = 1.135 dm3.

Answer: 1.14 dm3 of hydrogen (HCl is the limiting reactant)

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