Concentrations of solutions and volumes of gases

Chemistry · Quantitative chemistry. 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

The concentration of a solution tells you how much solute is dissolved in each 1 dm3 of solution. It can be given as a mass (g/dm3) or as an amount (mol/dm3). Volumes are often given in cm3, so change them to dm3 first by dividing by 1000.

In a titration you know the volume and concentration of one solution and the volume of the other. Find the moles of the known solution, use the balanced equation to get the moles of the other, then divide by its volume.

For gases, one mole of any gas takes up 24 dm3 at room temperature and pressure. So equal numbers of moles of different gases have equal volumes.

Rules to remember

Common mistake

Students put the volume into the formula in cm3. Always divide cm3 by 1000 to get dm3 before you multiply or divide by a concentration.

Worked example

25.0 cm3 of potassium hydroxide solution is neutralised by 15.0 cm3 of 0.20 mol/dm3 nitric acid. KOH + HNO3 → KNO3 + H2O. What is the concentration of the potassium hydroxide?

  1. Moles of HNO3 = 0.20 × (15.0 ÷ 1000) = 0.0030 mol.
  2. The equation shows 1 mol of KOH reacts with 1 mol of HNO3, so moles of KOH = 0.0030 mol.
  3. Volume of KOH = 25.0 ÷ 1000 = 0.0250 dm3.
  4. Concentration = 0.0030 ÷ 0.0250 = 0.12 mol/dm3.

Answer: 0.12 mol/dm3

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