Titration Calculations (OCR GCSE Chemistry A (Gateway Science Suite)): Revision Notes
4.2.10 Titration Calculations
Titration calculations determine the concentration of an unknown acid or base in a solution. By using the volume of titrant (a solution of known concentration) required to neutralise a known volume of analyte (the solution being tested), you can calculate the unknown concentration.
Worked Example: Calculating the Concentration of an Acid In this example, we'll calculate the concentration of hydrochloric acid (HCl) using data from a titration with sodium hydroxide (NaOH).
Given:
- Volume of NaOH solution: 25.0 cm³
- Concentration of NaOH solution: 0.100 mol/dm³
- The volume of HCl solution: 20.00 cm³ Goal: Find the concentration of the hydrochloric acid solution.
Step 1: Calculate the Amount of Sodium Hydroxide in Moles First, convert the volume of the sodium hydroxide solution from cm³ to dm³:
Use the formula:
Substituting the values:
Amount of NaOH =
Step 2: Find the Amount of Hydrochloric Acid in Moles
Using the balanced chemical equation:
The mole ratio of NaOH to HCl is 1:1. Therefore, the amount of HCl that reacted is the same as the amount of NaOH:
Amount of HCl =
Step 3: Calculate the Concentration of Hydrochloric Acid in mol/dm³
Convert the volume of the hydrochloric acid solution from cm³ to dm³:
Now, calculate the concentration using the formula:
Substituting the values:
Step 4: Calculate the Concentration of Hydrochloric Acid in g/dm³
To find the concentration in g/dm³, use the relative formula mass (Mᵣ) of HCl:
Now calculate the mass:
So, the concentration of hydrochloric acid in g/dm³ is:
Summary
In this titration example, we calculated the concentration of hydrochloric acid by following a systematic process:
- Calculate the moles of the base used.
- Determine the moles of acid that reacted, using the balanced equation.
- Calculate the concentration of the acid in mol/dm³.
- Convert the concentration to g/dm³ if required.