Titration Curves & Equivalence Points (College Board AP® Chemistry)

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Philippa Platt

Written by: Philippa Platt

Reviewed by: Stewart Hird

Titration Curves & Equivalence Points

  • During a titration, a pH meter can be used and a pH curve plotted

  • A pH curve is a graph showing how the pH of a solution changes as the acid (or base) is added

Graph to show the pH curve for the addition of a alkali to an acid

Characteristics of a pH curve, downloadable AS & A Level Chemistry revision notes

The features of a pH curve

  • All pH curves show an s-shape curve

  • There are four main points in a titration curve:

    • The start where the solution only contains either acid or base

    • The region where the titrant is added up to the equivalence point, and the solution now contains a mixture of reactant and products

    • The equivalence point occurs when the number of moles of titrant (the solution that has been added) added is equal to the number of moles of analyte originally present

    • The region after the equivalence point where the solution contains product and excess titrant

  • pH curves yield useful information about how the acid and alkali react together with stoichiometric information

  • The midpoint of the inflection is called the equivalence point

  • From the curves, you can:

    • Determine the pH of the acid by looking at where the curve starts on the y-axis

    • Find the pH at the equivalence point

    • Find the volume of base at the equivalence point

    • Obtain the range of pH at the vertical section of the curve

pH curve of a strong acid - strong base

  • For example odium hydroxide, NaOH (aq), is being added to hydrochloric acid, HCl (aq)

HCl (aq) + NaOH (aq) → NaCl (aq) + H2O (l)

Strong acid - strong base pH curve 

Strong acid strong base (1), downloadable IB Chemistry revision notes

The pH increases as the alkali is added to the base

Worked Example

A 0.675 g sample of a solid acid, HA, was dissolved in distilled water and made up to 100.0 cm3 in a volumetric flask. 25.0 cm3 of this solution was titrated against 0.100 mol dm-3 NaOH solution and 12.1 cm3 were required for complete reaction. Determine the molar mass of the acid.

Answer:

Step 1: Write the equation for the reaction:

HA (aq) + NaOH (aq) → NaA (aq) + H2O (l)

Step 2: Calculate the number of moles of the NaOH

  • n(NaOH)sample = 0.0121 mL x 0.100 M = 1.21 x 10-3 mol

Step 3: Deduce the number of moles of the acid

  • Since the acid is monoprotic the number of moles of HA is also 1.21 x 10-3 mol

  • This is present in 25.0 cm3 of the solution

Step 4: Scale up to find the amount in the original 100 mL solution

  • n(HA) = 4.84 x 10-3 mol

Step 5: Calculate the molar mass

moles = mass over bold M

Mfraction numerator 0.675 over denominator 4.84 space cross times 10 to the power of negative 3 end exponent space mol end fraction = 139 g mol-1

Examiner Tips and Tricks

  • When performing titration calculations using monoprotic acids (meaning one H+) such as HCl, the number of moles of the acid and alkali will be the same

  • This allows you to use the relationship:

C1V1 =C2V2

  • C1 and V1 are the concentration and volume of the acid

  • C2 and V2 are the concentration and volume of the alkali

  • There is no need to convert the units of volume to dm3 as this is a ratio

    • Simply re-arrange the formula to solve for the unknown quantity

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Philippa Platt

Author: Philippa Platt

Expertise: Chemistry

Philippa has worked as a GCSE and A level chemistry teacher and tutor for over thirteen years. She studied chemistry and sport science at Loughborough University graduating in 2007 having also completed her PGCE in science. Throughout her time as a teacher she was incharge of a boarding house for five years and coached many teams in a variety of sports. When not producing resources with the chemistry team, Philippa enjoys being active outside with her young family and is a very keen gardener

Stewart Hird

Author: Stewart Hird

Expertise: Chemistry Lead

Stewart has been an enthusiastic GCSE, IGCSE, A Level and IB teacher for more than 30 years in the UK as well as overseas, and has also been an examiner for IB and A Level. As a long-standing Head of Science, Stewart brings a wealth of experience to creating Topic Questions and revision materials for Save My Exams. Stewart specialises in Chemistry, but has also taught Physics and Environmental Systems and Societies.