pH Titration Curves (CIE AS Chemistry)

What are pH titration curves?

• Titration is a technique used in neutralisation reactions between acids and alkalis to determine the concentration of the unknown solution
• It involves adding a titrant of known concentration from a burette into a conical flask containing the analyte of unknown concentration
• An indicator is added which will change colour at the endpoint of the titration
• The endpoint is the point at which an equal number of moles of titrant and analyte react with each other
• The equivalence point is halfway along the vertical region of the curve

Equivalence point → moles of alkali = moles of acid

• This is also known as the equivalence point and this is the point at which neutralisation takes place

Example pH titration curve

The equivalence point is the point at which an equal number of moles of titrant and analyte have reacted

Sketching a pH titration curve

• Draw axes with volume added (cm³) on the x-axis and pH on the y-axis

• Draw a horizontal line running parallel to the x-axis at pH 7
  • Everything below this line will be in the acidic region and everything above it in the alkaline region

• Determine which substance is in the conical flask
  • If it is a strong acid the initial pH is about 1 or 2
  • If it is a weak acid the initial pH is about 2-3
  • If it is a strong alkali the initial pH is about 13-14
  • If it is a weak alkali the initial pH is about 11

• Determine what type of acid and alkali are used:
  • Strong acid + strong alkali
  • Strong acid + weak alkali
  • Weak acid + strong alkali
  • Weak acid + weak alkali

• Draw the pH titration curve

Strong acid + strong alkali pH titration curve

• Initially, there are only H⁺ ions present in the solution from the dissociation of the strong acid (HCl) (initial pH about 1-2)
• As the volume of strong alkali (NaOH) added increases, the pH of the HCl solution slightly increases too as more and more H⁺ ions react with the OH^- from the NaOH to form water
• The change in pH is not that much until the volume added gets close to the equivalence point
• The pH surges upwards very steeply
• The equivalence point is the point at which all H⁺ ions have been neutralised
  • Therefore, the pH is 7 at the equivalence point
• Adding more NaOH will increase the pH as now there is an excess in OH^- ions (final pH about 13-14)

pH titration curve for a strong acid + strong alkali

The diagram shows a pH titration curve of 1.0 mol dm^-3 HCl (25 cm³) with NaOH

• The pH titration curve for HCl added to a NaOH has the same shape
• The initial pH and final pH are the other way around
• The equivalence point is still 7

pH titration curve for a strong alkali + strong acid

    The diagram shows a pH titration curve of 1.0 mol dm^-3 NaOH (25 cm³) with HCl

Strong acid + weak alkali pH titration curve

• Initially, there are only H⁺ ions present in the solution from the dissociation of the strong acid (HCl) (initial pH about 1-2)
• As the volume of weak alkali (NH₃) added increases, the pH of the analyte solution slightly increases too as more and more H⁺ ions react with the NH₃
• The change in pH is not that much until the volume added gets close to the equivalence point
• The equivalence point is the point at which all H⁺ ions have been neutralised by the NH₃ however the equivalence point is not neutral, but the solution is still acidic (pH about 5.5)
• This is because all H⁺ have reacted with NH₃ to form NH₄⁺ which is a relatively strong acid, causing the solution to be acidic
• As more of the NH₃ is added, the pH increases to above 7 but below that of a strong alkali as NH₃ is a weak alkali

pH titration curve for a strong acid + weak alkali

The diagram shows a pH titration curve of 1.0 mol dm^-3 HCl (25 cm³) with NH₃

• The pH titration curve for strong acid added to a weak alkali has the same shape
• The initial and final pH are the other way around
• The equivalence point is still about 5.5

Weak acid + strong alkali pH titration curve

• Initially, there are only H⁺ ions present in the solution from the dissociation of the weak acid (CH₃COOH, ethanoic acid) (initial pH about 2-3)
• As the volume of strong alkali (NaOH) added increases, the pH of the ethanoic acid solution slightly increases too as more and more H⁺ ions react with the OH^- from the NaOH to form water
• The change in pH is not that much until the volume added gets close to the equivalence point
• The pH surges upwards very steeply
• The equivalence point is the point at which all H⁺ ions have been neutralised by the OH^- ions however the equivalence point is not neutral, but the solution is slightly basic (pH about 9)
• This is because all H⁺ in CH₃COOH have reacted with OH^- however, CH₃COO^- is a relatively strong base, causing the solution to be basic
• As more of the NaOH is added, the pH increases to about 13-14

 pH titration curve for a weak acid + strong alkali

The diagram shows a pH titration curve of a weak acid with a strong base

• The pH titration curve for weak acid added to a strong alkali has the same shape
• The initial and final pH are the other way around
• The equivalence point is still about 9

Weak acid + weak alkali pH titration curve

• Initially, there are only H⁺ ions present in the solution from the dissociation of the weak acid (CH₃COOH, ethanoic acid) (initial pH about 2-3)
• In these pH titration curves, there is no vertical region
• There is a ‘point of inflexion’ at the equivalence point
• The curve does not provide much other information

pH titration curve for a weak acid + weak alkali

The diagram shows a pH titration curve of 1.0 mol dm^-3 weak acid (25 cm³) with weak alkali