Acid-Base Titration Study Notes

Acid-Base Titration Overview

1. Definition and Purpose
  • Titration: A technique used to determine the concentration of an unknown solution called the analyte.
      - It employs a titrant, a solution of known concentration, to react with the analyte.
      - The process includes the addition of titrant from a burette to the analyte solution until the reaction completes.
      - The completion is typically indicated by a color change, referred to as the endpoint.

2. Key Terms
  • Titrant: Solution in the burette with a precisely known concentration, also known as a standard solution.

  • Titrand or Analyte: The unknown concentration solution present in the conical flask.

  • End-Point: The point in titration when the indicator changes color (does not necessarily coincide with the equivalence point).

  • Equivalence Point: The theoretical point where the amount of titrant added is stoichiometrically equivalent to the amount of analyte present, defined as:
      extmoloftitrant=extmolofanalyteext{mol of titrant} = ext{mol of analyte}.

  • Indicator: An organic compound, either a weak acid or weak base, added to the solution that changes color at or near the equivalence point.

  • Blank Titration: A titration process performed without the analyte to estimate titration error.
      - All reagents are included except the analyte, and the result is used to adjust the volume measured during the real titration.

3. Titration Curves

3.1 Definition

  • A titration curve is a plot illustrating the relationship between the pH of the analyte solution and the volume of titrant added (in cm³ or mL).

3.2 Example

  • When titrating 20.00 mL of 0.100 M HCl (strong acid) with 0.100 M NaOH (strong base), the titration curve displays a significant change in pH around the equivalence point.

Indicators in Acid-Base Titrations

1. Importance of pH Range and Transition
  • The pH range of indicators signifies the extent of color change at certain pH levels, typically covering ±1 of its pKa value.
      - For instance, an indicator is yellow when pH is lower than pKa - 1, and turns red to greater than pKa + 1.

Indicator

Colour Range

pKa

Litmus

Red at < pH 7, Blue at > pH 7

6.5

Methyl Orange

Red (pH < 3.1) to Yellow (pH > 4.4)

4.4

Phenolphthalein

Colourless (pH < 8) to Pink (pH > 10)

9.6

  



2. Transition Mechanism
  • Acid-base indicators can be represented generally as weak acids or bases, for example, HIn (acid form) changes form to In− (conjugate base), influencing the solution's colour.

  • The general dissociation reaction is:
      extHin(aq)+extH2extO(l)<br>ightleftharpoonsextIn−(aq)+extH3extO+(aq)ext{Hin (aq)} + ext{H}_2 ext{O} (l) <br>ightleftharpoons ext{In}^− (aq) + ext{H}_3 ext{O}^+ (aq)

3. Color Change Mechanism
  • At low pH, high concentration of H3O+ drives the equilibrium left, leading to the acid form's color appearing (Colour A).

  • At high pH, a low concentration of H3O+ shifts the equilibrium to the right leading to the base form's color (Colour B).

4. Effect of Concentration Ratios
  • Human perception of color differing in a mixture of [In−] and [HIn] is affected by their ratio, where colors appear constant when 10 times greater or less.

  • Indicators exhibit an acid color if:
      [HIn]extisdominant,extwhere[HIn]/[In−]extissignificantlyhigher(>10)[HIn] ext{ is dominant, } ext{where } [HIn]/[In−] ext{ is significantly higher (>10)}

  • Conversely, an indicator appears its base color if:
      [In−]extisdominant,extwhere[HIn]/[In−]extissignificantlylower(<0.1)[In−] ext{ is dominant, } ext{where } [HIn]/[In−] ext{ is significantly lower (<0.1)}

5. Analysis of Specific Indicators
  • Methyl Orange:
      - Changes from red (acidic) to yellow (basic) across the pH range of 3.1 to 4.4, as expressed in the equilibrium reaction:
      extHMeOr(aq)+extH2extO(l)<br>ightleftharpoonsextH3extO(aq)+extMeOr−ext{HMeOr (aq)} + ext{H}_2 ext{O} (l) <br>ightleftharpoons ext{H}_3 ext{O} (aq) + ext{MeOr}^-

  • Phenolphthalein:
      - Normally colourless in acidic solutions; becomes pink in basic solutions.
      - The equilibrium represented as:
      extHphph(aq)<br>ightleftharpoonsextH3extO(aq)+extphph−(aq)ext{Hphph (aq)} <br>ightleftharpoons ext{H}_3 ext{O} (aq) + ext{phph}^- (aq)

  • Litmus: Turns from red in acidic conditions to blue in basic conditions, typically around pH 7, making it useful for general acidity/basicity testing.

6. Conclusion
  • Understanding the mechanisms behind titrations, indicators, and the significance of various pH levels is crucial for accurate analytical results in chemistry. Indicators play a vital role in determining endpoints during acid-base titrations, where their color change corresponds to the reaction progress.