Titrations

Core Concept

A titration is a laboratory method used to determine the concentration of an unknown solution by reacting it with a solution of known concentration (the titrant).

Key Principle: The reaction between the titrant and analyte (unknown solution) must be stoichiometrically balanced.

Practice Tips

  • Titrations are precise and widely used techniques to determine unknown concentrations.

  • In acid-base titrations, choose an appropriate indicator and understand the reaction's equivalence point.

  • Use M1V1=M2V2M_1V_1 = M_2V_2M1​V1​=M2​V2​ for titration calculations and always verify your results.

  • Analyze titration curves to understand the pH changes during the process.

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Episode

Titrations

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Types of Titrations

Acid-Base Titrations

  • Process: Involve the neutralization reaction between an acid and a base.

  • Example: Determining the concentration of $HCl$ using $NaOH$ as the titrant.

Redox Titrations

  • Process: Based on oxidation-reduction reactions where electrons are transferred between the analyte and the titrant.

  • Example: Determining the concentration of $Fe^{2+}$ using $KMnO_4$ (Potassium Permanganate).

Complexometric Titrations

  • Process: Involve the formation of a stable complex ion.

  • Example: Determining metal ions (like $Ca^{2+}$ or $Mg^{2+}$) using EDTA as the complexing agent.

Precipitation Titrations

  • Process: Based on a reaction that forms an insoluble precipitate.

  • Example: Determining $Cl^-$ concentration using $AgNO_3$ (Argentometric titration), which forms a white $AgCl$ precipitate.

Steps in a Titration

Acid-Base Titrations

Neutralization Reaction

General Reaction: Acid + Base → Salt + Water

Example:

$$HCl + NaOH \rightarrow NaCl + H_2O$$

Key Terms

  • Equivalence Point: The point at which the moles of acid equal the moles of base. For strong acid-strong base titrations, this occurs at $pH = 7$.

  • End Point: The point where the indicator changes color, ideally very close to the equivalence point.

  • Indicators: Substances chosen to change color at the specific pH of the equivalence point.

    • Phenolphthalein: Colorless in acid, pink in base ($pH$ range 8.2–10).

    • Methyl Orange: Red in acid, yellow in base ($pH$ range 3.1–4.4).

Titration Curve

A titration curve plots the pH of the solution against the volume of titrant added.

  • Strong Acid-Strong Base:

    • Starts at a low pH (acidic).

    • Sharp increase at the equivalence point ($pH = 7$).

    • Levels off at a high pH (basic).

  • Weak Acid-Strong Base:

    • Starts at a slightly higher pH.

    • Equivalence point above $pH = 7$ due to the formation of a weak conjugate base.

  • Weak Base-Strong Acid:

    • Starts at a slightly lower pH.

    • Equivalence point below $pH = 7$ due to the formation of a weak conjugate acid.

Titration Calculations

Key Formula: $$M_1V_1 = M_2V_2$$

Where:

  • $M_1$: Molarity of the titrant

  • $V_1$: Volume of the titrant

  • $M_2$: Molarity of the analyte

  • $V_2$: Volume of the analyte

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