MCQEasyJEE 2023Electrolytic Conductance & Kohlrausch's Law

JEE Chemistry 2023 Question with Solution

Choose the correct representation of conductometric titration of benzoic acid vs sodium hydroxide.

  • A
    Graph of conductance versus volume of NaOH showing a steady increase first with a gentle slope and then a steeper rise after a kink.
  • B
    Graph of conductance versus volume of NaOH showing a low initial dip followed by a gradual increase and then a sharper increase after equivalence.
  • C
    Graph of conductance versus volume of NaOH shaped like an inverted V, increasing to a peak and then decreasing.
  • D
    Graph of conductance versus volume of NaOH shaped like a V, decreasing first to a minimum and then increasing symmetrically.

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: conductometric titration of benzoic acid with sodium hydroxide.

Find: the correct conductance vs volume of NaOH\text{NaOH} graph.

Benzoic acid is a weak acid, so initially the conductance is low because it is only slightly ionized.

As NaOH\text{NaOH} is added, benzoic acid reacts to form sodium benzoate, and the salt is highly ionized. Therefore, the conductance increases.

After the equivalence point, excess NaOH\text{NaOH} adds more ions, especially OH\text{OH}^-, so the conductance increases more rapidly.

Thus, the required graph is the one that shows a small initial dip and then an increase, followed by a steeper increase after the equivalence point.

The correct option is B.

Note: The solution also contains a contradictory label saying option C, but its written explanation explicitly states Option (2) and the graph behavior matches option (2).

Behavior During Titration

Given: benzoic acid is titrated with strong base NaOH\text{NaOH}.

Find: which conductometric curve represents the process.

The relevant reaction is

C6H5COOH+NaOHC6H5COONa+H2O\text{C}_6\text{H}_5\text{COOH} + \text{NaOH} \rightarrow \text{C}_6\text{H}_5\text{COONa} + \text{H}_2\text{O}
  1. Initially, benzoic acid is weakly dissociated, so conductance is low.
  2. On adding NaOH\text{NaOH}, sodium benzoate is formed and the number of ions in solution increases.
  3. Beyond the equivalence point, excess NaOH\text{NaOH} contributes additional Na+\text{Na}^+ and OH\text{OH}^- ions, causing a sharper rise in conductance.

Therefore, the graph must rise overall and become steeper after the equivalence point. This matches option (2), so the correct option is B.

Common mistakes

  • Assuming a weak acid must always show only decreasing conductance at the start is incorrect. Here sodium benzoate forms during titration, increasing the number of ions. Track salt formation, not only acid strength.

  • Confusing weak acid-strong base titration with strong acid-strong base titration leads to choosing the wrong curve. In a weak acid case, low initial ionization and salt formation change the graph shape.

  • Ignoring the region after equivalence point is a mistake. Excess NaOH\text{NaOH} adds highly mobile ions, especially OH\text{OH}^-, so conductance must increase more rapidly after equivalence.

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