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Question

Q.Give reasons for the following :

(a) The pH of aqueous NaCl increases when it is electrolysed.
(b) Unlike dry cell, mercury cell has a constant cell potential through its lifetime.
(c) Conductivity of solution decreases with dilution.
CBSECBSE Class XII Board 2025Subjective· 3mImportance★★★★★
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(a) Electrolysis of NaCl(aq) produces OH⁻ ions at the cathode, making the solution basic; (b) mercury cells use solid reactants/products whose activities remain constant; (c) dilution reduces the number of ions per unit volume faster than it increases their mobility.


(a) Why does pH of aqueous NaCl increase during electrolysis?

Sodium chloride solution is neutral to start with (pH≈7\text{pH} \approx 7), but electrolysis changes the chemistry at both electrodes.

At the cathode (reduction), water is preferentially reduced over Na⁺ because sodium has a much more negative reduction potential:

2 HX2O+2 eX−→HX2(g)+2 OHX−(aq)E∘=−0.83 V\ce{2H2O + 2e^- -> H2(g) + 2OH^-(aq)} \quad E^\circ = -0.83 \text{ V}

At the anode (oxidation), chloride ions are oxidized:

2 ClX−(aq)→ClX2(g)+2 eX−E∘=−1.36 V\ce{2Cl^-(aq) -> Cl2(g) + 2e^-} \quad E^\circ = -1.36 \text{ V}

The net result is that hydroxide ions accumulate in the solution while chloride ions are consumed. Sodium ions remain as spectators. The solution becomes progressively richer in NaOH, driving the pH upward.

Watch out

A common mistake is to think Na⁺ gets reduced to sodium metal. In aqueous solution, water is far easier to reduce than Na⁺, so hydrogen gas evolves instead.


(b) Why does a mercury cell maintain constant potential throughout its life?

Cell potential depends on the activities (effective concentrations) of reactants and products through the Nernst equation:

Ecell=Ecell∘−RTnFln⁡QE_{\text{cell}} = E^\circ_{\text{cell}} - \frac{RT}{nF} \ln Q

In a mercury cell, the half-reactions are:

Anode:

Zn(Hg)+2 OHX−→ZnO(s)+HX2O+2 eX−\ce{Zn(Hg) + 2OH^- -> ZnO(s) + H2O + 2e^-}

Cathode:

HgO(s)+HX2O+2 eX−→Hg(l)+2 OHX−\ce{HgO(s) + H2O + 2e^- -> Hg(l) + 2OH^-}

Notice that:

  1. All reactants and products are either solids or amalgams (zinc dissolved in mercury, liquid mercury, solid HgO, solid ZnO).
  2. The activity of a pure solid or liquid is defined as unity and does not change as the reaction proceeds.
  3. The concentration of OH⁻ in the electrolyte (KOH) remains essentially constant because it is consumed at the anode and regenerated at the cathode in equal amounts.

Since QQ remains constant (all activities are fixed), the cell potential stays at Ecell∘E^\circ_{\text{cell}} throughout discharge.

Tip

Contrast this with a dry cell (Leclanché), where the electrolyte (NH₄Cl paste) and reactants change concentration as the cell discharges, causing the potential to drop steadily.


(c) Why does conductivity decrease with dilution?

Conductivity κ\kappa (in S m⁻¹) measures how well a solution conducts electricity. It depends on two factors:

κ=∑izi2 ci λi\kappa = \sum_i z_i^2 \, c_i \, \lambda_i

where cic_i is the concentration of ion ii and λi\lambda_i is its molar conductivity.

When you dilute a solution:

  1. The number of ions per unit volume decreases proportionally. If you double the volume, the concentration halves. …

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