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Q.On electrolysis of very dilute aqueous solution of NaCl using platinum electrodes : (A) H2H_2 gas is evolved at anode. (B) Na is produced at cathode. (C) O2O_2 gas is evolved at anode. (D) H2H_2 gas is evolved at cathode.

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In very dilute aqueous NaCl with inert Pt electrodes, water’s reduction to H2H_2 at the cathode and water’s oxidation to O2O_2 at the anode outcompete the NaCl reactions. So H2H_2 is produced at the cathode and O2O_2 at the anode — making option (C) and (D) correct.

Why standard electrode potentials decide the outcome

Electrolysis is a battle of competing half-reactions. At each electrode, the species that is easier to oxidise (at the anode) or easier to reduce (at the cathode) will react first. “Easier” means having a more positive reduction potential for reduction, or a more negative reduction potential for oxidation (equivalently, a more positive oxidation potential).

For a very dilute aqueous solution of NaCl, the possible species are:

  • Cathode (reduction): Na+Na^+ ions and H2OH_2O molecules.
  • Anode (oxidation): Cl−Cl^- ions and H2OH_2O molecules.

We compare their standard reduction potentials (at 298 K, 1 M concentration, 1 atm pressure). But remember: concentration matters. In very dilute NaCl, [Cl−][Cl^-] is tiny, which shifts the actual potential of the chlorine half-reaction significantly.


Step-by-step reasoning

1. What happens at the cathode?

Two reduction half-reactions compete:

Na++e−→Na(s)E∘=−2.71 V2H2O+2e−→H2(g)+2OH−E∘=−0.83 V\begin{aligned} Na^+ + e^- &\rightarrow Na(s) \quad E^\circ = -2.71\ \text{V} \\[4pt] 2H_2O + 2e^- &\rightarrow H_2(g) + 2OH^- \quad E^\circ = -0.83\ \text{V} \end{aligned}

The reduction of water to hydrogen gas has a much less negative (i.e., more positive) standard potential. Even though the actual potential for water reduction depends slightly on pH (here neutral to slightly basic), it remains far above −2.71 V-2.71\ \text{V}. So water is reduced preferentially.

Watch out

A common mistake is to think that because Na+Na^+ is present, sodium metal will plate out. But sodium’s reduction potential is so negative that water (even in neutral solution) is reduced first. Sodium metal would instantly react with water anyway — it’s never produced in aqueous electrolysis.

Result at cathode: H2H_2 gas is evolved. This matches option (D).


2. What happens at the anode?

Two oxidation half-reactions compete (written as reductions for comparison):

Cl2(g)+2e−→2Cl−E∘=+1.36 VO2(g)+4H++4e−→2H2OE∘=+1.23 V\begin{aligned} Cl_2(g) + 2e^- &\rightarrow 2Cl^- \quad E^\circ = +1.36\ \text{V} \\[4pt] O_2(g) + 4H^+ + 4e^- &\rightarrow 2H_2O \quad E^\circ = +1.23\ \text{V} \end{aligned} …

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