Related Formula
Ease of discharge at Cathode ∝ Standard Reduction Potential (E⁰)$$\text{Ease of discharge at Cathode} \propto \text{Standard Reduction Potential } (E^0)$$
Core Logic
- At the cathode, the metal ion with the highest standard reduction potential (E⁰$E^0$) gets reduced and deposited first. Arranging the given potentials:
E⁰Ag^+/Ag (0.80V) > E⁰Hg₂²⁺/Hg (0.79V) > E⁰Cu²⁺/Cu (0.24V)$$E^0_{\text{Ag}^+/\text{Ag}} (0.80\text{V}) > E^0_{\text{Hg}_2^{2+}/\text{Hg}} (0.79\text{V}) > E^0_{\text{Cu}^{2+}/\text{Cu}} (0.24\text{V}) $$
Thus, deposition follows the order Ag arrow Hg arrow Cu$\text{Ag} \rightarrow \text{Hg} \rightarrow \text{Cu}$ as voltage is steadily increased, confirming Statement I.
- For Mg²⁺$\text{Mg}^{2+}$, its reduction potential is highly negative (-2.37 V$-2.37\text{ V}$), much lower than that of water (-0.83 V$-0.83\text{ V}$). Consequently, water undergoes reduction at the cathode instead of magnesium:
2H₂O + 2e^- arrow H₂(g) + 2OH^-$$2\text{H}_2\text{O} + 2e^- \rightarrow \text{H}_2(g) + 2\text{OH}^- $$
This results in the evolution of Hydrogen gas at the cathode, not oxygen gas. Oxygen gas is evolved at the anode via water oxidation. Thus, Statement II is incorrect. [cite: 1042, 1044]
Step 1: Conclusion Match
Since Statement I is correct and Statement II is incorrect, we select option (2).
Pattern Recognition
Cathode vs Anode Gas Trap: During the aqueous electrolysis of highly reactive metals (Groups 1, 2, and Al$\text{Al}$), H₂$\text{H}_2$ gas is always discharged at the cathode due to water's easier reduction profile. Oxygen gas (O₂$\text{O}_2$) is an anodic product generated by water oxidation.
Chapter Mix
Class 12 Chemistry: Electrochemistry