Application Question
Medium difficulty • Concept in a practical situation
Question 1
Applied ConceptA student wants to electroplate a copper ornament with silver. She sets up a cell with a silver anode, copper cathode, and silver nitrate solution as electrolyte. Explain the electrode processes and calculate the mass of silver deposited if 2 amperes current is passed for 30 minutes. (Atomic mass of Ag = 108 g mol−1, F = 96500 C mol−1)
- At cathode (copper ornament): Ag+(aq) + e− → Ag(s); silver ions are reduced and deposited on the copper surface. At anode (silver): Ag(s) → Ag+(aq) + e−; silver dissolves, replenishing Ag+ ions in solution.
- Charge passed Q = I × t = 2 A × 1800 s = 3600 C. For Ag+ + e− → Ag, 1F (96500 C) deposits 108 g Ag.
- Mass of Ag deposited = (108 × 3600) / 96500 = 4.03 g. The silver anode ensures the Ag+ concentration in solution remains constant, making this process efficient for electroplating.