To understand in which galvanic cell the reaction \(\frac{1}{2}\)H2(g) + AgCl(s) → H+(aq) + Cl-(aq) + Ag(s) occurs, let's analyze the given options and the corresponding reactions:
- Ag | AgCl(s) | KCl(soln) || AgNO3 | Ag:
- This configuration does not involve the required hydrogen electrode for the reaction with H2 gas, making it unrelated to the given reaction.
- Pt | H2(g) | HCl(soln) || AgNO3 (soln) | Ag:
- This setup involves a hydrogen electrode, but the presence of AgNO3 on the other side is not suitable for the deposition of Ag from AgCl, not fulfilling the given reaction.
- Pt | H2(g) | HCl(soln) || AgCl(s) | Ag:
- This setup is the correct configuration. Here's why:
- The left side is a hydrogen electrode where \(\frac{1}{2}\)H2(g) can produce H+ ions.
- The right side has AgCl(s) which disassociates to Cl- and allows Ag(s) to precipitate.
- The given reaction shows H2 reacting with AgCl, making this galvanic cell the correct match.
- Pt | H2(g) | KCl(soln) || AgCl(s) | Ag:
- Although AgCl and Ag are present, the KCl solution does not provide the necessary HCl for the reaction, unlike the HCl solution needed to provide H+ ions for the specified reaction.
On reviewing all the options, the galvanic cell Pt | H2(g) | HCl(soln) || AgCl(s) | Ag is the one where the reaction efficiently proceeds as described, involving the correct components and conditions.