Final answer:
(a) 2Al(s) + 3Zr⁴⁺(aq) → 2Al³⁺(aq) + 3Zr(s)
(b) 3Ag⁺(aq) + NO(g) → 3Ag(s) + NO₃⁻(aq) (acidic solution)
(c) SiO₃²⁻(aq) + 3Mg(s) → Si(s) + 3Mg(OH)₂(s) (basic solution)
(d) 6ClO₃⁻(aq) + 2MnO₂(s) → 6Cl⁻(aq) + 2MnO₄⁻(aq) (basic solution)
Step-by-step explanation:
(a) The balanced reaction is 2Al(s) + 3Zr⁴⁺(aq) → 2Al³⁺(aq) + 3Zr(s). In a galvanic cell, the anode is where oxidation occurs, so 2Al(s) undergoes oxidation to 2Al³⁺(aq), while 3Zr⁴⁺(aq) is reduced to 3Zr(s) at the cathode.
(b) The balanced reaction is 3Ag⁺(aq) + NO(g) → 3Ag(s) + NO₃⁻(aq) (acidic solution). In a galvanic cell under acidic conditions, the half-reaction at the anode is 3Ag⁺(aq) being oxidized to 3Ag(s), and at the cathode, NO(g) is reduced to NO₃⁻(aq).
(c) The balanced reaction is SiO₃²⁻(aq) + 3Mg(s) → Si(s) + 3Mg(OH)₂(s) (basic solution). In a galvanic cell under basic conditions, SiO₃²⁻(aq) is oxidized at the anode, producing Si(s), and 3Mg(s) undergoes reduction to 3Mg(OH)₂(s) at the cathode.
(d) The balanced reaction is 6ClO₃⁻(aq) + 2MnO₂(s) → 6Cl⁻(aq) + 2MnO₄⁻(aq) (basic solution). In a galvanic cell under basic conditions, 6ClO₃⁻(aq) is oxidized at the anode to 6Cl⁻(aq), and 2MnO₂(s) undergoes reduction to 2MnO₄⁻(aq) at the cathode