Answer:
A and C are spontaneous.
Explanation:
You must look up the standard reduction potentials for the half-reactions and then combine them to get the cell potentials for the reaction as written.
A. Ag⁺/Ni
2×[Ag⁺ + e⁻ ⟶ Ag ] 0.7996 V
1×Ni ⟶ Ni²⁺ + 2e⁻] 0.257 V
2Ag⁺ + Ni ⟶ 2Ag + Ni²⁺ 1.057 V
E° > 0. The cell reaction is spontaneous.
B. Ca²⁺/Zn
Ca²⁺ + 2e⁻ ⟶ Ca -2.868 V
Zn ⟶ Zn²⁺ + 2e⁻ 0.7618 V
Ca²⁺ + Zn ⟶ Ca + Zn²⁺ -2.106 V
E° < 0. The cell reaction is not spontaneous.
C. Cr/Pb²⁺
2×[Cr ⟶ Cr³⁺ + 3e⁻] 0.744 V
3×[Pb²⁺ + 2e- ⟶ Pb] -0.1262 V
2Cr + 3Pb²⁺ ⟶ 2Cr³⁺ 0.618 V
E° > 0. The cell reaction is spontaneous.
D. Fe/Mn²⁺
Fe ⟶ Fe²⁺ + 2e- 0.447 V
Mn²⁺ + 2e- ⟶ Mn -1.185 V
Fe + Mn²⁺ ⟶ Fe²⁺+ Mn -0.738 V
E° < 0. The cell reaction is not spontaneous.