Step 1: Concept:
The question requires matching common transition metal half-cells with their standard reduction potentials ($E^\circ$) at 298 K ($25^\circ\text{C}$).
Step 2: Key Formula or Approach:
Knowledge of the standard electrochemical series is needed. The exact textbook values are:
- $E^\circ(Zn^{2+}/Zn) \approx -0.76 \text{ V}$
- $E^\circ(Cu^{2+}/Cu) \approx +0.34 \text{ V}$
- $E^\circ(Ni^{2+}/Ni) \approx -0.25 \text{ V}$
- $E^\circ(Mn^{2+}/Mn) \approx -1.18 \text{ V}$
We must match these standard values to the closest approximations given in List II.
Step 3: Step-by-step Explanation:
• C. $Zn^{2+/Zn$:} The standard reduction potential is widely known as exactly -0.76 V. This perfectly matches (I). So, C-I.
• B. $Cu^{2+/Cu$:} Copper is one of the few common metals with a positive reduction potential, typically $+0.34 \text{ V}$. The closest value in the list is +0.35 V (III). So, B-III.
• A. $Ni^{2+/Ni$:} The standard value is $-0.25 \text{ V}$. The closest value provided in List II is -0.23 V (IV). So, A-IV.
• D. $Mn^{2+/Mn$:} Manganese is highly electropositive. Its standard reduction potential is $-1.18 \text{ V}$. The closest remaining value in the list is -1.08 V (II). So, D-II.
Bringing it all together: A-IV, B-III, C-I, D-II.
Step 4: Final Answer:
This specific sequence matches option (C).