Final answer:
The standard cell potential for the given reaction is 0.51 V.
Step-by-step explanation:
The standard cell potential for the cell whose reaction is Ni2+(aq) + Zn(s) → Zn2+(aq) + Ni(s) can be calculated using the standard reduction potentials provided.
We need to identify the reduction half-reactions for Ni2+ and Zn2+.
The reduction half-reaction for Ni2+(aq) is Ni2+(aq) + 2e- → Ni(s) with a standard reduction potential of -0.25 V.
The reduction half-reaction for Zn2+(aq) is Zn2+(aq) + 2e- → Zn(s) with a standard reduction potential of -0.76 V.
To calculate the standard cell potential, we subtract the reduction potential of the anode (Zn/Zn2+) from the reduction potential of the cathode (Ni/Ni2+).
Therefore, the standard cell potential is (-0.25 V) - (-0.76 V) = 0.51 V.