Final answer:
The cell reaction for the given cell is Al(s) + Cd²⁺(aq) → Al³⁺(aq) + Cd(s). The standard cell potential is 2.57 V, indicating that the reaction is spontaneous at standard conditions.
Step-by-step explanation:
The cell reaction for a cell made from an anode half-cell containing a cadmium electrode in 1 M cadmium nitrate and a cathode half-cell consisting of an aluminum electrode in 1 M aluminum nitrate solution is:
Cell Reaction: Al(s) + Cd²⁺(aq) → Al³⁺(aq) + Cd(s)
The standard cell potential at 25 °C is 2.57 V. Based on the positive value of the standard cell potential, we can conclude that the reaction is spontaneous at standard conditions.