Final answer:
The redox reaction will proceed in the direction where iron is oxidized and silver is reduced, which, according to the standard reduction potentials provided, is Option 2: Ag Fe → Fe Ag2 (corrected to 2Ag+ + Fe(s) → 2Ag(s) + Fe2+(aq)).
Step-by-step explanation:
The question deals with the direction in which a redox reaction will proceed based on the given standard reduction potentials. We have been given two half-reactions with their respective potentials: the reduction of silver, Ag/Ag+, which has a more positive standard reduction potential of 0.80 V, and the oxidation of iron, Fe/Fe2+, which has a negative standard reduction potential of -0.44 V.
To find the direction in which the reaction will proceed, we can use the formula:
Since the more positive Ecathode corresponds to a reduction reaction and the more negative Eanode corresponds to an oxidation reaction, the silver reaction will act as the cathode (reduction), and the iron reaction will act as the anode (oxidation). The cell potential will be positive, indicating that the reaction is spontaneous. Hence, the reaction will proceed in the direction:
Fe(s) + 2Ag+(aq) → Fe2+(aq) + 2Ag(s)
The correct choice based on the options given is Option 2: Ag Fe → Fe Ag2, which should be corrected to 2Ag+ + Fe(s) → 2Ag(s) + Fe2+(aq).