For a redox reaction to be feasible, the standard electrode potential for the overall reaction should be positive. This can be determined by subtracting the standard electrode potential of the reduction half-reaction from the oxidation half-reaction. If the result is positive, the reaction is spontaneous.
Let's check each pair:
- For \( {Fe}^{3+} \) and \( {I}^- \):
\[
E^\circ = E^\circ_{{reduction}} ({Fe}^{3+}/{Fe}^{2+}) - E^\circ_{{oxidation}} ({I}^-/{I}_2)
\]
\[
E^\circ = 0.77 - (-0.54) = +1.31 \, {V} \quad ({Reaction is feasible})
\]
- For \( {Ag}^+ \) and \( {Cu} \):
\[
E^\circ = E^\circ_{{reduction}} ({Ag}^+/ {Ag}) - E^\circ_{{oxidation}} ({Cu}^{2+}/{Cu})
\]
\[
E^\circ = 0.80 - 0.34 = +0.46 \, {V} \quad ({Reaction is feasible})
\]
- For \( {Fe}^{3+} \) and \( {Cu} \):
\[
E^\circ = E^\circ_{{reduction}} ({Fe}^{3+}/ {Fe}^{2+}) - E^\circ_{{oxidation}} ({Cu}^{2+}/ {Cu})
\]
\[
E^\circ = 0.77 - 0.34 = +0.43 \, {V} \quad ({Reaction is feasible})
\]
- For \( {Ag} \) and \( {Fe}^{3+} \):
\[
E^\circ = E^\circ_{{reduction}} ({Fe}^{3+}/ {Fe}^{2+}) - E^\circ_{{oxidation}} ({Ag}/{Ag}^+)
\]
\[
E^\circ = 0.77 - 0.80 = -0.03 \, {V} \quad ({Reaction is not feasible})
\]
Thus, the redox reaction between \( {Ag} \) and \( {Fe}^{3+} \) is not feasible because the \( E^\circ \) value is negative.