Arranging Oxidizing and Reducing Agents in Order of Increasing Strength (a) Arrange the following oxidizing agents in order of increasing strength under standard-state conditions: Br2(aq), Fe^3+(aq), Cr2O7^2-(aq). (b) Arrange the following reducing agents in order of increasing strength under

Question

Arranging Oxidizing and Reducing Agents in Order of Increasing Strength
(a) Arrange the following oxidizing agents in order of increasing strength under
standard-state conditions: [latex]Br_{2}(aq), Fe^{3+}(aq), Cr_{2}O^{2-}_{7} (aq).[/latex]
(b) Arrange the following reducing agents in order of increasing strength under
standard-state conditions: Al(s), Na(s), Zn(s).

STRATEGY
Pick out the half-reactions in Table 19.1 that involve the given oxidizing or reducing agents, and list them, along with their E° values, in the order in which they occur in the table. The strength of an oxidizing agent increases as the E° value increases, and the strength of a reducing agent increases as the E° value decreases.

Accepted Answer

(a) List the half-reactions that involve [latex]Br_{2}, Fe^{3+}, and Cr_{2}O^{2-}_{7} [/latex]in the order in which they occur in Table 19.1:

[latex]Cr_{2}O^{2-}_{7}(aq) + 14 H^{+}(aq) + 6 e^{-} → 2 Cr^{3+}(aq) + 7 H_{2}O(l) [/latex] E° = 1.36 V

[latex]Br_{2}(aq) + 2 e^{-} → 2 Br^{-}(aq)[/latex] E° = 1.09 V
[latex]Fe^{3+}(aq) + e^{-} → Fe^{2+}(aq)[/latex] E° = 0.77 V

You can see that [latex]Cr_{2}O^{2-}_{7}[/latex] has the greatest tendency to be reduced (largest E°) and [latex]Fe^{3+}[/latex] has the least tendency to be reduced (smallest E°). The species that has the greatest tendency to be reduced is the strongest oxidizing agent, so oxidizing strength increases in the order [latex]Fe^{3+} < Br_{2} < Cr_{2}O^{2-}_{7} [/latex]. As a shortcut, simply note that the strength of the oxidizing agents, listed on the left side of Table 19.1, increases on moving up in the table.

(b) List the reduction half-reactions that involve Al(s), Na(s), and Zn(s) in the order in which they occur in Table 19.1:

[latex]Zn^{2+}(aq) + 2 e^{-} → Zn(s)[/latex] E° = -0.76 V
[latex]Al^{3+}(aq) + 3 e^{-} → Al(s)[/latex] E° = -1.66 V
[latex]Na^{+}(aq) + e^{-} → Na(s)[/latex] E° = -2.71 V

The last half-reaction has the least tendency to occur in the forward direction (most negative E°) and the greatest tendency to occur in the reverse direction.

[latex]Zn(s) → Zn^{2+}(aq) + 2 e^{-}[/latex] E° = + 0.76 V
[latex]Al(s) → Al^{3+}(aq) + 3 e^{-}[/latex] E° = + 1.66 V
[latex]Na(s0 → Na^{+}(aq) + e^{-}[/latex] E° = + 2.71 V

Therefore, Na is the strongest reducing agent, and reducing strength increases in the order Zn < Al < Na. As a shortcut, note that the strength of the reducing agents, listed on the right side of Table 19.1, increases on moving down in the table.

TABLE 19.1 Standard Reduction Potentials at 25 °C
	Reduction Half-Reaction	E° (V)
	$F_{2}(g) + 2 e^{-} → 2F^{-}(aq)$	2.87
	$H_{2}O_{2}(aq) + 2 H^{+}(aq) + 2 e^{-} → 2H_{2}O(l)$	1.78
	$MnO^{-}_{4}(aq) + 8 H^{+}(aq) + 5 e^{-} → Mn^{2+}(aq) + 4 H_{2}O(l)$	1.51
	$Cl_{2}(g) + 2 e^{-} → 2Cl^{-}(aq)$	1.36
	$Cr_{2}O^{2-}_{7}(aq) + 14 H^{+}(aq) + 6 e^{-} → 2 Cr^{3+}(aq) + 7 H_{2}O(l)$	1.36
	$O_{2}(g) + 4 H^{+}(aq) + 4 e^{-} → 2 H_{2}O(l)$	1.23
	$Br_{2}(aq) + 2 e^{-} → 2 Br^{-}(aq)$	1.09
	$Ag^{+}(aq) + e^{-} → Ag(s)$	0.80
	$Fe^{3+}(aq) + e^{-} → Fe^{2+}(aq)$	0.77
	$O_{2}(g) + 2 H^{+}(aq) + 2 e^{-} → H_{2}O_{2}(aq)$	0.70
	$I_{2}(s) + 2 e^{-} → 2 I^{-}(aq)$	0.54
	$O_{2}(g) + 2 H_{2}O(l) + 4 e^{-} → 4 OH^{-}(aq)$	0.40
	$Cu^{2+}(aq) + 2 e^{-} → Cu(s)$	0.34
	$Sn^{4+}(aq) + 2 e^{-} → Sn^{2+}(aq)$	0.15
	$2 H^{+}(aq) + 2 e^{-} → H_{2}(g)$	0
	$Pb^{2+}(aq) + 2 e^{-} → Pb(s)$	-0.13
	$Ni^{2+}(aq) + 2 e^{-} → Ni(s)$	-0.26
	$Cd^{2+}(aq) + 2 e^{-} → Cd(s)$	-0.40
	$Fe^{2+}(aq) + 2 e^{-} → Fe(s)$	-0.45
	$Zn^{2+}(aq) + 2 e^{-} → Zn(s)$	-0.76
	$2 H_{2}O(l) + 2 e^{-} → H_{2}(g) + 2 OH^{-}(aq)$	-0.83
	$Al^{3+}(aq) + 3 e^{-} → Al(s)$	-1.66
	$Mg^{2+}(aq) + 2 e^{-} → Mg(s)$	-2.37
	$Na^{+}(aq) + e^{-} → Na(s)$	-2.71
	$Li^{+}(aq) + e^{-} → Li(s)$	-3.04

Question 19.6: Arranging Oxidizing and Reducing Agents in Order of Increasi...

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