From each of the following pairs of substances, use data in Appendix E to choose the one that is the stronger reducing agent: $$ \begin{array}{l}{\text { (a) } \mathrm{Fe}(s) \text { or } \mathrm{Mg}(s)} \\\ {\text { (b) } \mathrm{Ca}(s) \text { or } \mathrm{Al}(s)} \\ {\text { (c) } \mathrm{H}_{2}\left(g, \text { acidic solution ) or } \mathrm{H}_{2} \mathrm{S}(g)\right.} \\ {\text { (d) } \mathrm{BrO}_{3}^{-}(a q) \text { or } \mathrm{IO}_{3}^{-}(a q)}\end{array} $$

Short Answer

Expert verified
The stronger reducing agents in each pair are: (a) \(\mathrm{Mg}(s)\) (b) \(\mathrm{Ca}(s)\) (c) \(\mathrm{H}_{2}(g)\) (d) \(\mathrm{IO}_{3}^{-}(aq)\)

Step by step solution

01

Find the standard reduction potentials for each substance

First, we need to look for the standard reduction potentials of the given substances in Appendix E. Here are the values we need: - Fe(s): \(\mathrm{Fe^{2+}} + 2\mathrm{e^{-}} \rightarrow \mathrm{Fe}(s)\) ; E° = -0.44 V - Mg(s): \(\mathrm{Mg^{2+}} + 2\mathrm{e^{-}} \rightarrow \mathrm{Mg}(s)\) ; E° = -2.37 V - Ca(s): \(\mathrm{Ca^{2+}} + 2\mathrm{e^{-}} \rightarrow \mathrm{Ca}(s)\) ; E° = -2.87 V - Al(s): \(\mathrm{Al^{3+}} + 3\mathrm{e^{-}} \rightarrow \mathrm{Al}(s)\) ; E° = -1.66 V - H2(g): \(\mathrm{2H^+} + 2\mathrm{e^{-}} \rightarrow \mathrm{H}_{2}(g)\) ; E° = 0.00 V - H2S(g): \(\mathrm{2H^+} + \mathrm{H}_{2}\mathrm{S} \rightarrow 2\mathrm{H}_{2}\mathrm{O} + \mathrm{S}\) ; E° = +0.14 V - BrO3⁻(aq): \(\mathrm{BrO}_{3}^{-} + 6\mathrm{H^+} + 6\mathrm{e^{-}} \rightarrow \mathrm{Br^{-}} + 3\mathrm{H}_{2}\mathrm{O}\) ; E° = +1.52 V - IO3⁻(aq): \(\mathrm{IO}_{3}^{-} + 6\mathrm{H^+} + 6\mathrm{e^{-}} \rightarrow \mathrm{I^{-}} + 3\mathrm{H}_{2}\mathrm{O}\) ; E° = +0.54 V
02

Compare the standard reduction potentials

Now, let's compare the standard reduction potentials in each pair to determine which substance is the stronger reducing agent: - For (a), \(\mathrm{Fe}(s)\) has an E° of -0.44 V, and \(\mathrm{Mg}(s)\) has an E° of -2.37 V. Since the reduction potential of \(\mathrm{Mg}(s)\) is more negative, it is a stronger reducing agent. - For (b), \(\mathrm{Ca}(s)\) has an E° of -2.87 V, and \(\mathrm{Al}(s)\) has an E° of -1.66 V. \(\mathrm{Ca}(s)\) has a more negative standard reduction potential, making it a stronger reducing agent. - For (c), \(\mathrm{H}_{2}(g)\) has an E° of 0.00 V, while \(\mathrm{H}_{2}\mathrm{S}(g)\) has an E° of +0.14 V. Since \(\mathrm{H}_{2}(g)\) has a more negative standard reduction potential, it is a stronger reducing agent. - For (d), \(\mathrm{BrO}_{3}^{-}(aq)\) has an E° of +1.52 V, and \(\mathrm{IO}_{3}^{-}(aq)\) has an E° of +0.54 V. Here, \(\mathrm{IO}_{3}^{-}(aq)\) has a more negative standard reduction potential, making it a stronger reducing agent.
03

Write the answers

Based on the standard reduction potentials, the stronger reducing agents in each pair are: (a) \(\mathrm{Mg}(s)\) (b) \(\mathrm{Ca}(s)\) (c) \(\mathrm{H}_{2}(g)\) (d) \(\mathrm{IO}_{3}^{-}(aq)\)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Standard Reduction Potential
Understanding standard reduction potential is crucial for anyone studying redox reactions. It measures the tendency of a chemical species to acquire electrons and be reduced, expressed in volts (V). Each half-reaction in a redox process has an associated standard reduction potential, which is tabulated under standard conditions: a 25°C temperature, 1M solution concentration, and a pressure of 1 atmosphere for gases.

A more negative standard reduction potential indicates a greater tendency for a substance to lose electrons and be oxidized, making it a stronger reducing agent. Conversely, a more positive potential suggests a substance is more likely to gain electrons and be reduced.

To compare different substances' reducing power, as in the exercise, you can use their standard reduction potential values. The substance with the more negative E° value is the stronger reducing agent. This concept not only aids in solving homework problems but also has practical applications, such as in the design of batteries and electroplating processes.
Electrochemical Series
The electrochemical series, also known as the activity series, is a list of elements organized according to their standard reduction potential. At the top of the series are the elements with the most positive reduction potential, considered the weakest reducing agents. As you move down the series, the reduction potential becomes more negative, and the strength of the reducing agents increases.

This series is a powerful tool for predicting the outcome of chemical reactions. It helps in determining which elements will displace others in a chemical reaction. For instance, in the textbook exercise, by referring to the electrochemical series, it becomes apparent why magnesium (Mg) is a stronger reducing agent than iron (Fe), as magnesium appears lower in the series due to its more negative standard reduction potential.
Redox Reactions
Redox reactions are a family of reactions where reduction and oxidation occur simultaneously. Reduction involves the gain of electrons, while oxidation involves the loss of electrons. To remember this, you can use the mnemonic 'OIL RIG'—Oxidation Is Loss, Reduction Is Gain.

These reactions are fundamental to numerous processes in chemistry and biology, including cellular respiration and the functioning of batteries. Understanding which substances act as reducing agents or oxidizing agents is essential. Reducing agents donate electrons and are themselves oxidized, while oxidizing agents accept electrons and are reduced. In the context of our textbook exercise, once you grasp the concept of standard reduction potentials, you can easily identify the stronger reducing agent in a pair by looking at which substance will more readily donate electrons.

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Most popular questions from this chapter

From each of the following pairs of substances, use data in Appendix E to choose the one that is the stronger oxidizing agent: $$ \begin{array}{l}{\text { (a) } \mathrm{Cl}_{2}(g) \text { or } \mathrm{Br}_{2}(l)} \\ {\text { (b) } \mathrm{Zn}^{2+}(a q) \text { or } \mathrm{Cd}^{2+}(a q)} \\ {\text { (c) } \mathrm{Cl}^{-}(a q) \text { or } \mathrm{ClO}_{3}(a q)} \\ {\text { (d) } \mathrm{H}_{2} \mathrm{O}_{2}(a q) \text { or } \mathrm{O}_{3}(\mathrm{g})}\end{array} $$

A mixture of copper and gold metals that is subjected to electrorefining contains tellurium as an impurity. The standard reduction potential between tellurium and its lowest common oxidation state, \(\mathrm{Te}^{4+},\) is $$ \mathrm{Te}^{4+}(a q)+4 \mathrm{e}^{-} \longrightarrow \mathrm{Te}(s) \quad E_{\mathrm{red}}^{\circ}=0.57 \mathrm{V} $$ Given this information, describe the probable fate of tellurium impurities during electrorefining. Do the impurities fall to the bottom of the refining bath, unchanged, as copper is oxidized, or do they go into solution as ions? If they go into solution, do they plate out on the cathode?

A voltaic cell utilizes the following reaction: $$ \mathrm{Al}(s)+3 \mathrm{Ag}^{+}(a q) \longrightarrow \mathrm{Al}^{3+}(a q)+3 \mathrm{Ag}(s) $$ What is the effect on the cell emf of each of the following changes? (a) Water is added to the anode half-cell, diluting the solution. (b) The size of the aluminum electrode is increased. (c) A solution of AgNO \(_{3}\) is added to the cathode half-cell, increasing the quantity of Ag' but not changing its concentration. (d) HCl is added to the AgNO\(_{3}\) solution precipitating some of the Ag' as AgCl.

Iron corrodes to produce rust, \(\mathrm{Fe}_{2} \mathrm{O}_{3},\) but other corrosion products that can form are \(\mathrm{Fe}(\mathrm{O})(\mathrm{OH}),\) iron oxyhydroxide, and magnetite, \(\mathrm{Fe}_{3} \mathrm{O}_{4}\) . (a) What is the oxidation number of Fe in iron oxyhydroxide, assuming oxygen's oxidation number is \(-2 ?\) (b) The oxidation number for Fe in magnetite was controversial for a long time. If we assume that oxygen's oxidation number is \(-2,\) and Fe has a unique oxidation number, what is the oxidation number for Fe in magnetite? (c) It turns out that there are two different kinds of Fe in magnetite that have different oxidation numbers. Suggest what these oxidation numbers are and what their relative stoichiometry must be, assuming oxygen's oxidation number is - 2 .

The \(K_{s p}\) value for \(\mathrm{PbS}(s)\) is \(8.0 \times 10^{-28} .\) By using this value together with an electrode potential from Appendix E, determine the value of the standard reduction potential for the reaction $$ \mathrm{PbS}(s)+2 \mathrm{e}^{-} \longrightarrow \mathrm{Pb}(s)+\mathrm{S}^{2-}(a q) $$

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