Chapter 21: Problem 2
Why must an electrochemical process involve a redox reaction?
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Chapter 21: Problem 2
Why must an electrochemical process involve a redox reaction?
These are the key concepts you need to understand to accurately answer the question.
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Electrolysis of molten \(\mathrm{MgCl}_{2}\) is the final production step in the isolation of magnesium from seawater by the Dow process (Section 22.4). Assuming that \(45.6 \mathrm{~g}\) of Mg metal forms, (a) How many moles of electrons are required? (b) How many coulombs are required? (c) How many amps will produce this amount in \(3.50 \mathrm{~h} ?\)
Define oxidation and reduction in terms of electron transfer and change in oxidation number.
Both a D-sized and an AAA-sized alkaline battery have an output of \(1.5 \mathrm{~V}\). What property of the cell potential allows this to occur? What is different about these two batteries?
Comparing the standard electrode potentials \(\left(E^{\circ}\right)\) of the Group \(1 \mathrm{~A}(1)\) metals \(\mathrm{Li}, \mathrm{Na},\) and \(\mathrm{K}\) with the negative of their first ionization energies reveals a discrepancy: Ionization process reversed: \(\mathrm{M}^{+}(g)+\mathrm{e}^{-} \rightleftharpoons \mathrm{M}(g)\) Electrode reaction: $$\mathrm{M}^{+}(a q)+\mathrm{e}^{-} \rightleftharpoons \mathrm{M}(s)$$ $$\begin{array}{lcc}\text { Metal } & -\text { IE (kJ/mol) } & E^{\circ} \text { (V) } \\\\\hline \text { Li } & -520 & -3.05 \\\\\text { Na } & -496 & -2.71 \\\ \text { K } & -419 & -2.93\end{array}$$ Note that the electrode potentials do not decrease smoothly down the group, whereas the ionization energies do. You might expect that, if it is more difficult to remove an electron from an atom to form a gaseous ion (larger IE), then it would be less difficult to add an electron to an aqueous ion to form an atom (smaller \(E^{\circ}\) ), yet \(\mathrm{Li}^{+}(a q)\) is more difficult to reduce than \(\mathrm{Na}^{+}(a q) .\) Applying Hess's law, use an approach similar to a Born-Haber cycle to break down the process occurring at the electrode into three steps, and label the energy involved in each step. How can you account for the discrepancy?
A voltaic cell is constructed with an \(\mathrm{Sn} / \mathrm{Sn}^{2+}\) half- cell and a \(\mathrm{Zn} / \mathrm{Zn}^{2+}\) half-cell. The zinc electrode is negative. (a) Write balanced half-reactions and the overall cell reaction. (b) Diagram the cell, labeling electrodes with their charges and showing the directions of electron flow in the circuit and of cation and anion flow in the salt bridge.
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