Chapter 20

Chemistry A Molecular Approach · 41 exercises

Problem 1

In electrochemistry, spontaneous redox reactions are used for what purpose?

3 step solution

Problem 2

In electrochemistry, what kind of reaction can be driven by electricity?

3 step solution

Problem 3

Give the basic definitions of oxidation and reduction and explain the basic procedure for balancing redox reactions.

10 step solution

Problem 4

Explain the difference between a voltaic (or galvanic) electrochemical cell and an electrolytic cell.

3 step solution

Problem 5

What reaction (oxidation or reduction) occurs at the anode of a voltaic cell? What is the sign of the anode? Do electrons flow toward or away from the anode?

3 step solution

Problem 6

What reaction (oxidation or reduction) occurs at the cathode of a voltaic cell? What is the sign of the cathode? Do electrons flow toward or away from the cathode?

3 step solution

Problem 7

Explain the purpose of a salt bridge in an electrochemical cell.

5 step solution

Problem 8

What unit is used to measure the magnitude of electrical current? What unit is used to measure the magnitude of a potential difference? Explain how electrical current and potential difference differ.

3 step solution

Problem 9

What is the definition of the standard cell potential ( \(E_{\text {cell }}^{\circ}\) )? What does a large positive standard cell potential imply about the spontaneity of the redox reaction occurring in the cell? What does a negative standard cell potential imply about the reaction?

3 step solution

Problem 10

Describe the basic features of a cell diagram (or line notation) for an electrochemical cell.

5 step solution

Problem 11

Why do some electrochemical cells employ inert electrodes such as platinum?

4 step solution

Problem 12

Describe the standard hydrogen electrode (SHE) and explain its use in determining standard electrode potentials.

3 step solution

Problem 13

How is the cell potential of an electrochemical cell ( \(E_{\text {cell }}^{\circ}\) ) related to the potentials of the half-cells?

3 step solution

Problem 14

Does a large positive electrode potential indicate a strong oxidizing agent or a strong reducing agent? What about a large negative electrode potential?

3 step solution

Problem 17

Explain why \(E_{\mathrm{cell}}^{\circ}, \Delta G_{\mathrm{rxn}}^{\circ},\) and \(K\) are all interrelated.

5 step solution

Problem 20

Use the Nernst equation to show that \(E_{\text {cell }}=E_{\text {cell }}^{\circ}\) under standard conditions.

3 step solution

Problem 23

What are the anode and cathode reactions in a lead-acid storage battery? What happens when the battery is recharged?

3 step solution

Problem 26

Explain how a fuel-cell breathalyzer works.

3 step solution

Problem 27

List some applications of electrolysis.

4 step solution

Problem 28

The anode of an electrolytic cell must be connected to which terminal-positive or negative-of the power source?

3 step solution

Problem 31

Why does the electrolysis of an aqueous sodium chloride solution produce hydrogen gas at the cathode?

4 step solution

Problem 32

What is overvoltage in an electrochemical cell? Why is it important?

3 step solution

Problem 33

How is the amount of current flowing through an electrolytic cell related to the amount of product produced in the redox reaction?

3 step solution

Problem 35

Explain the role of each of the following in promoting corrosion: moisture, electrolytes, and acids.

3 step solution

Problem 37

Balance each redox reaction occurring in acidic aqueous solution. MISSED THIS? Read Section \(20.2 ;\) Watch \(\mathrm{KCV} 20.2,\) WE 20.2 a. \(\mathrm{K}(s)+\mathrm{Cr}^{3+}(a q) \longrightarrow \mathrm{Cr}(s)+\mathrm{K}^{+}(a q)\) b. \(\mathrm{Al}(s)+\mathrm{Fe}^{2+}(a q) \longrightarrow \mathrm{Al}^{3+}(a q)+\mathrm{Fe}(s)\) c. \(\mathrm{BrO}_{3}^{-}(a q)+\mathrm{N}_{2} \mathrm{H}_{4}(g) \longrightarrow \mathrm{Br}^{-}(a q)+\mathrm{N}_{2}(g)\)

8 step solution

Problem 39

Balance each redox reaction occurring in acidic aqueous solution. MISSED THIS? Read Section 20.2; Watch KCV 20.2, IWE 20.2 a. \(\mathrm{PbO}_{2}(s)+\mathrm{I}^{-}(a q) \longrightarrow \mathrm{Pb}^{2+}(a q)+\mathrm{I}_{2}(s)\) b. \(\mathrm{SO}_{3}^{2-}(a q)+\mathrm{MnO}_{4}^{-}(a q) \longrightarrow \mathrm{SO}_{4}^{2-}(a q)+\mathrm{Mn}^{2+}(a q)\) c. $\mathrm{S}_{2} \mathrm{O}_{3}^{2-}(a q)+\mathrm{Cl}_{2}(g) \longrightarrow \mathrm{SO}_{4}^{2-}(a q)+\mathrm{Cl}^{-}(a q)

17 step solution

Problem 40

Balance each redox reaction occuring in acidic aqueous solution. a. \(\mathrm{I}^{-}(a q)+\mathrm{NO}_{2}^{-}(a q) \longrightarrow \mathrm{I}_{2}(s)+\mathrm{NO}(g)\) b. \(\mathrm{ClO}_{4}^{-}(a q)+\mathrm{Cl}^{-}(a q) \longrightarrow \mathrm{ClO}_{3}^{-}(a q)+\mathrm{Cl}_{2}(g)\) c. \(\mathrm{NO}_{3}^{-}(a q)+\mathrm{Sn}^{2+}(a q) \longrightarrow \mathrm{Sn}^{4+}(a q)+\mathrm{NO}(g)\)

8 step solution

Problem 79

Make a sketch of a concentration cell employing two \(\mathrm{Zn} / \mathrm{Zn}^{2+}\) halfcells. The concentration of \(\mathrm{Zn}^{2+}\) in one of the half-cells is \(2.0 \mathrm{M}\), and the concentration in the other half- cell is \(1.0 \times 10^{-3} \mathrm{M}\). Label the anode and the cathode and indicate the half-reaction occurring at each electrode. Also indicate the direction of electron flow.

5 step solution

Problem 81

A concentration cell consists of two \(\mathrm{Sn} / \mathrm{Sn}^{2+}\) half- cells. The cell has a potential of \(0.10 \mathrm{~V}\) at \(25^{\circ} \mathrm{C} .\) What is the ratio of the \(\mathrm{Sn}^{2+}\) concentrations in the two half-cells?

5 step solution

Problem 87

Determine whether or not each metal, if coated onto iron, would prevent the corrosion of iron. a. Zn b. \(\mathrm{Sn}\) c. Mn

4 step solution

Problem 91

Write equations for the half-reactions that occur in the electrolysis of molten potassium bromide.

3 step solution

Problem 92

What products are obtained in the electrolysis of molten NaI?

5 step solution

Problem 93

Write equations for the half-reactions that occur in the electrolysis of a mixture of molten potassium bromide and molten lithium bromide.

4 step solution

Problem 95

Write equations for the half-reactions that occur at the anode and cathode for the electrolysis of each aqueous solution. a. \(\operatorname{NaBr}(a q)\) b. \(\mathrm{PbI}_{2}(a q)\) c. \(\mathrm{Na}_{2} \mathrm{SO}_{4}(a q)\)

9 step solution

Problem 97

Make a sketch of an electrolysis cell that electroplates copper onto other metal surfaces. Label the anode and the cathode and indicate the reactions that occur at each.

5 step solution

Problem 108

Consider the molecular view of an electrochemical cell involv- ing the overall reaction: $$ \mathrm{Zn}(s)+\mathrm{Ni}^{2+}(a q) \longrightarrow \mathrm{Zn}^{2+}(a q)+\mathrm{Ni}(s) $$ Draw a similar sketch of the cell after it has generated a substantial amount of electrical current.

5 step solution

Problem 123

The molar mass of a metal (M) is \(50.9 \mathrm{~g} / \mathrm{mol} ;\) it forms a chloride of unknown composition. Electrolysis of a sample of the molten chloride with a current of 6.42 A for 23.6 minutes produces \(1.20 \mathrm{~g}\) of \(\mathrm{M}\) at the cathode. Determine the empirical formula of the chloride.

5 step solution

Problem 124

A metal forms the fluoride \(\mathrm{MF}_{3}\). Electrolysis of the molten fluoride by a current of 3.86 A for 16.2 minutes deposits \(1.25 \mathrm{~g}\) of the metal. Calculate the molar mass of the metal.

6 step solution

Problem 130

To what \(\mathrm{pH}\) should you adjust a standard hydrogen electrode to get an electrode potential of \(-0.122 \mathrm{~V}\) ? (Assume that the partial pressure of hydrogen gas remains at 1 atm.

4 step solution

Problem 138

An electrochemical cell has a positive standard cell potential but a negative cell potential. Which statement is true for the cell? a. \(K>1 ; Q>K\) b. \(K<1 ; Q>K\) c. \(K>1 ; Q

4 step solution

Problem 140

A redox reaction employed in an electrochemical cell has a negative \(\Delta G_{\mathrm{rxn}}^{\circ} .\) Which statement is true? a. \(E_{\text {cell }}^{\circ}\) is positive; \(K<1\) b. \(E_{\text {cell }}^{\circ}\) is positive; \(K>1\) c. \(E_{\text {cell }}^{\circ}\) is negative; \(K>1\) d. \(E_{\text {cell }}^{\circ}\) is negative; \(K<1\)

3 step solution

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