Homework 11. Electrochemical Potential, Free Energy, and Applications

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HW11 Electrochemical Poten!al, Free Energy, and Applica!ons Homework 11 Electrochemical Potential, Free Energy, and Applications Question 1 What is the E for Zn(s) Zn (aq) Ce (aq) Ce (aq) + cell + 4+ 3+ Zn + e Zn E = 0.76 4+ 3+ Ce + e Ce E = +1.61.37 V 1.61 V 0.85 V.37 V Question Standard reduction potentials are established by comparison to the potential of which halfreaction? + H + e H + Li + e Li H O + e H + OH F + e F

Question 3 What is the standard cell potential of the strongest battery that could be made using these halfreactions? Br + e Br E = +1.07 3+ Fe + 3e Fe E = 0.04 3+ + Co + e Co E = +1.80 + Zn + e Zn E = 0.76.56 1.84.56 1.11 Question 4 What would be the E of an electrolytic cell made from the halfreactions below? AgCl(s) + e Ag(s) + Cl (aq) E = +0. V 3+ Al (aq) + 3e Al(s) E = 1.66 V 1.88 1.88 1.44 1.44 Question 5 Sodium is produced by the electrolysis of molten sodium chloride. What are the products at the anode and cathode, respectively? Na(l) and O (g)

O (g) and Na(l) Cl (g) and Na O(l) Cl (g) and Na(l) Question 6 The electrolysis of an aqueous sodium chloride solution using inert electrodes produces gaseous chlorine at one electrode. At the other electrode gaseous hydrogen is produced and the solution becomes basic around the electrode. What is the equation for the cathode halfreaction in the electrolytic cell? H O + e H + OH H + OH H O + e Cl Cl + e Cl + e Cl Question 7 The galvanic cell below uses the standard halfcells Mg + Mg and Zn + Zn, and a salt bridge containing KCl(aq).

Identify A and write the halfreaction that occurs in that compartment. + Zn(s); Zn (aq) + e Zn(s) + Zn(s); Zn(s) Zn (aq) + e + Mg(s); Mg(s) Mg (aq) + e + Mg(s); Mg (aq) + e Mg(s) Question 8 Refer to the diagram in question 7. What happens to the size of the electrode A during the operation of the cell? it decreases it increases it doesn't change There is no way to tell.

Question 9 Refer to the diagram in question 7. What should the voltmeter read? +4.30 V +3.40 V +.50 V +1.60 V Question 10 How many moles of Cl (g) are produced by the electrolysis of concentrated sodium chloride if.00 A are passed through the solution for 4.00 hours? The equation for this process (the "chloralkali" process) is given below. NaCl(aq) + H O(l) NaOH(aq) + H (g) + Cl (g) 0.98 mol 0.149 mol 0.0048 mol 0.0745 mol Question 11 A steel surface has been electroplated with 5.10g of vanadium (V, molar mass = 51 g/mol). If.90x10 C of charge were used, what was the original oxidation number of V? 4 + +1 +4 +3

Question 1 How long will it take to deposit 0.0035 moles of gold by the electrolysis of KAuCl (aq) using a current of 0.14 amperes? 4 106 min 70.7 min 53.0 min 6.5 min Question 13 Consider 3 electrolysis experiments: 1. One Faraday of electricity is passed through a solution of AgNO.. Two Faradays of electricity are passed through a solution of Zn(NO ). 3. Three Faradays of electricity are passed through a solution of Bi(NO ). Which of the following statements is true? 3 3 3 3 Equal numbers of moles of all three metals are produced. Equal masses of all three metals are produced. Twice as many moles of metallic zinc are produced than metallic silver. The reaction producing the smallest mass of metal is that of the silver solution. Question 14 What is for the halfreaction below? ClO + 6H (aq) 0.5Cl (g) + 3H O(l) E = +1.47 3 + 194 kj/mol 709 kj/mol

709,000 kj/mol 194,000 kj/mol Question 15 + For the reduction of Cu by Zn, G = 1 kj/mol and E = +1.10 V. If the coefficients in the chemical equation for this reaction are multiplied by, G = 44 kj/mol. Does this mean E for the cell would be +.0V? It is impossible to know without testing it empirically. Not enough information is given. No. Yes. Question 16 Consider the cell: + + Zn(s) Zn (aq) Fe (aq) Fe(s) If run at standard conditions, calculate the value of this cell. for the reaction that occurs when current is drawn from 31 kj/mol 30 kj/mol +6 kj/mol 6 kj/mol Question 17 Calculate the cell potential for a cell based on the reaction below: Cu(s) + Ag + (aq) Cu + (aq) + Ag(s)

when the concentrations are as follows: [Ag ] = 0.7 M [Cu + + ] = 0.9 M (The temperature is 5 C and E = 0.464 V.) 0.455 V 0.470 V 0.447 V 0.459 V Question 18 Consider the cell: Pb(s) PbSO (s) SO (aq, 0.60 M) H (aq, 0.70 M) H (g, 19.5 kpa) Pt 4 4 + If E for the cell is 0.36 V at 5 C, write the Nernst equation for the cell at this temperature. Question 19 A concentration cell consists of the same redox couples at the anode and the cathode and different concentrations of the ions in the respective compartments. Find the unknown concentration for the following cell: Pb(s) Pb + (aq,?) Pb + (aq, 0.1 M) Pb(s) E = 0.065 V

1.6 M 3 7.97 x 10 M 15.8 M 4 6.35 x 10 M Question 0 What is the ratio of [Co ] / [Ni ] when a battery built from the two halfreactions below reaches equilibrium? + Ni Ni E = 0.5 V + + + Co Co E = 0.8 V 0.31 0.10 10.33 3.0 Question 1 If E for the disproportionation of Cu (aq) to Cu for the reaction. + + (aq) and Cu(s) is +0.37 V at 5 C, calculate the equilibrium constant 3. x 10 1 1.3 x 10 3 1.8 x 10 6.4 x 10 Question

The standard potential of the cell: + 4 4 Pb(s) PbSO (s) SO (aq) Pb (aq) Pb(s) is +0.3 V at 5 C. Calculate the equilibrium constant for the reaction of 1 M Pb (aq) with 1 M SO (aq). + 4 8.0 x 10 17 7.7 x 10 3 1.7 x 10 8 6.0 x 10 7 Question 3 The standard voltage of the cell: + Ag(s) AgBr(s) Br (aq) Ag (aq) Ag(s) is +0.73 V at 5 C. Calculate the equilibrium constant for the cell reaction. 5.1 x 10 14. x 10 1 4.6 x 10 13.0 x 10 15 Question 4 The equilibrium constant for the reaction below: Hg(l) + Cl (aq) + Ni (aq) Ni(s) + Hg Cl (s) 0 + is 5.6x10 at 5 C. Calculate the value of E for this reaction. cell 1.14 V 0.57 V +0.57 V

+1.14 V Question 5 You turn on a flashlight containing brand new NiCad batteries and keep it lit for a minute or two. Which of the following can be considered TRUE regarding the chemical state of these batteries? I. for the battery reaction is negative. II. E > 0 cell III. The batteries are at equilibrium. IV. E is substantially decreasing during this time. cell All but IV III only All but III I and II only All are true. Question 6 Which of the following batteries are rechargeable? I. Alkaline Battery II. NiMH Battery III. Lithium Battery IV. Lithium Ion Battery V. LeadAcid Battery II, IV, and V only I and III only II and V only

All except I Question 7 Here is the discharge reaction for an alkaline battery: Zn(s) + MnO (s) + H O(l) Zn(OH) (s) + Mn O (s) 3 Which species is reduced as the battery is discharged? Mn O (s) 3 H O(l) Zn(s) MnO (s) Question 8 What metal (in various oxidation states) is present at both the cathode and the anode in a typical car battery? lead nickel zinc lithium cadmium Question 9 The net redox reaction in a fuel cell is given below: H + O H O What is the reaction at the anode in a fuel cell?

H + H + e + H + OH H O O O + 4e + O + 4e O Question 30 Which of the following is NOT an important characteristic of the proton exchange membrane (PEM) in a PEM fuel cell? It must withstand the high operating temperatures of the fuel cell. It physically separates the halfreactions. It is permeable to protons. It must be stable in an acidic environment. It is coated with catalysts that increase the rates of both the oxidation and reduction reactions. Not saved Submit Quiz