CHAPTER 19- Practice Exercise Dr. PAHLAVAN

Electrochemistry

Problem #1. Balance each of the following equations, identify the substance acting as oxidizing or reducing agent.

Identify the oxidation half and reduction half reactions.

a) MnO4-(aq) + H2O2(aq) à Mn2+(aq) + O2(g) (acidic solution) b) S2O32-(aq) + I2(aq) à SO42-(aq) + I-(aq) (basic solution)

c) HSO3-(aq) + NO3-(aq) à HSO4-(aq) + NO(g) (acidic) d) Ag2S(s) + NO3-(aq) àAg+(aq) + S(s) + NO(g) (basic) e) Br2(l) + AsO2-(aq) à Br-(aq) + AsO43-(aq) (acidic) f) MnO4 – (aq) + Mn 2+ (aq)à MnO2 (s)

g) IO3 – (aq)+ I – (aq)+ Cl – (aq)à ICl2 (g)

Problem #2. Given the following data:

E0red

Ca2+(aq) + 2e- à Ca(s) -2.87 v

Zn2+(aq) + 2e- à Zn(s) -0.76 v

Co2+(aq) + 2e- à Co(s) -0.28 v

Sn2+(aq) + 2e- à Sn(s) -0.14 v

Pb2+(aq) + 2e- -à Pb(s) -0.13 v

Arrange the metals in order of increasing oxidation under standard state conditions.

Problem #3. Consider the following half reactions:

Na+(aq) + e- à Na(s) , E0red = -2.71 v

Zn2+(aq) + 2e- à Zn(s) , = -0.76 v

Fe2+(aq) + 2e- à Fe(s) , = -0.44 v

a) which one is the most active metal? b) which one is the most oxidizing agent? c) which one oxidized the best?

Problem #4. Given the following E0 values at 250C.

Fe2+ + 2e- à Fe E0red = -0.44 v , Sn2+ + 2e- à Sn E0red = -0.14 v

Determine if the following reaction is spontaneous. Fe2+ + Sn à Fe + Sn2+ .

Also, identify the anode and the cathode for the reaction that spontaneously occurs.

Problem #5. A voltaic cell is to be designed at standard state conditions using the

following two half- reactions.

Mn2+(aq) + 2e- à Mn(s) E0red = -1.18 v , Cr3+(aq) + 3e- à Cr(s) E0red = -0.74 v

a)  Write chemical equation describing the spontaneous cell reaction and calculate E0cell.

b)  Draw a figure representing the voltaic cell, using these reactions. Label all components and indicate the direction of e- flow.

Problem #6. Calculate E0 for the following unbalanced reactions. Indicate if the reactions are spontaneous as

written.

a) Al3+(aq) + Mg(s) à Al(s) + Mg2+(aq) b) ClO4-(aq) +Mn2+(aq) + H2O(l) à MnO4-(aq) + H+(aq) + ClO3-(aq)

Given data:

Al3+ + 3e- à Al E0red = -1.66 v

Mg2+ + 2e- à Mg = -2.37 v

MnO4- + 8H+ +5e- à Mn2+ + 4H2O = 1.51 v

ClO4- + 2H+ +2e- à ClO3- + H2O = 1.19 v

Problem #7. Calculate DG0, K, and E at 298 K for the reaction, 2Br -(aq) + Cl2(g) à Br2(l) + 2Cl -(aq)

given E0= 0.300 v and the following concentrations: [Br -]= 0.10 M , PCl2 = 0.50 atm , and [Cl-] =0.010 M.

Problem #8. Calculate the voltage generated by a hydrogen-concentration cell utilizing the following

concentrations: H2(2 atm) + 2H+(0.1 M) ßà H2(0.5 atm) + 2H+(0.5M)

A concentration cell involves a reaction having the same reactants as products, but with differing concentrations. In which direction is the reaction spontaneous?

Problrm #9. Given the following data:

Fe2+ + 2e- à Fe E0red = -0.44 v , Ag+ + e- à Ag E0red = 0.80 v

Answer the following questions with respect to the reaction ; Fe2+(aq) + 2 Ag(s) à Fe(s) + 2 Ag+(aq)

a) what is E0 for the reaction? b) is the reaction spontaneous at standard state conditions?

c) what is the value of E at equilibrium? d) what is the value of equilibrium constant at 250C ?

e) if [Fe2+]=0.100 M and [Ag+] = 0.0100 M , what is the magnitude of E at 250C?

Problem #10. Given the following reaction, 2 Al(s) + 3 Mn2+(aq) à 2 Al3+(aq) + 3 Mn(s)

what is the concentration of Al3+ if E0cell = 0.48 v , Ecell = 0.47 v and the concentration of Mn2+ is 0.49 M at 250C?

Problem #11. Given that K = 3.76x1014 for the reaction; 2 Fe3+(aq) + Cu(s) à 2 Fe2+(aq) + Cu2+(aq)

at 250C, what is the E0 for the reaction?

Problem #12. Given the following data:

Ag+ + e- à Ag E0red = 0.80 v , Al3+ + 3e- à Al E0red = -1.66 v

a) what is E0cell for a voltaic using the two half-reactions at 250C?

b) what is Ecell if [Ag+] = 0.50 M and [Al3+] = 1.0 M at 250C?

c) what is K for the reaction at 250C?

Problem #13. Given the following data:

Fe2+(aq) + 2e- à Fe(s) E0red = -0.44 v , Cr3+(aq) + e- à Cr2+(aq) E0red = -0.407 v

Answer the following questions:

a) What is the spontaneous cell reaction when a voltaic cell is constructed using these two half- reactions?

b) What is the E0 for the reaction? c) What is equilibrium constant and DG0?

d) If the concentration of Cr3+ and Cr2+ are each 0.10 M and the cell potential is 0.100 v, what is the concentration of

Fe2+?

e) What is E for the reaction at equilibrium?

Problem #14. How many grams of cadmium are consumed in a nickel-cadmium battery if it operates at a constant current of 0.20 amp for 30.00 sec? The half-reaction of interest is; Cd (s) + 2 OH-(aq) à Cd(OH)2(s) + 2e-

Problem #15. How long must a current of 5.00 A be applied to a solution of Ag + to produce 10.5 g silver metal?

Problem #16. Consider a current of 10.0 amps is passed for 30.0 minutes through a solution containing Cu2+. Calculate a) quantity of charge in coulombs b) number of moles of electrons

c) number of moles of copper metals d) grams mass of copper that is plate out

1