aula #20 · aula #20. electrochemistry electrochemical processes are oxidation-reduction reactions...

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Page 1: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Aula #20

Page 2: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

Electrochemical processes are oxidation-reduction reactions in which:

• the energy released by a spontaneous reaction is converted to electricity

• electrical energy is used to cause a nonspontaneous reaction to occur

Page 3: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

Zn (s) | Zn2+ (1 M) || H+ (1 M) | H2 (1 atm) | Pt (s)

E0 = 0 V

Zn2+ (1 M) + 2e- Zn E0 = -0.76 V

(E0 = 0 V) E0 = 0 V

+

+Reduction Reaction

Page 4: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

Standard Reduction Potentials

Zn (s) | Zn2+ (1 M) || H+ (1 M) | H2 (1 bar) | Pt (s)

2e- + 2H+ (1 M) H2 (1 bar)

Zn (s) Zn2+ (1 M) + 2e-Anode (oxidation):

Cathode (reduction):

Zn (s) + 2H+ (1 M) Zn2+ + H2 (1 bar)

E0 = 0 V

E0 = 0 V

Page 5: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Cu2++ Zn(s) Cu(s) + Zn2+

Electrochemistry

Page 6: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Galvanic Cells

The difference in electrical potential between the anode and cathode is called:

• cell voltage

• electromotive force (emf)

• cell potential

Cell Diagram

Zn (s) + Cu2+ (aq) Cu (s) + Zn2+ (aq)

[Cu2+] = 1 M & [Zn2+] = 1 M

Zn (s) | Zn2+ (1 M) || Cu2+ (1 M) | Cu (s)

anode cathode

Electrochemistry

Oxidation reaction Reduction reaction

Page 7: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

Zn (s) + Cu2+ (aq) Cu (s) + Zn2+ (aq)

E0 = Ecathode - Eanodecell

0 0

Cell Potentials

The Nernst Equation

The Nernst Equation allows us to calculate the voltage of a "non-standard" Voltaic/Galvanic cell

= 96,485 C/mol

F...constante de Faraday

E0 = 0.35 – (-0.76) = 1.11 Vcell

Page 8: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

Zn (s) + Cu2+ (aq) Cu (s) + Zn2+ (aq)

E0 = Ecathode - Eanodecell

0 0Cell Potentials

[Cu2+]

[Zn2+]

The Nernst Equation

The Nernst Equation allows us to calculate the voltage of a "non-standard" Voltaic/Galvanic cell

= 96,485 C/molF...constante de Faraday

E0 = 0.35 – (-0.76) cell

Page 9: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

DG0 = -RT ln K = -nFEcell0

Will the following reaction occur spontaneously at 250C if [Fe2+] = 0.60 M and [Cd2+] = 0.010 M?

Fe2+ (aq) + Cd (s) Fe (s) + Cd2+ (aq)

E0 = -0.44 – (-0.40)

E0 = -0.04 V -

0.0257 Vn

ln QE0

E =

-0.0257 V

2ln -0.04 VE =

0.0100.60

E = 0.013 V

E > 0 Spontaneous

Page 10: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

Page 11: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

Page 12: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

Page 13: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

DG0 = -RT ln K = -nFEcell0

The Effect of Concentration on Cell Emf

DG = DG0 + RT ln Q DG = -nFE DG0 = -nFE0

-nFE = -nFE0 + RT ln Q

E = E0

- ln QRTnF

Nernst equation

Page 14: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

DG0 = -RT ln K

DG0 = -nF.Ecell

0

n = number of moles of electrons in reaction

F = 96,485J

V • mol= 96,485 C/mol

F...constante de Faraday

Page 15: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

DG0 = -RT ln K

DG0 = -nF.Ecell

0

n = number of moles of electrons in reaction

F= 96,485 C/mol

F...constante de Faraday

Zn (s) + Cu2+ (aq) Cu (s) + Zn2+ (aq)

anode cathode

Oxidation reaction Reduction reaction

Page 16: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

ElectrochemistryF...constante de Faraday

Zn (s) + Cu2+ (aq) Cu (s) + Zn2+ (aq)

anode cathode

Oxidation reaction Reduction reaction

DG0 = -nF.Ecell

0

F= 96,485 C/mol

[Cu2+]

[Zn2+]

1/Q

Page 17: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

DG0 = -nFEcell

0 F...constante de Faraday

96,485 C/mol

DG0 = -RT ln K = -nFEcell0

Ecell0 =

RTnF

ln K(8.314 J/K•mol)(298 K)

n (96,485 J/V•mol)ln K=

=0.0257 V

nln KEcell

0 =0.0592 V

nlog KEcell

0T= 298 K

Page 18: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

DG0 = -RT ln K = -nFEcell0

Page 19: Aula #20 · Aula #20. Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity

Electrochemistry

DG0 = -RT ln K = -nFEcell0

2e- + Fe2+ Fe

2Ag 2Ag+ + 2e-Oxidation:

Reduction:

What is the equilibrium constant for the following reaction at 250C?

Fe2+ (aq) + 2Ag (s) Fe (s) + 2Ag+ (aq)

=0.0257 V

nln KEcell

0

E0 = -0.44 – (0.80)

E0 = -1.24 V

0.0257 V

x nE0cellexpK =

n = 2

0.0257 V

x 2-1.24 V= exp K = 1.23 x 10-42

E0 = EFe/Fe – EAg /Ag0 02+

+

=0.0257 V

nln KEcell

0