Electrochemistry
Electrochemistry
Electrochemistry
deals with interconversion between chemical and electrical energy
involves redox reactions
Redox reactions (quick review)
Redox reactions (quick review)
Oxidation
loss of electrons
Reduction
gain of electrons
Reducing agent
donates the electrons and is oxidized
Oxidizing agent
Redox Reactions
Redox Reactions
Direct redox reaction
Oxidizing and reducing agents are mixed together
Indirect redox reaction
Oxidizing and reducing agents are separated but connected electrically
• Example
– Zn and Cu2+ can react indirectly
Basis for electrochemistry
Electrochemistry Terminology
Electrochemistry Terminology
Electrochemical Cell -- a device that converts electrical energy into chemical energy or vice versa
Two Types:
Electrolytic cell
Converts electrical energy into chemical energy Electricity is used to drive a non-spontaneous reaction
Galvanic (or voltaic) cell
Converts chemical energy into electricity (a battery!) A spontaneous reaction produces electricity
Conduction:
Metals: metallic (electronic) conduction -- free movement of electrons
Electrochemical Cells
Electrochemical Cells
Electrochemical Cells
Voltaic Cell
cell in which a spontaneous redox reaction generates electricity
Electrochemical Cells
Voltaic Cell
Electrochemical Cells
Electrochemical Cells
Electrochemical Cells
Electrolytic Cell
electrochemical cell in which an electric current drives a nonspontaneous redox reaction
Cell Potential
Cell Potential
Cell Potential (electromotive force), E
cell(V)
electrical potential difference between the two electrodes or half-cells
• Depends on specific half-reactions, concentrations, and temperature
• standard state conditions
high electrical
high electrical
potential
potential
low electrical
low electrical
potential
potential
Cell Potential
Cell Potential
Cell Potential
E
cell= E
cathode- E
anode= E
redn- E
oxE°
cell= E°
cathode- E°
anode= E°
redn- E°
oxCell Potential
Cell Potential
E°
cell= E°
cathode- E°
anode= E°
redn- E°
ox
Reference electrode
has arbitrarily assigned E
used to measure relative Ecathode and Eanode for half-cell reactions
Standard hydrogen electrode (S.H.E.)
Standard Hydrogen Electrode
Standard Hydrogen Electrode
E = 0 V (by
definition; arbitrarily
selected)
Standard Electrode Potentials
Standard Electrode Potentials
Standard Reduction Potentials, E°
E°cell measured relative to S.H.E. (0 V)
• electrode of interest = cathode
If E° < 0 V:
• Oxidizing agent is harder to reduce than H+
If E° > 0 V:
Standard Reduction Potentials Standard Reduction Potentials
Reduction Half-Reaction E(V) F2(g) + 2e- 2F-(aq) 2.87
Au3+(aq) + 3e- Au(s) 1.50
Cl2(g) + 2 e- 2Cl-(aq) 1.36
Cr2O72-(aq) + 14H+(aq) + 6e- 2Cr3+(aq) + 7H
2O 1.33
O2(g) + 4H+ + 4e- 2H
2O(l) 1.23
Ag+(aq) + e- Ag(s) 0.80
Fe3+(aq) + e- Fe2+(aq) 0.77
Cu2+(aq) + 2e- Cu(s) 0.34
Sn4+(aq) + 2e- Sn2+(aq) 0.15
2H+(aq) + 2e- H
2(g) 0.00
Sn2+(aq) + 2e- Sn(s) -0.14
Ni2+(aq) + 2e- Ni(s) -0.23
Fe2+(aq) + 2e- Fe(s) -0.44
Zn2+(aq) + 2e- Zn(s) -0.76
Al3+(aq) + 3e- Al(s) -1.66
Mg2+(aq) + 2e- Mg(s) -2.37
Uses of Standard Reduction
Uses of Standard Reduction
Potentials
Potentials
Compare strengths of reducing/oxidizing
agents.
Standard Reduction Potentials Standard Reduction Potentials
Reduction Half-Reaction E(V) F2(g) + 2e- 2F-(aq) 2.87
Au3+(aq) + 3e- Au(s) 1.50
Cl2(g) + 2 e- 2Cl-(aq) 1.36
Cr2O72-(aq) + 14H+(aq) + 6e- 2Cr3+(aq) + 7H
2O 1.33
O2(g) + 4H+ + 4e- 2H
2O(l) 1.23
Ag+(aq) + e- Ag(s) 0.80
Fe3+(aq) + e- Fe2+(aq) 0.77
Cu2+(aq) + 2e- Cu(s) 0.34
Sn4+(aq) + 2e- Sn2+(aq) 0.15
2H+(aq) + 2e- H
2(g) 0.00
Sn2+(aq) + 2e- Sn(s) -0.14
Ni2+(aq) + 2e- Ni(s) -0.23
Fe2+(aq) + 2e- Fe(s) -0.44
Zn2+(aq) + 2e- Zn(s) -0.76
Al3+(aq) + 3e- Al(s) -1.66
Mg2+(aq) + 2e- Mg(s) -2.37
Li+(aq) + e- Li(s) -3.04
Uses of Standard Reduction
Uses of Standard Reduction
Potentials
Potentials
Determine if oxidizing and reducing agent react
spontaneously
Cathode
(reduction) E°redn (cathode)
more +
Anode (oxidation)
E
° red
n
(
V
)
E°redn (anode)
more
-Spontaneous rxn if
Spontaneous rxn if
E
Uses of Standard Reduction
Uses of Standard Reduction
Potentials
Potentials
Calculate E°
cell E°cell = E°cathode - E°anode
• Greater E°cell, greater the driving force
Cell Potential
Cell Potential
Relationship between E
celland G:
G = -nFEcell
• F = Faraday constant = 96500 C/mol e-’s, n = # e-’s
transferred redox rxn.
Equilibrium Constants from E
Equilibrium Constants from E
cellcell
Relationship between E
celland G:
G = -nFEcell
• F = Faraday constant = 96500 C/mol e-’s, n = # e-’s
transferred redox rxn
G < 0, Ecell > 0 = spontaneous
Under standard state conditions:
Equilibrium Constants from E
Equilibrium Constants from E
cellcell Relationship between Ecell and G:
G = -nFEcell
• F = Faraday constant = 96500 C/mol e-’s, n = # e-’s transferred redox rxn
• 1 J = CV
G < 0, Ecell > 0 = spontaneous
Under standard state conditions:
G° = -nFE°cell
and
G° = -RTlnK
so
The Nernst Equation
The Nernst Equation
G depends on concentrations
G = G° + RTlnQ
and
G = -nFE
celland G° = -nFE°
cellthus
-nFE
cell= -nFE°
cell+ RTlnQ
or
The Nernst Equation
The Nernst Equation
E
cell= E°
cell- (RT/nF)lnQ (Nernst eqn.)
At 298 K (25°C), RT/F = 0.0257 V
so
E
cell= E°
cell- (0.0257/n)lnQ
or