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Nils Walter: Chem 260
Electrochemical cells
= electronic conductor
+ surrounding
electrolyte
electrode compartment
If two different
electrolytes are used:
Electrolytic cell: electrochemical cell in which a non-spontaneous reaction is
driven by an external source of current
Galvanic cell: electrochemical cell in which electricity is produced as a result
of a spontaneous reaction (e.g., batteries, fuel cells, electric fish!)
Nils Walter: Chem 260
Reactions at electrodes: Half-reactions
Redox reactions: Reactions in which electrons are transferred
from one species to another
+II -II 0 -II
0 +IV
reduced oxidized
Any redox reactions can be expressed as the difference
between two reduction half-reactions in which e- are taken up
CuS(s) + O2(g) →
→
→
→ Cu(s) + SO2(g)
E.g.,
Reduction of Cu2+: Cu2+(aq) + 2e- →
→
→
→ Cu(s)
Reduction of Zn2+: Zn2+(aq) + 2e- →
→
→
→ Zn(s)
Cu2+(aq) + Zn(s) →
→
→
→ Cu(s) + Zn2+(aq)
More complex: MnO4
-(aq) + 8H+ + 5e- →
→
→
→ Mn2+(aq) + 4H2O(l)
Half-reactions are only a formal way of writing a redox reaction
Difference:
Nils Walter: Chem 260
Carrying the concept further
Reduction of Cu2+: Cu2+(aq) + 2e- →
→
→
→ Cu(s)
In general: redox couple Ox/Red, half-reaction Ox + ν
ν
ν
νe- →
→
→
→ Red
Any reaction can be expressed in redox half-reactions:
Expansion of gas: H2(g, pi) →
→
→
→ H2(g, pf)
2 H+(aq) + 2e- →
→
→
→ H2(g, pi)
2 H+(aq) + 2e- →
→
→
→ H2(g, pf)
Dissolution of a sparingly soluble salt: AgCl(s) →
→
→
→ Ag+(aq) + Cl-(aq)
Ag+(aq) + e- →
→
→
→ Ag(s)
AgCl(s) + e- →
→
→
→ Ag(s) + Cl-(aq)
Reaction quotients: ]
[ −
≈
= − Cl
a
Q Cl
]
[
1
1
+
≈
=
+ Ag
a
Q
Ag
Nils Walter: Chem 260
Reactions at electrodes
Galvanic cell: Electrolytic cell:
Red1 →
→
→
→
Ox1 + ν
ν
ν
νe-
Ox2 + ν
ν
ν
νe-
→
→
→
→ Red2
Half-reactions
Red1 →
→
→
→
Ox1 + ν
ν
ν
νe-
Ox2 + ν
ν
ν
νe-
→
→
→
→ Red2
Nils Walter: Chem 260
Insoluble-salt electrode:
metal
(e.g., Pt)
solution
(e.g., H+)
2H+ + 2e- H2(g) 2
2 )
(
+
=
H
a
H
p
Q
Types of electrodes I
Pt(s)|
||
| H2(g)|
||
| H+(aq)
Gas electrode:
Gas (e.g., H2)
metal
(e.g., Ag)
solution
(e.g., Cl-)
AgCl(s) + e- Ag(s) + Cl-(aq)
−
= Cl
a
Q
Ag(s)|
||
| AgCl(s)|
||
| Cl-(aq)
Porous, insoluble
salt (e.g., AgCl)
Nils Walter: Chem 260
Fe3+ + e- Fe2+
+
+
=
=
3
2
Re
Fe
Fe
Ox
d
a
a
a
a
Q
Types of electrodes and how to put them
together in a galvanic cell
Pt(s)|
||
| Fe2+(aq),Fe3+(aq)
+
+
=
2
2
Cu
Zn
a
a
Q
Zn(s)|
||
| ZnSO4(aq) |
||
| |
||
| CuSO4(aq)|
||
| Cu(s)
Redox electrode: Daniell cell:
Right:
Cu2+(aq) + 2e-
→
→
→
→ Cu(s)
Left:
Zn2+(aq) + 2e-
→
→
→
→ Zn(s)
Cu2+(aq) + Zn(s) Cu(s) + Zn2+(aq)
Nils Walter: Chem 260
Cell reaction and potential
Cell reaction: Difference of electrode half-reactions
(Reduction at Cathode - Oxidation at Anode)
Cathode (Right): Cu2+(aq) + 2e- →
→
→
→ Cu(s)
Anode (Left): Zn2+(aq) + 2e- →
→
→
→ Zn(s)
Overall (R-L): Cu2+(aq) + Zn(s) Cu(s) + Zn2+(aq) e- disappear
this way the reaction
becomes spontaneous
}
Cell potential E: Potential difference between
the electrodes
Maximum electrical work done in
a galvanic cell: w’ = - ν
ν
ν
νF ×
×
×
× E = ∆
∆
∆
∆rG
Ox + ν
ν
ν
νe- →
→
→
→ Red Þ
Þ
Þ
Þ ν
ν
ν
νNA e- transferred per mole of
reaction
Þ
Þ
Þ
Þ ν
ν
ν
νNA ×
×
×
× (-e) = -ν
ν
ν
νF charge transferred
Faraday constant = eNA
= 96,485 Cmol-1

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lecture37.pdf

  • 1. Nils Walter: Chem 260 Electrochemical cells = electronic conductor + surrounding electrolyte electrode compartment If two different electrolytes are used: Electrolytic cell: electrochemical cell in which a non-spontaneous reaction is driven by an external source of current Galvanic cell: electrochemical cell in which electricity is produced as a result of a spontaneous reaction (e.g., batteries, fuel cells, electric fish!)
  • 2. Nils Walter: Chem 260 Reactions at electrodes: Half-reactions Redox reactions: Reactions in which electrons are transferred from one species to another +II -II 0 -II 0 +IV reduced oxidized Any redox reactions can be expressed as the difference between two reduction half-reactions in which e- are taken up CuS(s) + O2(g) → → → → Cu(s) + SO2(g) E.g., Reduction of Cu2+: Cu2+(aq) + 2e- → → → → Cu(s) Reduction of Zn2+: Zn2+(aq) + 2e- → → → → Zn(s) Cu2+(aq) + Zn(s) → → → → Cu(s) + Zn2+(aq) More complex: MnO4 -(aq) + 8H+ + 5e- → → → → Mn2+(aq) + 4H2O(l) Half-reactions are only a formal way of writing a redox reaction Difference:
  • 3. Nils Walter: Chem 260 Carrying the concept further Reduction of Cu2+: Cu2+(aq) + 2e- → → → → Cu(s) In general: redox couple Ox/Red, half-reaction Ox + ν ν ν νe- → → → → Red Any reaction can be expressed in redox half-reactions: Expansion of gas: H2(g, pi) → → → → H2(g, pf) 2 H+(aq) + 2e- → → → → H2(g, pi) 2 H+(aq) + 2e- → → → → H2(g, pf) Dissolution of a sparingly soluble salt: AgCl(s) → → → → Ag+(aq) + Cl-(aq) Ag+(aq) + e- → → → → Ag(s) AgCl(s) + e- → → → → Ag(s) + Cl-(aq) Reaction quotients: ] [ − ≈ = − Cl a Q Cl ] [ 1 1 + ≈ = + Ag a Q Ag
  • 4. Nils Walter: Chem 260 Reactions at electrodes Galvanic cell: Electrolytic cell: Red1 → → → → Ox1 + ν ν ν νe- Ox2 + ν ν ν νe- → → → → Red2 Half-reactions Red1 → → → → Ox1 + ν ν ν νe- Ox2 + ν ν ν νe- → → → → Red2
  • 5. Nils Walter: Chem 260 Insoluble-salt electrode: metal (e.g., Pt) solution (e.g., H+) 2H+ + 2e- H2(g) 2 2 ) ( + = H a H p Q Types of electrodes I Pt(s)| || | H2(g)| || | H+(aq) Gas electrode: Gas (e.g., H2) metal (e.g., Ag) solution (e.g., Cl-) AgCl(s) + e- Ag(s) + Cl-(aq) − = Cl a Q Ag(s)| || | AgCl(s)| || | Cl-(aq) Porous, insoluble salt (e.g., AgCl)
  • 6. Nils Walter: Chem 260 Fe3+ + e- Fe2+ + + = = 3 2 Re Fe Fe Ox d a a a a Q Types of electrodes and how to put them together in a galvanic cell Pt(s)| || | Fe2+(aq),Fe3+(aq) + + = 2 2 Cu Zn a a Q Zn(s)| || | ZnSO4(aq) | || | | || | CuSO4(aq)| || | Cu(s) Redox electrode: Daniell cell: Right: Cu2+(aq) + 2e- → → → → Cu(s) Left: Zn2+(aq) + 2e- → → → → Zn(s) Cu2+(aq) + Zn(s) Cu(s) + Zn2+(aq)
  • 7. Nils Walter: Chem 260 Cell reaction and potential Cell reaction: Difference of electrode half-reactions (Reduction at Cathode - Oxidation at Anode) Cathode (Right): Cu2+(aq) + 2e- → → → → Cu(s) Anode (Left): Zn2+(aq) + 2e- → → → → Zn(s) Overall (R-L): Cu2+(aq) + Zn(s) Cu(s) + Zn2+(aq) e- disappear this way the reaction becomes spontaneous } Cell potential E: Potential difference between the electrodes Maximum electrical work done in a galvanic cell: w’ = - ν ν ν νF × × × × E = ∆ ∆ ∆ ∆rG Ox + ν ν ν νe- → → → → Red Þ Þ Þ Þ ν ν ν νNA e- transferred per mole of reaction Þ Þ Þ Þ ν ν ν νNA × × × × (-e) = -ν ν ν νF charge transferred Faraday constant = eNA = 96,485 Cmol-1