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Unit 8 (Chp 20): Electrochemistry
Chemistry, The Central Science, 10th edition Theodore L. Brown; H. Eugene LeMay, Jr.; and Bruce E. Bursten Unit 8 (Chp 20): Electrochemistry John D. Bookstaver St. Charles Community College St. Peters, MO 2006, Prentice Hall, Inc.
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LEO says GER A species is oxidized when it loses e– .
A species is reduced when it gains e– . LEO says GER oxidized reduced
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Balancing Redox Half-Rxns
+3 +2 Step 1: Ox #’s Zn + FeCl3 ZnCl2 + Fe OX: Zn Zn e− Step 2: Half, e–’s RED: 3 e− + Fe+3 Fe OX: 3 Zn 3 Zn e− Step 3: Balance & Unite Overall RED: 6 e− Fe+3 2 Fe 3 Zn Fe+3 3 Zn Fe
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(maintain charge balance)
Voltaic Cells oxidation occurs at the anode. reduction occurs at the cathode. RED CAT OX AN salt bridge (maintain charge balance)
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Voltaic Cells +cations form and dissolve at AN
(e– ’s flow from AN to CAT) e– ’s reduce +cations to deposit solid metal on the CAT animation: VoltaicCopperZincCell Zn(s) Zn+2 + 2e− 2e− + Cu+2 Cu(s) Zn Zn 2+ Zn2+ 2+ Cu2+ Cu2+ 2+ Cu 2+ Cu
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Standard Cell Potential (Eo)
= Ered (CAT) + Eox (AN) RED OX (–Ered) +0.34 greater difference in Ered’s, greater voltage (V) (potential difference) RED OX Ecell = (0.34) + (+0.76) Ecell = V –0.76
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Likely Oxidized or Reduced? (based on Ered)
reduced easily (highest Ered) F2(g) e– 2 F–(aq) 2 H+(aq) e– H2(g) Li+(aq) + e– Li(s) +2.87 V … 0 V –3.05 V (most nonmetals) (halogens) Reduced Easily 2 H+(aq) e– H2(g) V Oxidized Easily (most metals) (alkali) oxidized easily (lowest Ered)
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Potential (Eo) & Free Energy (DGo)
Go for a redox reaction can be found by using the equation: Go = −nFEo n : moles of e– transferred F : Faraday’s constant (96,485) 1 F = 96,485 C/mol e– = 96,485 J/V∙mol e– (in J) on equation sheet on equation sheet 1 V = 1 J C
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(Eo) & (DGo) & ______________
(K) Equilibrium G = −nFE G = −RT ln K on equation sheet on equation sheet –∆Go RT = ln K UNITS!!! ∆Go & R both in J or kJ Solved for K : –∆Go RT K = e^ NOT on equation sheet
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– + – + Eo, ΔGo , & K Go = −RT ln K Go = −nFEo K ∆Go = –RT(ln K)
Fav or UNfav therm. fav. – –RT ( + ) –nF( ) + > 1 = – = –nF( ) = –RT ( 0 ) 0 = = 1 neither therm. UNfav. – + –RT ( – ) –nF( ) < 1 = + =
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Ecell (nonstandard) (not Eo)
[P]y [R]x Q = If Eo, then Q = __ x R y P Q = 1 [1.0]y [1.0]x NON-standard conditions : [R] or [P] ≠ 1.0 M so Q ≠ 1 (if Q < 1 then E > Eo) [R] & [P] = 1.0 M so Q = 1, & Eo= +(fav) but… …as rxn proceeds , [R] & [P], and… Q > 1 so E < Eo until Q = K and E = 0 Q ≠ 1 or (if Q > 1 then E < Eo) (Eo unchanged) (equilibrium) (“dead” cell, 0.00 V)
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Ecell (not Eo) (not 1.0 M) As Q inc↑, E ________. dec to 0 Q = ?
2.00 V As Q inc↑, E ________. dec to 0 Al Q = ? ___ + ___ ___ + ___ 2 Al 3 Cu2+ 2 Al3+ 3 Cu [Al3+]2 [Cu2+]3 Q = Al3+
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recall Faraday’s constant, F = 96,485 C/mol e–
Electrolysis electrical energy input used to cause an UNfavorable (E = –) REDOX rxn to plate out a solid mass of neutral metal from aq. ions. on equation sheet current: charge (C) per second (s). q t I = I = current [Amperes (A)] q = charge [Coulombs (C)] t = time [seconds (s)] recall Faraday’s constant, F = 96,485 C/mol e–
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Electrolysis Examples: (longer) t = ? s
(c) How long will it take to plate out 0.61 g Cu(s) from a solution of Cu2+ ions with 2.5 amps? t = ? s mass current 1 mol Cu 63.55 g 2 mol e– 1 mol Cu2+ 96,485 C 1 mol e– 1 s 2.5 C 0.61 g x x x x = 741 s (d) How many grams of Ag(s) will be produced when 21.0 A flows through a solution of Ag+ ions for 45.0 min? current time 60 s 1 min 21.0 C 1 s 1 mol e– 96,485 C 1 mol Ag+ 1 mol e– g 1 mol Ag 63.4 g 45.0 min x x x x x =
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Electrolysis = 25.9 g 1 F = 96,485 C 1 mol e–
Example: (MC no CALCULATOR) (e) What mass of Pb(s) will be deposited by passing 0.50 F through a solution of Pb4+ ? 1 mol Pb4+ 4 mol e– 207.2 g Pb 1 mol Pb 0.50 mol e– x x = 25.9 g 1 F = 96,485 C 1 mol e– 96,485 C 1 F 1 mol e– 96,485 C 1 mol Pb4+ 4 mol e– 207.2 g Pb 1 mol Pb 0.50 F x x x x =
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Electrolysis of Molten (l) Salts
P RED: Na+ + e– Na Ered = –2.71 V OX: 2 Cl– Cl e– Eox = –1.36 V Cl e– 2 Cl– Na+ Cl– Ered = +1.36 V NaCl(l) (molten) Ecell = (–2.71) + (–1.36) Ecell = –4.07 V
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Electrolysis Aqueous (aq) Salts
RED: K+ + e– K Ered = –2.92 V P Ered = –0.83 V 2 H2O + 2 e– H2 + 2 OH– H2O Eox = OX: 2 I– I e– –0.53 V K+ I– KI(aq) Eox = –1.23 V RED: highest Ered OX: highest Eox 2 H2O O2 + 4 H+ + 4 e–
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K = e^ E = Ered (CAT) + Eox (AN) Go = −nFEo –∆Go RT Go = −RT ln K
RED OX “standard” cell potential (Eo) free energy change (∆Go) Go = −nFEo equilibrium constant (K) UNITS! ∆Go & R J or kJ –∆Go RT Go = −RT ln K K = e^ (Q = K , E = 0) (Q = 1 , E = Eo) non-“standard” cell potential (E) (≠ 1.0 M) from Eo & Q [P]y [R]x Q = (Q > 1 , E < Eo) (Q < 1 , E > Eo) q (C) t (s) I (A) = electrolysis (E = –) (calculate: g, s, etc.) 96,485 C 1 mol e– 1 F =
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