EQUILIBRIUM ELECTROCHEMISTRY NANIK DWI NURHAYATI, S.SI,M.SI.
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1 EQUILIBRIUM ELECTROCHEMISTRY NANIK DWI NURHAYATI, S.SI,M.SI nanikdn@uns.ac.id
2 Electrochemical Cells Electrochemical cell - two electrodes in contact with an electrolyte Electrolyte is an ionic conductor (solution, liquid, or solid) Electrode compartment = electrode + electrolyte If electrolytes are different compartments may be connect with salt bridge Electrolyte solution in agar Galvanic cell - an electrochemical cell that produces electricity Electrolytic cell - an electrochemical cell in which a non-spontaneous reaction is driven by an external source of current
3 Types of Electrodes `1. Metal/metal ion Designation:M(s) M + (aq) Redox couple: M + /M Half reaction: M + (aq) + 1e - M(s) 2. Hidrogen (SHE) Designation*: Pt(s) X 2 (g) X + (aq) or Pt(s) X 2 (g) X - (aq) Redox couple: X + /X 2 or X 2 / X - Half reaction: X + (aq) + 1e - 1/2X 2 (g) or 1/2X 2 (g) + 1e - X - (aq) 3. Metal/insoluble salt Designation:M(s) MX(s) X - (aq) Redox couple: MX /M,X - Half reaction: MX(s) + 1e - M(s) + X - (aq) 4. Redoxs Designation*: Pt(s) M + (aq), M 2+ (aq) Redox couple: M + /M 2+ Half reaction: M 2+ (aq) + 1e - M + (aq) *Inert metal (Pt) source or sink of e -
4 Liquid junction potential: due to the difference in the concentrations of electrolytes. Electrochemical cells The right-hand side electrochemical cell is often expressed as follows: Zn(s) ZnSO 4 (aq) CuSO 4 (aq) Cu(s) The cathode reaction (copper ions being reduced to copper metal) is shown on the right. The double bar ( ) represents the salt bridge that separates the two beakers, and the anode reaction is shown on the left: zinc metal is oxidized into zinc ions
5 Standard Potentials Since you can t measure the potential of a single electrode, one pair has been assigned, by convention a potential of 0 Standard hydrogen electrode (SHE): Pt(s) H 2 (g) H (aq) E ø 0 Other potentials determined by constructing cells in which SHE is left hand electrode:» Silver Chloride Silver Pt(s) H 2 (g) H + (aq) Cl - (aq) AgCl(s) Ag E ø (AgCl, Ag, Cl - )=+0.22V Reaction: AgCl(s) + 1/2H 2 (g) Ag(s) + H + (aq) + Cl - (aq) Because all potentials are relative to the hydrogen electrode, the reaction is listed without the contribution of the SHE, AgCl(s) Ag(s) + Cl - (aq)
6 Standard Reduction Potentials Reduction potentials for many electrodes have been measured and tabulated.
7 Voltaic Cells We can use that energy to do work if we make the electrons flow through an external device. We call such a setup a voltaic cell.
8 Voltaic Cells A typical cell looks like this. The oxidation occurs at the anode. The reduction occurs at the cathode.
9 Cell Potential and Free Energy G for a redox reaction can be found by using the equation G = nfe G = nfe where n is the number of moles of electrons transferred, and F is a constant, the Faraday. 1 F = 96,485 C/mol = 96,485 J/V-mol
10 Nernst Equation Dividing both sides by nf, we get the Nernst equation: E = E RT nf ln Q or, using base-10 logarithms, E = E RT nf ln Q
11 Nernst Equation At room temperature (298 K), RT = V F Thus the equation becomes E = E ln Q n E sel = E o sel - 0,059 Log (C)c (D)d n (A)a (B)b
12 Reaction Equilibrium G = 0, E = 0 aa + bb cc + dd K = (C) c (D) d (A) a (B) b PCl 3(g) + Cl 2(g) PCl 5(g) E sel E o sel E o sel RT nf RT nf ln ln K K PCL E sel = E o sel - 0,059 Log (C) c (D) d n (A) a (B) b E o sel = 0,059 Log K n 5 ( PCL3 )( Cl2 ) K C K [ a [ a oksidasi reduksi nfesel o RT K e ] ]
13 At equilibrium, G rxn = 0 G rxn G o rxn RT ln Q 0 K 0 = G rxn +RTln(K) G rxn = -RTln(K)
14 Concentration Cells Notice that the Nernst equation implies that a cell could be created that has the same substance at both electrodes.
15 Temperature Dependence of K We now have two definitions for G G rxn = -RTln(K) = H - T S Rearranging (dividing by -RT) ln(k ) H R 1 T S R y = m x + b Plot of ln(k) vs 1/T is a straight line
16 T Dependence of K (cont.) we know the T dependence of K, we can predict K at another temperature: ln(k 2 ) H R 1 T 2 S R - ln(k 1 ) H R ln K 2 H 1 1 K 1 R T 2 T 1 1 T 1 S R the van t Hoff equation.
17 Applications of Oxidation-Reduction Reactions Batteries
18 Alkaline Batteries
19 Determine ph Again concentration is replaced with activity ph = -log A H + = -log [H + ] H +
20 ph = - log [H+]. ph = - log ah+ Pt H 2(g) H + (H+) H + (std) H 2(g) H + + e- = ½ H 2(g) E o = 0,0000 V E sel = E o sel 0,0591 E sel = -0,059 log (H + ) log [ oksidasi] [ reduksi ] (H + ) std
21 ph and pka Glass Electrode For hydrogen electrode (1/2 reaction above), E ø = 0 If f H2 = p ø, Q = 1/a H+ and E = (RT/F) ln(a H+ ) E = E ø - (RT/nF) lnq Converting ln to log (ln =2.303log), E = (RT/F) 2.303log(a H+ ) Define ph=-loga H so E = (RT/F)pH At 25 C, E= mVpH Measurement Direct method: hydrogen electrode + saturated calomel reference electrode (Hg 2 Cl 2 ) At 25 C, ph = (E + E(calomel))/ (-59.16mV ) Indirect method: Replace hydrogen electrode with glass electrode sensitive to hydrogen activity (but not permeable to H + E(glass) a ph, E(glass) = 0 when ph = 7 H (aq) 1e 1 2 H 2 (g) Q f H 2 p ø 0.5 a H pka Since we learned ph = pka when concentration of acid and conjugate base are equal pka can be measured directly from ph measurement Ion-Selective electrodes - related to glass electrode except potentials sensitive to other species (see Box 10.2, p 278)
22 Pb(s) Pb 2+ (jenuh, PbCl 2 ) Pb 2 + (0.05 M) Pb(s) Esel = volt oxsidation : Pb(s) Pb 2+ (jenuh, PbCl 2 ) + 2e E sel = 0,13 V Reduction : Pb e Pb(s) E sel = - 0,13 V Esel = E sel log (Pb 2+ (jenuh, PbCl 2 ) ) (Pb 2+) = (log a log 0.05) a = [Pb 2+ ]= 1.6 x 10-2 M [Cl - ] = 2 [Pb 2+ ]= 3.2 x 10-2 M Ksp = [Pb 2+ ][Cl - ] 2 = [1.6 x 10-2 ][3.2 x 10-2 ] 2 = 1.6 x 10-5
23 THANK YOU
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