Cell EMF Eocell = Eored(cathode) - Eored(anode) Example: Zn + Cu+2 Zn+2 + Cu E0cell = 0.34 V - (-0.76 V) = + 1.10 V
A voltaic cell is based on two half-reactions: Cd+2/Cd Sn+2/Sn Which half-reaction takes place at the cathode? Which half-reaction takes place at the anode? What is the standard cell potential?
A voltaic cell is based on two half-reactions: Cd+2/Cd Sn+2/Sn Which half-reaction takes place at the cathode? Which half-reaction takes place at the anode? What is the standard cell potential? Sn+2 + 2e- Sn Cd Cd+2 + 2e- 0.267 V
Spontaneity of Redox Reactions Eo = Eored(reduction) - Eored(oxidation) E0 = (+) spontaneous E0 = (-) nonspontaneous
Calculate the value of E0. Cu + 2H+ Cu+2 + H2 Calculate the value of E0.
Calculate the value of E0. Cu + 2H+ Cu+2 + H2 Calculate the value of E0. E0 = -0.34 V NOT SPONTANEOUS
EMF and Free-Energy Change G = -nFE n = a positive # (the # of electrons transferred) F = Faraday’s constant. 1F = 96,500 J/V-mol E = EMF
Use the standard reduction potentials to calculate the standard free-energy change, Go, for the following reaction: 4Ag + O2 + 4H+ 4Ag+ + 2H2O
Go = -(4)(96,500J/V-mol)(+0.43V) Use the standard reduction potentials to calculate the standard free-energy change, Go, for the following reaction: 4Ag + O2 + 4H+ 4Ag+ + 2H2O Go = -(4)(96,500J/V-mol)(+0.43V) - 170 kJ/mol
The Nernst Equation (at 298 K)
Cr2O7-2(aq) + 14H+(aq) + 6I-(aq) 2Cr+3(aq) + 3I2(s) + 7H20(l) Calculate the emf at 298K generated by the following cell, when (Cr2O7-2) = 2.0 M, (H+) = 1.0 M, (I-) = 1.0 M, and (Cr+3) = 1.0 x 10-5 M: Cr2O7-2(aq) + 14H+(aq) + 6I-(aq) 2Cr+3(aq) + 3I2(s) + 7H20(l)
Calculate the emf at 298K generated by the following cell, when (Cr2O7-2) = 2.0 M, (H+) = 1.0 M, (I-) = 1.0 M, and (Cr+3) = 1.0 x 10-5 M: Cr2O7-2 + 14H+ + 6I- 2Cr+3 + 3I2 + 7H20 E = 0.79 V - 0.0592V/6 log(5.0 x 10-11) E = 0.89 V