ECHE 789B/Spring 2002 Problem Set #2 Due: Thursday January 31 1. Calculate the half cell potential of the hydrogen electrode in a solution of pH=5, 6, 7,8 and 9 and at partial pressure of hydrogen of 0.5 and 0.8 atm, respectively at 25 o. Cell notation: Pt/H2/H+. Plot the half cell potential as a function of pH at above partial pressures of hydrogen. 2. Calculate the EMF of the following cell @ 25oC” O2 (760 mm Hg), Pt;H2O:O2 (76 mm Hg),Pt O2 (760 mm Hg), Pt;H2O:O2 (100 mm Hg),Pt O2 (760 mm Hg), Pt;H2O:O2 (200 mm Hg),Pt O2 (760 mm Hg), Pt;H2O:O2 (300mm Hg),Pt O2 (760 mm Hg), Pt;H2O:O2 (400 mm Hg),Pt O2 (760 mm Hg), Pt;H2O:O2 (500 mm Hg),Pt O2 (760 mm Hg), Pt;H2O:O2 (600mm Hg),Pt O2 (760 mm Hg), Pt;H2O:O2 (760mm Hg),Pt O2 (760 mm Hg), Pt;H2O:O2 (1000 mm Hg),Pt It is known that in any given differential aeration cell, the electrode in contact with the lower pressure is the anode (for a common electrolyte of the same activity). What is the polarity and which electrode is the anode. Plot the EMF as a function of oxygen pressure a@ 25 oC. Compare the results for 60oC. 3. The standard potential for oxygen electrode reaction at pH=14 4OH- = O2+ 2H2O + 4e- is E1o OH-/O2 =-0.401 V Calculate E2o for oxygen electrode reaction @ pH=0: 2H2O = O2+ 4H+ +4eHint: 1. Since both reactions represent oxygen electrode E2-E1=0 2. (H+)(OH-) =Kw = 10-14 1 4. Calculate the EMF of a cell made up of a hydrogen electrode (pH2=1 atm) and an oxygen electrode with pO2=0.1; 03;0.5;07 and 1 atm in 0.5 M KOH. Estimate the polarity of the cell and plot the cell potential as a function of the oxygen pressure. Hint: Assume that the oxygen electrode is reversible. 5. (Devan Sheba) Construct a pH-potential diagram for lead with the following reactions. Activity of all dissolved substances is 10-6. Assume any other reactions. a). PbH2+Pb=PbO+2H++2eEo =-1.507V b). Pb=Pb2++2eEo =-0.126V + c). Pb+H2O=PbO+2H +2e Eo =0.248V d). Pb+H2O=HPbO2-+3H++2eEo =0.702V Indicate regions of corrosion, passivity and stability. 5. (Godfrey Sihha) Construct a pH-potential diagram for tin with the following reactions. Activity of all dissolved substances is 10-6. Assume any other reactions. a). SnH4=Sn+4H++4eEo =-1.076V b). Sn=Sn2++2eEo =-0.136V + c). Sn+2H2O=HSnO2 +3H +2e Eo =0.333V d). Sn2++2H2O=SnO2+4H++2eEo =-0.077V e). Sn+2H2O=SnO2+4H++4eEo =-0.106V f). HSnO2-=SnO2+H++2eEo =-0.546V Indicate regions of corrosion, passivity and stability. 5. (Hector Colon) Construct a pH-potential diagram for copper when activity of all dissolved substances is 10-6. The reactions given. a). Cu=Cu++eEo =0.520V + b). 2Cu+H2O=Cu2O+2H +2e Eo =0.471V c). Cu2O+2H+=2Cu2++H2O+2eEo =0.203V + d). Cu2O+H2O=2CuO+2H +2e Eo =0.669V Assume any other reactions. Indicate regions of corrosion, passivity and stability. 5. (Leblanc Rene) Construct a pH-potential diagram for cobalt with the following reactions. Activity of all dissolved substances is 10-6. Assume any other reactions. a). Co=Co2++2eEo =-0.282V 2+ 3+ b). Co =Co +e Eo =1.808V c). HCoO2-+3H+=Co3++2H2O+eEo =-0.065V d). Co+H2O=CoO+2H++2eEo =0.095V e). Co+2H2O=HCoO2-+3H++2eEo =0.659V 2+ + f). 2Co +3H2O=Co2O3+6H +2e Eo =1.746 Indicate regions of corrosion, passivity and stability. 2 5. Lingyin Liu: Construct a pH-potential diagram for nickel with the following reactions. Activity of all dissolved substances is 10-6. Assume any other reactions. a). Ni=Ni2++2eEo =-0.250V 2+ b). Ni+2H2O=HNiO +3H +2e Eo =0.648V c). Ni+H2O=NiO+2H++2eEo =0.110V d). 2Ni2++3H2O=Ni2O3+6H++2eEo =1.753V e). 2NiO+H2O=Ni2O3+2H++2eEo =1.020V Indicate regions of corrosion, passivity and stability. 5. Mohtadi Rana: Construct a pH-potential diagram for silver with the following reactions. Activity of all dissolved substances is 10-6. Assume any other reactions. a). Ag=Ag++eEo =0.799V + 2+ b). Ag =Ag +e Eo =1.980V c). 2Ag+H2O=Ag2O+2H++2eEo =1.173V + d). Ag +H2O=AgO+2H++eEo =1.772V e). Ag2O+H2O=2AgO+2H++2eEo =1.398V Indicate regions of corrosion, passivity and stability. 5. Ning Gang: Construct a pH-potential diagram for Zinc with the following reactions. Activity of all dissolved substances is 10-6. Assume any other reactions. a). Zn=Zn2++2eEo =-0.763V + b). Zn+H2O=ZnO+2H +2e Eo =-0.439V c). Zn+2H2O =HZnO2-+3H++2eEo =0.054V d). Zn+2H2O=ZnO22-+4H++2eEo=0.441V Indicate regions of corrosion, passivity and stability. 5. Ramasammy Ramaraj: Construct a pH-potential diagram for Cd. Activity of all dissolved substances is 10-6. Indicate regions of corrosion, passivity and stability. The Equilibrium reactions and potentials are available in “Atlas of Electrochemical Equilibrium in Aqueous Solutions by Marcel Pourbaix. 5. Sethuram V: Construct a pH-potential diagram for Ti. Activity of all dissolved substances is 10-6. Indicate regions of corrosion, passivity and stability. Equilibrium reactions and potentials are available in “Atlas of Electrochemical Equilibrium in Aqueous Solutions by Marcel Pourbaix. 5. Subramanian Nalini: Construct a pH-potential diagram for Ti. Activity of all dissolved substances is 10-6. Indicate regions of corrosion, passivity and stability. Equilibrium reactions and potentials are available in “Atlas of Electrochemical Equilibrium in Aqueous Solutions by Marcel Pourbaix. 5. Surya Vasudevan: Construct a pH-potential diagram for Pd. Activity of all dissolved substances is 10-6. Indicate regions of corrosion, passivity and stability. Equilibrium reactions and potentials are available in “Atlas of Electrochemical Equilibrium in Aqueous Solutions by Marcel Pourbaix. 3 5. Swaminatha Prabu: Construct a pH-potential diagram for Ce . Activity of all dissolved substances is 10-6. Indicate regions of corrosion, passivity and stability. Equilibrium reactions and potentials are available in “Atlas of Electrochemical Equilibrium in Aqueous Solutions by Marcel Pourbaix. 5. Wang Wentao: Construct a pH-potential diagram for Mo. Activity of all dissolved substances is 10-6. Indicate regions of corrosion, passivity and stability. Equilibrium reactions and potentials are available in “Atlas of Electrochemical Equilibrium in Aqueous Solutions by Marcel Pourbaix. 5. Zhu Xiaojing: Construct a pH-potential diagram for Mn. Activity of all dissolved substances is 10-6. Indicate regions of corrosion, passivity and stability. Equilibrium reactions and potentials are available in “Atlas of Electrochemical Equilibrium in Aqueous Solutions by Marcel Pourbaix. 4