PP 28: Electrochemistry Drill: Balance the following Rxn: Fe(OH)3 + [Cr(OH)4]-1 Fe(OH)2 + CrO4-2 Metallic Conduction: The flow of electrons through a metal Ionic Conduction: The movement of ions (electrolytes) through a solution (Electrolytic Conduction) Electrode: The surface or point in which oxidation or reduction takes place at the interface of metallic & electrolytic conduction Anode: The negative electrode where oxidation takes place (An Ox) Cathode: The positive electrode where reduction takes place (Red Cat) Voltaic or Galvanic Cell: An electrochemical Cell in which a spontaneous oxidation-reduction reaction takes place producing electrical energy Batteries are made up of Voltaic Cells in series Half-Cell: A cell where either oxidation or reduction takes place A half-cell will not work by itself Both half-cells are required An electrochemical cell must have two half-cells connected by a salt bridge o Salt bridge: Allows electrical contact between the two half-cells Prevents mixing of the two half-cell solutions Allows ions to flow maintaining electrical neutrality Draw a Voltaic Cell: Drill: Define Each: Oxidation Reduction Anode Cathode Demonstrate how to determine everything in a voltaic cell using the following system: The Voltaic Cell is made up of a solid copper electrode in a solution of aqueous CuBr2 in one half-cell and a solid aluminum electrode in a solution of aqueous AlCl3 inn the other half-cell. Steps for determining the Redox Reaction & Voltage of an Electrochemical Cell: 1. List all species (elements, molecules, or ions) that exist in each cell (possible reactants). 2. Using a standard Reduction potential table: a. Write all the possible ½ reactions that could take place. b. Record the voltage of each ½ reaction. 3. Separate all of the ½ reactions into either oxidation of reduction reactions. 4. Choose the ½ reaction that has the greatest voltage for both the oxidation & reduction groups. 5. Balance the electrons between the two ½ reactions. 6. Add the two ½ reactions & add the two voltages. Problem: Determine the reaction that takes place & the voltage generated in a Voltaic Cell with a cadmium electrode in aqueous CdCl2 in one ½ cell, & a gold electrode in aqueous AuCl3 in the other. Drill: Determine Reaction that takes place & the voltage generated when Cu+1 reacts with solid potassium. Problem: Determine Eo for the following reaction: Zn(s) + 2 Ag+1(aq) 2 Ag(s) + Zn+2(aq) REDOX Shorthand: Using the reaction above: • Zn|Zn+2||Ag+1|Ag ox red • Zn||Zn|Zn+2||Ag+1|Ag||Ag an ox red cat Oxidation reactants | products || Reduction reactants | products Anode | all that’s right above | Cathode Voltaic Cell Problems: • Determine the reaction that takes place & the voltage generated in a Voltaic Cell with a Cu electrode in CuCl2(aq) is connected to a cell with a Zn electrode in ZnBr2(aq) • Determine the reaction that takes place & the voltage generated in a Voltaic Cell with a Fe electrode in FeCl3(aq) is connected to a cell with a Mn electrode in MnCl2(aq) Drill: Determine all species that could react when a system with 2 Au electrodes in AuCl3(aq). Voltaic Cell Problems: • Determine the reaction that takes place & the voltage generated in a Voltaic Cell with a 2 Au electrodes in AuCl3(aq) in both half cells: • Determine the reaction that takes place & the voltage generated in a Voltaic Cell with a Ba electrode in BaCl2(aq) is connected to a cell with a Sn electrode in SnI4(aq) • Determine the reaction that takes place & the voltage generated in a Voltaic Cell with a iron electrode in FeI2(aq) is connected to a cell with a copper electrode in CuBr2(aq) • Determine the reaction that takes place & the voltage generated in a Voltaic Cell with a Magnesium electrode in MgCl2(aq) is connected to a cell with a gold electrode in AuCl3(aq) Drill: A voltaic cell is made up of a calcium electrode in aqueous CaI2 in one chamber & a tin electrode in aqueous SnBr2. Determine all of the substances that could be reactants in this system. The class should divide into groups of 3 or 4 & complete a worksheet. Drill: Determine all species that could react when a cell with a chrome electrode in CrBr3(aq) is connected to a cell with a lead electrode in PbI2(aq) Review for the test • • Complete the problem in the drill by solving for everything. Using the standard Reduction Potential Table, determine the element that is the strongest reducing agent, & the one that is the strongest oxidizing agent. • Balance the following REDOX Reactions: o SnO2 + S8 SnO + SO2 o N2O3 + K2CrO4 KNO3 + Cr+3 o SO + H2Cr2O7 H2SO4 + Cr+2 (in acid) (in base) Drill: Determine all when a cell with a zinc electrode in ZnCl2(aq) is connected to a cell with a silver electrode in AgNO3(aq) Extremely Important Electrochemical Reactions: • Lead Sulfate Battery o Pb + SO4-2 PbSO4 + 2 eo PbO2 + 4 H+ + 2e- PbSO4 + H2O o Pb + PbO2 + 4 H+ + SO4-2 2 PbSO4 + H2O • Eo = 1.7 V Eo = 0.3 V Eo = 2.0 V Iron Rusting o 2 Fe 2 Fe+2 + 4eo O2 + 2 H2O + 4e- 4 OHo 2 Fe + O2 + 2 H2O 2 Fe+2 + 4 OH- Inter-relating Equation: Go = Ho - TSo Go = - RTlnKeq Go = - nFEo Calculate Go for the reaction in the drill: 2 Ag+ + Zn 2 Ag + Zn+2 Eo = +1.56 V Drill: Determine rxn, Eo, for a voltaic cell with half-cells containing Ni(s) in NiCl2(aq) & Sn(s) in SnCl2(aq). Determine Go, & Keq for the same system: Sn+2 + Ni Ni+2 + Sn Nernst Equation: E = Eo - (RT/nF)lnQ Eo = +0.11 V for non-standard conditions Problem: Determine the voltage of a cell with a silver electrode in 1.0 M AgNO3 & a zinc electrode in 0.010 M ZnCl2 at 27oC: Problem: Determine rxn, Eo, for a voltaic cell with half-cells containing Cai(s) in CaCl2(aq) & Ag(s) in AgBr(aq). Drill: Determine the voltage of a cell with an aluminum electrode in AlCl3(aq) & a zinc electrode in ZnCl2(aq). Electrolysis: Using electrical energy (electricity) to force a non-spontaneous electrochemical reaction Electrolytic Cell: An electrochemical cell where electrolysis is being performed Steps for solving Reactions taking & the voltage required to run electrochemical cells: (same steps) 1. List all species (elements, molecules, or ions) that exist in each cell (possible reactants). 2. Using a standard Reduction potential table: a. Write all the possible ½ reactions that could take place. b. Record the voltage of each ½ reaction. 3. Separate all of the ½ reactions into either oxidation of reduction reactions. 4. Choose the ½ reaction that has the greatest voltage for both the oxidation & reduction groups. 5. Balance the electrons between the two ½ reactions. 6. Add the two ½ reactions & add the two voltages. Electrochemical Cell Problems: • • • Determine the rxn that takes place when 1.5 V is passed through two Pt electrodes in a solution containing MgI2(aq) & ZnCl2(aq) Determine the rxn that takes place when 4.0 V is passed through two Pt electrode in a solution Of NaCl(aq) Determine the rxn that takes place when electricity is passed through two Pt electrode in molten NaCl Drill: Determine all species that could react when electricity is passed through two Pt electrode in a solution containing CaCl2(aq) & FeF2(aq) Electrochemical Cell Problems: • Determine the rxns that takes place when 1.8 V of electricity is passed through two Pt electrodes in ZnCl2(aq) • Determine the rxns that takes place when 2.0 V of electricity is passed through two Pt electrodes in ZnCl2(aq) • Determine the voltage of a cell with a silver electrode in AgNO3(aq) & an iron electrode in FeCl2(aq) Drill: Determine all species that could react when electricity is passed through two Pt electrodes in a solution containing CaCl2(aq) & MgF2(aq) Electroplating & Electro-purifying: Using electrical energy (Electrolysis) to purify or plate an element Electrolysis: Using electrical energy (electricity) to perform various chemical actions • During electrolysis, oxidation & degradation will occur at the anode • During electrolysis, reduction & electroplating will occur at the cathode Basic Unit of Electricity: Amphere (A) • 1 Amp = 1 coulomb/sec Unit of Electric Charge: (C): • The amount of any electroplating can be determined from coulombs because the charge of an electron is known Faraday’s Constant: (F): • The charge of 1 mole of electrons • ~96500 C/mole e Electroplating Formula: I = q/t Where I = current in amps, q = charge coulombs, & t = time is seconds • Charge = current x time • C = A/s • Mass can be determined from the charge Problem: Determine the mass of copper plated onto the cathode when 9.65 mA is passed for 2.5 hrs through two Cu electrodes in a solution containing CuCl2(aq) • • The problem can be worked using the formula (I = q/t) followed by a series of conversion factors. The problem can also be worked using Saul’s Rule: nFm = MIt o o o o o o n = the number of electrons transferred F = Faraday’s Constant: 96497 coulombs / mole of electrons m = mass in grams M = molar mass in grams / mole I = current in Amps t = time in seconds Problems: • Calculate the years required to plate 216 kg of silver onto the cathode when a 96.5 mAmp current is applied to a solution of AgNO3 : • Calculate the current required to purify 51.0 Kg of aluminum oxide in 96.5 hours. • Determine the voltage of a cell with a copper electrode in 0.10 M CuI & a zinc electrode in 1.0M ZnCl2 at 27oC • Determine the voltage of a cell with a silver electrode in 0.10 M AgNO3 & a zinc electrode in 1.0 M ZnCl2 at 27oC Drill: Calculate the current required to convert 510 kg of aluminum oxide to pure aluminum 5.0 hours: Problems: • Calculate the mass of copper plated onto the cathode when a 9.65 mAmp current is applied to a solution of CuSO4 for 5.0 minutes. • Calculate the time required to electroplate 19.7 mg of gold onto a plate by passing 965 mA current through a solution of Au(NO3)3 • Calculate the time required to purify a 204 kg of ore that is 60.0 % Al2O3 by applying a 965 kA current through molten ore sample: