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Unit 4: Electrochemistry Chemistry 3202 CHAPTER 19 Electrochemical Cells (p. 757) An electrochemical cell changes chemical energy into electricity AKA: Galvanic cell or Voltaic cell These cells require spontaneous redox reactions Definitions Electrode: Cathode: The electrode where oxidization occuds Electrolyte The electrode where reduction occurs Anode A conductor that carries electrons into and out of a cell A solute that conduct electric current in an aqueous solution Salt bridge A device containing a salt that completes a circuit between half cells; maintains electrical neutrality without interfering Electrochemical Cells The ½ reactions must be separate such that electron transfer occurs through an external circuit or wire. A salt bridge containing an electrolyte solution connects the ½ cells to complete the circuit. Demo: Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) Oxidation ½ rxn Zn(s) → Zn2+(aq) + 2e- Demo: Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) Cu2+(aq) + 2 e- → Cu(s) Reduction ½ rxn Demo: Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) + - KEY POINTS Oxidation occurs at the anode Reduction occurs at the cathode Electrons move through the wire from the anode to the cathode Cations move toward the cathode Anions move toward the anode Electrochemical Cell Notation anode|anodic ion(s)|| cathodic ion(s)|cathode eg. Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) Zn(s) | Zn2+(aq) | | Cu2+(aq) | Cu(s) Electrochemical Cells Sample Problem: Draw a labeled electrochemical cell for the reaction below. Indicate the cathode, anode, direction of electron flow and the direction of ion flow. Use cell notation to represent the cell. Pb2+(aq) + 2 Ag(s) → Pb(s) + 2 Ag+(aq) Inert Electrodes Some redox reactions involve substances that can’t act as electrodes (gases, mixtures of ions) These cells must use an inert electrode an electrode made from a material that is neither a reactant nor a product. Common inert electrodes include graphite (C(s)) and platinum (Pt(s)) Salt bridge Inert Electrodes eg. Pb(s) |Pb2+(aq) || Fe3+(aq), Fe2+(aq) |Pt(s) anode cathode P. 761 #’s 1 – 4 Standard Reduction Potentials The difference in the potential energy of the electrons at the anode and the cathode is the electric potential, E, of the cell electric potential is usually called cell voltage or cell potential E is measured in volts Standard Reduction Potentials The potential of each ½ cell is found by comparing many redox reactions The table of standard reduction potentials gives the voltage for each ½ reaction in the standard state (1 mol/L and 25 °C) Standard Reduction Potentials The potentials in the table use hydrogen as a reference All cell voltages are derived from the result of two half reactions DO NOT MULTIPLY VOLTAGES when multiplying equations to cancel electrons!! Standard Reduction Potentials eg. Calculate the standard cell potential for the electrochemical cell below: 2 I- (aq) + Br2(l) I2(s) + 2 Br → Br2(l) + 2 e- → 2 I- I2(s) + 2 e- (aq) → 2 Br - (aq) - (aq) +1.07 V -0.54 V +0.53 V Standard Reduction Potentials eg. Calculate the standard cell potential for the electrochemical cell below: 2 Fe3+(aq) + Sn2+(aq) 2 Fe3+(aq) + 2 e - Sn2+(aq) → → → Sn4+(aq) + 2 Fe2+(aq) 2 Fe2+(aq) + 0.77 V Sn4+(aq) + 2 e- - 0.15 V + 0.62 V Standard Reduction Potentials Standard reduction potentials can be used to predict whether a reaction is spontaneous Spontaneous redox reactions have a POSITIVE cell potential OR OA is higher in the table than RA Standard Reduction Potentials eg. Predict the cell voltage for: a) Cu(s) | Cu2+(aq) | | Ag+(aq) | Ag(s) b) 2 Fe2+(aq) + Sn2+(aq) → 2 Fe3+(aq) + Sn(s) p. 773 #’s 5 – 8 Handout Electro #4 Identify the anode and the cathode in this electrochemical cell. [June 2004] # 47 Predicting Redox All redox reactions occur between the strongest oxidizing agent (SOA) and the strongest reducing agent (SRA). Spontaneous reactions will produce the calculated voltage. Non-spontaneous reactions will require slightly more than the calculated voltage. Electrolytic Cells An electrolytic cell converts electrical energy to chemical energy The process that takes place in an electrolytic cell is called electrolysis These cells are used to make nonspontaneous reactions occur (ie. negative cell voltages) Electrochemical Cell electrons → Anode Cathode (-) (+) cations → anions ← Electrolytic Cell + Battery - electrons Anode Cathode (-) (+) cations → anions ← Electrolytic Cells An electrolytic cell uses an external source of electricity such as a battery rather than a voltmeter. The battery forces a non-spontaneous reaction to occur Electrolytic cell Carbon electrode Carbon electrode Cl- Na+ Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) V - Eo = +1.10 V + Electrochemical Cell p. 780 Zn2+(aq) + Cu(s) → Zn(s) + Cu2+(aq) Eo = -1.10 V - + - + Electrolytic Cell FIX p. 780 (connected to positive) (connected to negative) Electrolysis Molten Salts (p. 776) Water Aqueous NaCl Aqueous NiCl2(aq) Handout Electro #5 Electroplating Electrolytic cells may be used to electroplate a thin layer of a more desirable metal over a less desirable metal eg. gold plated jewelry tin cans - CATHODE Reduction (+) + ANODE Oxidation (-) Electroplating object to be plated or covered is the cathode (connected to the negative terminal) metal to be plated or form a thin layer is the anode (connected to the positive terminal) Pretty to positive – ugly to negative p.795 Faraday’s Law Faraday’s Law can be used to determine the amount of substance produced or consumed in an electrolytic cell The amount of substance is directly proportional to the quantity of electricity that flows through the cell (or the electric charge). Faraday’s Law The Coulomb (C) is the unit used to measure the quantity of electricity (Q) flowing in a circuit (or the electric charge). The charge on one mole of electrons is 96,500 Coulombs. This charge is Faraday’s constant: F = 96,500 C/mol Faraday’s Law FORMULA: Q = neF Q = charge in coulombs (C) ne = # of moles of electrons (mol) F = 96,500 C/mol Faraday’s Law one coulomb is the quantity of electric charge that flows through a circuit in one second if the current is one ampere. ie. 1 A = 1 C/sec FORMULA: Q = I t Q = charge in coulombs (C) I = current in amperes (A) t = time in seconds (s) Faraday’s Law From Q = I t and I t = neF Q = neF eg. A spoon was copper plated using CuSO4(aq) in an electrolytic cell that has 3.10 amps of electricity passing through it for 2.50 h. What mass of copper will be deposited? I t = neF (3.10)(2.5 x 60 x 60) = ne x (96,500) 0.289 mol = ne Reaction: Cu2+(aq) + 2 e- → Cu(s) nCu = 0.289 mol e- x mCu 1 Cu = 0.145 mol Cu 2 e= 0.145 mol Cu x 63.55 g/mol = 9.21 g Cu Faraday’s Law eg. 0.423 g of solid Au is deposited on a bracelet using a solution of gold(III) nitrate and 2.00 A of current. For how long was the current applied? n = 0.423g /196.97 g/mol = 0.00215 mol Au Au3+(ag) + 3e- → Au(s) ne = 0.00215 x 3 e-/1 Au = 0.00645 mol eI t = neF (2.00)(t) = (0.00645)(96,500) t = 311 s Page 793 #’s 21 - 24 An electrolytic cell has a zinc strip anode and a zinc strip cathode placed in a solution of zinc sulfate. A current of 0.500 A is supplied for 900.0 seconds. What mass of zinc is electroplated? In an electrolytic cell, 0.061 g of Zn(s) was plated in 10.0 minutes from a solution of ZnCl2(aq). What current was used? The titanium cathode in an electrolytic cell increases in mass by 2.35 g in 36.5 min at a current of 6.50 A. What is the charge on the titanium ion? (Show workings.) Handout Electro #6 Applications Pp. 764 – 766, 787, 788 Dry cell Battery Primary battery Secondary battery Button cell battery Car battery (lead acid) Voisey’s Bay STSE Extra Practice (identifying redox) Last one!! 5 CH3OH(l) + 2 MnO4-(aq) + 6 H+(aq) → 5 CH2O(l) + 2 Mn2+(aq) + 8 H2O(l) Redox Stoichiometry A redox titration could be used to find an unknown concentration of an OA or RA. The colors of the reactants and products serve as indicators Calculations are the same as those in acid-base stoichiometry. Redox Stoichiometry (see p. 742) 5 H2O2 + 2 MnO4- + 6 H+ → 5 O2 + 2 Mn2+ + 8H2O - purple MnO4- changes to the colorless Mn2+ until all of the H2O2 reacts - the endpoint occurs when the purple color remains Redox Stoichiometry 0.174 mol/L Sample Problem: 25.00 mL of a Fe2+ solution was titrated with acidic 0.02043 mol/L K2Cr2O7 solution. The endpoint was reached when 35.55 mL of K2Cr2O7 solution had been added. What was the molar concentration of Fe2+ Cr2O72- + Fe2+ → Cr3+ + Fe3+ (balanced??)