Title: Lesson 4 Voltaic Cells Learning Objectives: – Explain in simple terms how voltaic cells use redox reactions to produce electricity – Understand that oxidation occurs at the anode and reduction at the cathode – Make a series of voltaic cells in order to better understand the how they work Refresh Consider the following three redox reactions. Cd(s) + Ni2+(aq) → Cd2+(aq) + Ni(s) Ni(s) + 2Ag+(aq) → Ni2+(aq) + 2Ag(s) Zn(s) + Cd2+(aq) → Zn2+(aq) + Cd(s) a) Deduce the order of reactivity of the four metals, cadmium, nickel, silver and zinc and list in order of decreasing reactivity. b) Identify the best oxidizing agent and the best reducing agent. Main Menu Electrochemical Cells The fact that redox reactions involve transfers of electrons suggests a link between this type of chemical reactivity and electricity. Main Menu Voltaic Cells Voltaic cells generate electricity from spontaneous redox reactions… Consider Zin reducing copper ions… When the reaction is carried out in a single test tube, the electrons flow spontaneously from the zinc to the copper ions in the solution, energy is released in the form of heat (exothermic reaction) We can organize this reaction so that the energy is released in the form of electrical energy… We need to separate the two half reactions… Into half cells and allowing the electrons to flow between them only through an external circuit. This is a voltaic or a galvanic cell. Main Menu What is a half cell? If a rod of metal is dipped into a solution of its own ions, an equilibrium is set up. For example: Zn(s) Zn2+(aq) + 2e- zinc metal strip zinc sulfate solution (1 mol dm-3) This is a half cell and the strip of metal is an electrode. The position of the equilibrium determines the potential difference between the metal strip and the solution of metal. 6 of 35 © Boardworks Ltd 2010 Electrode potentials In a zinc half-cell, zinc atoms will form ions by releasing electrons that will make the surface of the metal negatively charged with respect to the solution There will therefore be a charge separation, known as an electrode potential, between the metal and its ions in solution. At the same time, ions in the solutions gain electrons to form Zn atoms, so the equilibrium exists: The position of this equilibrium determines the size of the electrode potential in the halfcell, and depends on the reactivity of the metal. Because copper is the less reactive metal, in it’s half-cell the equilibrium position for the equivalent reaction lies further to the right: E.g. It has less tendency to lose electrons compared to zinc. Consequently, there are fewer electrons to the copper metal strip, so it will develop a higher (or less negative) electrode potential. Main Menu Cells and electrode potentials 8 of 35 © Boardworks Ltd 2010 Two connected half-cells make a voltaic cell The equilibrium for the copper half-cell lies further to the right than the equilibrium in the zinc half cell. If we connect these two half-cells by an external wire, electrons will have a tendency to flow spontaneously from the zinc half-cell to the copper half-cell because of their different electrode potentials. The half-cells connected this way are called electrodes. ANODE OXIDATION -VE CHARGE CATHODE REDUCTION +VE CHARGE Main Menu Key Parts of a Voltaic Cell Anode Cathode REMEMBER AnOx Anode-Oxidation CaRe Cathode-Reduction Connects the metal electrodes in each half cell Electrons flow from anode to cathode Salt Bridge Electrode or ‘half-cell’ where reduction happens Contains the less reactive metal The positive electrode: accepts electrons External circuit Electrode or ‘half-cell’ where oxidation happens Contains the more reactive metal The negative electrode: produces electrons Contains a neutral salt such as potassium or sodium nitrate as it does not interfere with the reactions at the electrodes Made of a tube of jelly or a filter paper soaked in salt solution Ions diffuse in and out to neutralise build up of charge, maintaining the potential difference. Voltmeter Measures the difference in potential between half-cells Could be replaced with other circuitry to do useful work Main Menu Anions move in the salt bridge from the cathode to anode. Cations move in the salt bridge from the anode to cathode. It opposes the flow of electrons in the external circuit. Without a salt bridge, no voltage is generated! Main Menu Combining half cells 1 12 of 35 © Boardworks Ltd 2010 Representing half cells: cell diagrams An electrochemical cell can be represented in a shorthand way by a cell diagram. Eө = -0.76 V Anode Zn(s) | Zn2+(aq) || Cu(aq) | Cu(s) Eө = +0.34 V Cathode The double vertical lines represents a salt bridge. The single lines represent a phase change between the solid metal and the aqueous metal ions. Aqueous solutions are placed next to the salt bridge. The half cell with the greatest negative potential is on the left of the salt bridge, so Ecell = Eright cell – Eleft cell. In this case, Ecell = +0.34 – -0.76 = +1.10 V. The left cell is being oxidized while the right is being reduced. 13 of 35 © Boardworks Ltd 2010 Main Menu Different half-cells make voltaic cells with different voltages Any two half-cells can be connected together to make a voltaic cell. The direction of electron flow and the voltage generated will be determined by the difference in the reducing strength of the two metals. Can be judged by the relative position in the reactivity series. E.g. If we swap the copper half-cell for a silver half cell… A larger voltage would be produced because the difference in electrode potentials will be greater. Electrons would flow from the zinc (anode) silver (cathode) Main Menu If you now swap zinc for copper… Electrons would flow from copper (anode) to silver (cathode) Copper has a greater reducing power, it has the lower electrode potential. From these examples we can summarise: Electrons flow from anode to cathode through the external circuit Anions migrate from cathode to anode through the salt bridge Cations migrate from anode to cathode through the salt bridge Main Menu Another example… The reaction of Mg with Cu2+ ions: Mg(s) + Cu2+(aq) Mg2+(aq) + Cu(s) This reaction involves two electrons being transferred from the Mg to the Cu: The Mg reduces the copper ions as it is more reactive This is an exothermic reaction, and the energy is normally released as heat A voltaic cell forces each half of the reaction to take place in a separate container, with the electrons moving through a circuit to get from one side to the next Mg Mg2+ + 2eCu2+ + 2e- Cu This is an exothermic reaction, where the energy is released as electrical rather than thermal energy The reactions in Voltaic cells usually involve only metals but do not have to. Main Menu Voltaic Cells Continued - + Anode: Cathode: Where oxidation happens Where reduction happens Main Menu Main Menu Main Menu Constructing Voltaic Cells You will need to build and measure the potential of voltaic cells comprising various combinations of the following: Cu/Cu2+ Fe/Fe2+ Mg/Mg2+ Sn/Sn2+ Zn/Zn2+ Follow the instructions here Main Menu General Reminders… Main Menu Comparisons of half-cell electrode potentials need a reference point Potential difference is known as the electromotive force (EMF) Electrons tend to flow from half-cells: more negative potential more positive potential Potential generated is called the cell potential or electrode potential… Symbol is E. Magnitude of this voltage depends on the difference in tendency of reduction of the halfcells. Can’t measure an isolated half cell (no electron flow) So we measure against a fixed reference point… STANDARD HYDROGEN ELECTRODE Main Menu Standard Electrode Potential, Eo Half Cell • This is the potential of a standard electrode relative to the standard hydrogen electrode. Standard Electrode Potential, Eo / V H+(aq) + e- ⇌ ½ H2(g) 0.00 Li+(aq) -3.04 + e- ⇌ Li(s) Mn2+(aq) + 2e- ⇌ Mn(s) -1.19 Cu2+(aq) + 2e- ⇌ Cu(s) +0.34 ½ Br2(l) + e- ⇌ Br-(aq) +1.07 • Always measure the potential of the reduction • Measured in Volts, V • Full table in the data booklet Look at the table in the data booklet: What trends do you notice? How do the values relate to your ideas of reactivity? How do the values compare to the reactivity series you constructed earlier? Comparisons of half-cell electrode potentials need a reference point • Potential difference is known as the electromotive force (EMF) • Electrons tend to flow from half-cells: more negative potential more positive potential • Potential generated is called the cell potential or electrode potential… Symbol is E. • Magnitude of this voltage depends on the difference in tendency of reduction of the half-cells. • Can’t measure an isolated half cell (no electron flow) • So we measure against a fixed reference point… STANDARD HYDROGEN ELECTRODE The standard hydrogen electrode 26 of 35 © Boardworks Ltd 2010 The Standard Hydrogen Electrode Platinum is used as the conducting metal because it is fairly inert, will not ionize and can b a catalyst for reduction Surface of the metal is coated in finely divided platinum to increase surface area for absorption of hydrogen gas The electrode is bathed alternately in H2(g) and H+(aq), setting up an equilibrium Forward - Reduction Standard electrode potential defined as 0.00 V… Backward - Oxidation So we can measure and compare electrode potentials or other half-cells Measuring Standard Electrode Potentials • Temperature = 298K • Pressure = 100 kPa or 1 atm • Substances must be pure • If half cell does not include a solid metal, platinum is used Connecting wire Half-cells measured under these conditions are known as standard half-cells Metal Electrode Aqueous solution of metal ions: [M+] = 1.0 mol dm-3 Combining half cells 2 29 of 35 © Boardworks Ltd 2010 Measuring Standard Electrode Potentials • When the standard hydrogen electrode is connected to another standard hall-cell, the EMF generated is known as the Standard Electrode Potential. • Given the symbol Eө +ve value for Eө (+0.34V) indicates that this has greater tendency to be reduced than H+ Electrons flow from hydrogen half-cell (oxidized) to copper half cell (reduced) Anode Overall reaction equation: Cathode More reactive metals tend to lose their electrons… • H+ will be reduced • Electrons flow toward Hydrogen • -ve value for Eө Overall reaction equation: Anode OXIDISED From the examples we can see: Zinc has a lower Eө than hydrogen so can reduce H+… From the examples we can see: Copper has a higher Eө than hydrogen so cannot reduce H+… Cathode REDUCED Remember, Standard Electrode Potentials are give for REDUCTION reaction • Sometimes known as the Standard Reduction Potentials • Oxidised species on the left, reduced species on the right. Note: • The Eө values do not depend on the total number of electrons, no need to scale according to stoichiometry The electrochemical series The electrochemical series is a list of standard electrode potentials (Eө). The equilibria are written with the electrons on the left of the arrow, i.e. as a reduction. Half cell Half equation Eө / V Mg2+(aq) / Mg(s) Mg2+(aq) + 2e- Mg(s) -2.36 Zn2+(aq) / Zn(s) Zn2+(aq) + 2e- Zn(s) -0.76 2H+(aq) / H2(g) 2H+(aq) + 2e- H2(g) 0 Cu2+(aq) / Cu(s) Cu2+(aq) + 2e- Ag+(aq) / Ag(s) Ag+(aq) + e- Cu(s) Ag(s) +0.34 +0.80 Electrodes with negative values of Eө are better at releasing electrons (i.e. better reducing agents) than hydrogen. 33 of 35 © Boardworks Ltd 2010 Calculating Ecell The e.m.f of an electrochemical cell, Ecell, is the difference between the standard electrode potentials of the two half cells. Ecell = Eө (positive electrode) – Eө (negative electrode) The positive electrode is taken to be the least negative half cell, and the negative electrode is the most negative half cell. This can be worked out from the electrode potentials values in the electrochemical series. 34 of 35 © Boardworks Ltd 2010 Calculating Ecell: worked example An electrochemical cell is set up using the two half reactions below. What potential difference Ecell would this cell generate? Zn2+(aq) + 2e- Zn(s) Eө = -0.76 V Cu2+(aq) + 2e- Cu(s) Eө = +0.34 V Ecell = Eө (positive electrode) – Eө (negative electrode) The zinc half cell has the more negative potential and so forms the negative electrode. Therefore: Ecell = (+0.34) – (-0.76) = +1.10 V 35 of 35 © Boardworks Ltd 2010 Calculating Ecell: combining half equations To find the overall reaction occurring in the cell as a whole, the two half equations are added together: Cu2+(aq) + 2e- Cu(s) Because the zinc half cell forms the negative electrode of the cell, oxidation occurs at this electrode and the half equation must be reversed: Zn(s) Zn2+(aq) + 2e- The two half equations are added to give the overall cell reaction: Zn(s) + Cu2+(aq) 36 of 35 Zn2+(aq) + Cu(s) © Boardworks Ltd 2010 Calculating Ecell 37 of 35 © Boardworks Ltd 2010 Remember, Standard Electrode Potentials are give for REDUCTION reaction • Sometimes known as the Standard Reduction Potentials • Oxidised species on the left, reduced species on the right. • The more positive the Eө value, the more readily it is reduced Note: • The Eө values do not depend on the total number of electrons, no need to scale according to stoichiometry • A selection of electrode potential values are given in section 24 of the IB data booklet