Title: Lesson 7 Standard Electrode Potential Learning Objectives: – Describe the standard hydrogen electrode – Define the term standard electrode potential – Use standard electrode potentials to calculate the potential of a cell – Use standard electrode potentials to determine the feasibility of a reaction Refresh Which processes occur during the electrolysis of molten sodium chloride? I. II. III. A. B. C. D. Sodium and chloride ions move through the electrolyte. Electrons move through the external circuit. Oxidation takes place at the anode. I and II only I and III only II and III only I, II and III Justify your answer. 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 7 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 10 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. 14 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. 15 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 16 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) 17 of 35 Zn2+(aq) + Cu(s) © Boardworks Ltd 2010 Calculating Ecell 18 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 Using Standard Electrode Potential Data • Because Standard Electrode Potential data are all referenced to the same point, it provides us a relative scale for us to make predictions about redox reactions and the direction of electron flow. There are three specific applications of using Eө: 1. Calculating the cell potential, Eө cell 2. Determining spontaneity of a reaction 3. Comparing relative oxidising and reducing power of half-cells 1. Calculating the cell potential, Eө cell • From the Eө values for any two half-cells, we can calculate the EMF for the voltaic cell • The higher Eө value will be REDUCED, the lower Eө value will be OXIDISED Note: • The Eө values must be the reduction potentials as supplied in the data tables • The Eө values do not need to be scaled according to stoichiometry 2 Determining spontaneity of a reaction A voltaic cell will always run in the direction that gives a positive value for the Eө values • If a Eө cell is positive reaction is spontaneous • If a Eө cell is negative reaction is non spontaneous (but spontaneous if the reaction is reversed) Electrode potential and free energy change (Eө cell and ΔG) • We have seen two quantitative measures of the spontaneity of a reaction, Eө cell and ΔG (free energy change – chapter 5) • These values can be directly related through this equation: Where: • N = number of moles of electrons transferred in the reaction; • F = the charge carried by 1 mole of electrons (Faraday’s constant = 96500 C mol-1) • When Eө cell is positive, ΔG is negative spontaneous reaction • When Eө cell is negative, ΔG is positive non-spontaneous reaction • When Eө cell is 0 (zero), ΔG is 0 (zero) reaction is at equilibrium The more positive the value of Eө cell, the more energetically favourable. A voltmeter can be an indirect measure of free energy change as well as of electrode potential. 3 Comparing relative oxidizing and reducing power of half-cells • Calculations using Eө for half reactions confirms the order of the activity series. • Trends are summarised here: Final note about Eө data: Feasibility and rate are two different considerations. A spontaneous reaction may give no observable sign of reaction because the activation energy may be too high for the reaction to occur at an observable rate. Solutions