Chemistry 30 Unit VIII – Electrochemistry Electrochemistry - the branch of chemistry dealing with the conversion of chemical energy to electrical energy (and vice versa) - spontaneous redox reactions – converting chemical potential electrical energy - non-spontaneous redox reactions – converting electrical energy chemical potential Galvanic/Voltaic Cells - uses chemical potential energy to generate electrical energy (current) - the redox reaction MUST be spontaneous - used to make batteries (one or more galvanic cells in series – linked together) - to allow a current to flow and for that current to be useful, the two half reactions must be separated – into two half-cells - each half cell is made up of all of the parts necessary for the half-reaction, and must include an electrolyte to allow the ions to flow - the example is a zinc – copper cell - the anode is the site of oxidation – a zinc electrode - it is immersed in a solution of zinc sulfate (the sulfate ions are spectators) - as the zinc is oxidized, it will lose electrons that will flow through the wire (the external circuit) to the site of reduction (from the anode to the cathode) - the cathode is the site of reduction – in this case, a copper electrode - the copper electrode is immersed in a solution of copper (II) sulfate, the sulfate ions are spectators - as the electrons are pulled from the zinc (as it oxidizes) and travel through the wire (the external circuit) to the copper electrode, these electrons will reduce copper (II) ions in solution to copper metal, which will deposit on the cathode (the copper electrode) - the salt bridge, which is made of spectator ions (like KNO3(aq)) forms the internal circuit - the internal circuit is necessary to complete the loop and balance the charges in the half-cells - as the electrons are lost from the anode, this half-cell becomes positively charged - as the electrons are gained at the cathode, this half-cell becomes negatively charged - the movement of anions (negative ions – in this case Cl-(aq) from the salt bridge and SO42(aq) from the CuSO4(aq) solution) to the anode balance the positive charge - the movement of cations (positive ions – in this case, K+(aq) from the salt bridge and SO42(aq) from the ZnSO4(aq) solution) to the cathode balance the negative charge - as the cell operates, a number of observations may be made: - a cell potential (measured in volts, V) may be recorded on a voltmeter attached through the external circuit - the zinc electrode (which is being oxidized) will become lighter (have less mass) - [Zn2+(aq)] will increase - the copper electrode will become heavier (have more mass) - [Cu2+(aq)] will decrease (the solution, which is blue, will become lighter in colour) Some notes on constructing cells: - although by convention we will always write the anode on the left and the cathode on the right, to make a test question more difficult, the exam might have the ½ cells reversed – DETERMINE THE SPONTANEOUS REACTION – that will identify the anode (oxidation) and cathode (reduction) - if the substances being oxidized or reduced don’t contain a solid that could be used as an electrode, use an inert electrode - either Pt(s) (platinum) or C(s) (carbon) – neither of these will react Unit VIII – Electrochemstry page 1 - if a gas is required as a reactant, bubble the gas to the anode (or cathode) through a tube (shown below left) - Instead of separating the half-cells in separate beakers and connecting them with a salt bridge, a porous cup may be used instead – the cup allows the ions to flow through the solutions, but still separates the cells adequately (see above right) Cell Shorthand - to describe a cell without drawing it, the following may be used (by convention, the anode is written on the left, however to make the question more difficult, they may be reversed – ALWAYS CHECK FOR SPONTANEITY!) anode | anode electrolytes || cathode electrolytes | cathode Include gases needed here - Include all substances that are produced/needed that are in the solution if the substances used are not at standard conditions (see the data booklet on p.9 – standards are 25C and 1.0 mol/L solutions), then the conditions must be included in the shorthand. Ex: For the zinc copper cell in the example, where all solutions begin at 0.10 mol/L, the shorthand is: Zn(s) | ZnSO4(aq) (0.10 mol/L) || CuSO4(aq) (0.10 mol/L) | Cu(s) Ex: For a cell of nitrogen monoxide gas (with OH-(aq)) and Fe3+(aq) ions: The half-reactions are found from p.9 Anode: Cathode: NO(g) + 2 OH-(aq) NO2-(aq) + H2O(l) + eFe3+(aq) + e- Fe2+(aq) From these, write the cell shorthand: Pt(s), NO(g) | OH-(aq), NO2-(aq), H2O || Fe3+(aq), Fe2+(aq) | C(s) - a platinum or carbon electrode may be used for both the anode and the cathode since neither half-reaction contains a solid for an electrode include the NO(g) with the anode write all dissolved substances (including water) needed and produced in the half-reaction in the electrolyte section. Unit VIII – Electrochemstry page 2 Standard Electrode Potentials - a certain amount of electrical energy is produced/required when a half-reaction takes place – also known as the electromotive force (EMF) - just like heats of formation, they cannot be determined unless a reaction takes place, so all electrode potentials must be relative to a specific standard – in redox, this standard is the reduction reaction 2 H+(aq) + 2 e- H2(g) E = 0.00 V (at 25C) - all other potentials are measured relative to this value. From the hydrogen ½ cell standard, a cell potential (for a complete cell, both oxidation and reduction) can be determined by setting up a cell with hydrogen as either the anode or the cathode (depending on the strength of the other substance) and another substance. By measuring the overall cell potential, the potential of the other substance may be calculated: Ex: An unknown metal is placed in its cation solution and connected to a standard hydrogen half-cell. If the metal is oxidized and the overall cell potential is 0.76 V, determine the oxidation potential of the unknown metal, and identify the metal. Since it is oxidized, we can write an oxidation ½ reaction for the unknown metal (since we don’t know its charge, we can just use “n”, and the oxidation potential is unknown, let it be “x”: E (V) M(s) Mn+(aq) + nex 2 H+(aq) + 2 e- H2(g) 0.00 0.76 V Since the overall potential is 0.76 V, and the hydrogen cell is 0.00V, then the unknown potential must be 0.76 V. The table on p.9 lists the REDUCTION potentials of each ½ cell, not the oxidation potentials – just like Hess’ Law, when you reverse a reaction, the sign of the electrode potential is reversed. Given this, the unknown metal must be zinc. ** The difference between Hess’ Law and calculating cell potentials is when we balance the reaction by multiplying by a coefficient. In Hess’ Law, heats of formation are multiplied by a coefficient, since the quantity of heat consumed or released is determined by the # moles of the substance. The EMF for a substance is NOT affected by the number of moles since it is the amount of pull – the relative pull for electrons is NOT affected by the number of atoms pulling. Therefore, you DO NOT need to balance the equation and multiply by the coefficients to determine the cell potential. - Cell potentials may be calculated easily using the values on p.9 Ex: What is the cell potential of the following cell: Ag(s) | Ag+(aq) || Cr2+(aq) | Cr(s) First, determine the two reactions – remember it must be a spontaneous reaction (in this case, they switched the convention and wrote the cathode reaction first) Anode: Cr(s) Cr2+(aq) + 2e Cathode: Ag+(aq) + e Ag(s) Then look up the E values on p. 9, remembering to change the sign on the anode (oxidation) reaction E (V) Anode: Cr(s) Cr2+(aq) + 2e 0.91 Cathode: Ag+(aq) + e Ag(s) 0.80 Overall: - 1.71 V The positive value for E for the cell means that the reaction is spontaneous and will generate electrical energy Unit VIII – Electrochemstry page 3 Other types of problems involving cell potential 1. The reference cell is the hydrogen half cell, but sometimes they will ask you to reset it: Ex: what is the reduction potential of an iodine-iodide ion half-cell if the reference cell were sodiumsodium ion instead of hydrogen? Since the reference point is now Na(s) Na+(aq) + e, the entire table has been shifted up by the difference between this ½ cell and the hydrogen ½ cell – a difference of 2.71V. You must add 2.71 V to the Na(s) Na+(aq) + e to get it to 0.00V, so you would add that to every ½ reaction on the table. I2(s) + 2 e 2 I-(aq) would now be 0.54 + 2.71 = 3.25 V If they asked for the oxidation potential instead, you have to remember to reverse the reaction, and therefore change the sign of the potential. Ex: what is the oxidation potential of an cobalt-cobalt(II) ion half-cell if the reference cell were sodiumsodium ion instead of hydrogen? The difference would still be 2.71 V, so add 2.71 V to the reaction they want, which is: Co2+(aq) + 2e Co(s), so E for this reaction is –0.28 + 2.71 = 2.43 V; but since they want an oxidation potential instead, flip the reaction and change the sign, so the oxidation potential is –2.43 V. 2. Determining the potential of an unknown: Ex: (from January 1997 diploma) A NiCad battery has an electrical potential of 1.20 V. The halfreactions are: Anode: Cathode: Cd(s) + 2 OH-(aq) Cd(OH)2(aq) + 2e NiOOH(s) + H2O(l) + e Ni(OH)2(aq) + OH-(aq) E = -0.49 V Determine the reduction potential for the first half-reaction. Since we know the overall potential, set up the reactions as you know them: E(V) Anode: Cd(s) + 2 OH-(aq) Cd(OH)2(aq) + 2e x Cathode: NiOOH(s) + H2O(l) + e Ni(OH)2(aq) + OH-(aq) -0.49 Overall: 1.20 V *** Therefore, 1.20 = -0.49 + x, so x = 1.69 V. *** BUT (and a BIIIIG but) they asked for the REDUCTION potential of the first reaction, so make sure to flip the reaction and change the sign. The correct answer is –1.69V Applications of Spontaneous Redox Reactions Batteries - electrochemical (voltaic, galvanic) cells that are used in power generation - a combination of two chemicals will always produce the same electrical potential (voltage) - to increase voltage, hook more cell together in series (two or more cells in series is a battery) Unit VIII – Electrochemstry page 4 Primary Cells (dry cells) - non-rechargeable - electrolytes are a paste instead of a liquid - most common – Lelanché cell – manganese oxide & zinc, also Zn-HgO2 (get the ½ reactions from p.9) LeLanché Cell E (V) 0.76 1.22 A: Zn(s) Zn2+(aq) + 2e C: MnO2(s) + 4H+(aq) + 2e Mn2+(aq) + 2 H2O(l) Net:Zn(s) + MnO2(s) + 4H+(aq) Zn2+(aq) Mn2+(aq) + 2 H2O(l) 1.98 V Secondary Batteries (storage batteries) - - rechargeable can be very small to very large includes NiCd, lead-acid (cars), Ni-MH, Li-ION car battery = 6 2V cells connected in series to recharge a secondary battery (or cell), run the current through the battery in the opposite direction (reverses both of the half-reactions) BUT if the quantity of H2SO4(aq) gets too low, the battery cannot be recharged Lead Acid Battery: A: Pb(s) + SO42-(aq) PbSO4(s) + 2e C: PbO2(s) + SO42-(aq) + 4 H+(aq) + 2e PbSO4(s) + 2 H2O E (V) 0.36 1.69 Overall: Pb(s) +2SO42-(aq) PbO2(s) + 4 H+(aq) 2 PbSO4(s) 2.05 V Fuel Cells - changes chemical energy from a combustion reaction directly into electrical energy - no turbines necessary – as are presently used in power-generating stations to create electricity from burning coal - a much more efficient way of creating electricity from “combustion” than through burning - requires the continuous addition of reactants/products, involves no toxic waste - usual fuels – oxygen & hydrogen, also the methanol (CH3OH(l)) fuel cell Hydrogen Fuel Cell A: H2(g) + 2 OH-(aq) 2 H2O(l) + 2e C: O2(g) + 2 H2O(l) + 4e 4 OH-(aq) E (V) 0.83 0.40 Overall: 2 H2(g) + O2(g) 2 H2O(l) 1.23 V Unit VIII – Electrochemstry page 5 Corrosion - although this doesn’t seem like an “application” of spontaneous redox reactions, the corrosion of metal behaves just like a voltaic cell: - the reaction between purified metals exposed to oxygen and water - will occur to any metal that is a better reducing agent than OH-(aq) as long as three necessary factors are present: - water - oxygen - electrolyte – there must be at least some electrolyte present, however the more electrolyte, the faster rusting will occur. The pure (exposed) metal acts as the anode – ex: iron Water and oxygen together act as the cathode A: Fe(s) Fe2+(aq) + 2e C: O2(g) + 2 H2O(l) + 4e 4 OH-(aq) ** The Fe2+(aq) formed isn’t what we call “rust” – to form Fe2O3(s), what we call “rust”, two additional steps must take place (you’re not responsible for these, but for interest sake…) When Fe2+(aq) is exposed to oxygen, 4 Fe2+(aq) + 2 O2(g) + 2 H2O(l) 2 Fe3+(aq) + 4 OH-(aq) 2 Fe3+(aq) + 6 OH-(aq) Fe2O3(s) + 3 H2O(l) What we call rust. - To demonstrate the rusting process, nails may be submerged in an agar gel that contains two indicators, the Fe(CN)63-(aq) ion and phenopthalein. - Fe(CN)63-(aq) turns blue in the presence of Fe2+(aq), showing the oxidation of the metal - Phenolpthalein turns pink in the presence of base (OH-(aq)) showing the cathode – reduction of oxygen The following drawings demonstrate the results after only a few days: Fig.1 Fig.2 Fig.3 Fig.4 Figure 1 – illustrates the normal rusting process. The ends of nails which are more stressed than the middle (due to pounding and pushing into boards) will tend to corrode (and therefore show signs of oxidation – the blue colour). The middle of the nail is showing signs of reduction – the presence of the base (OH-(aq)) Figure 2 – shows how rusting can occur when other parts of the nail are stressed – in this case, the nail was bent first, and shows signs of rusting in the middle as well as on the ends. *** Nails on a deck or on a fence will corrode under the board – since the head is exposed to the water and oxygen, this part of the nail will act as the cathode, and be reduced – not deteriorating the iron. Unit VIII – Electrochemstry page 6 The nail underneath will act as the anode, donating electrons – your deck nails are corroding underneath and you can’t even tell!!! Figure 3 – shows the effect of connecting the iron nail to a metal such as copper, which is a weaker RA than iron. The iron corrodes even more than without the copper. In this situation, the iron is behaving as a sacrificial anode. The exposed copper, which would normally corrode itself, is being protected by the iron since it is SRA – it is oxidized instead of the copper. Figure 4 – shows the effect of connecting the iron nail to a metal (in this case zinc) which is SRA than iron. In this case, the iron is protected by the zinc, which is acting as a sacrificial anode. The zinc is donating electrons instead of the iron, protecting the iron from corrosion. So, now that you know all of this, how could you protect a metal from corrosion? Protection from Corrosion - Protect the metal from exposure to water and oxygen - Paint it - Coat it with oil or wax - Coat with plastic - Use a metal that is too weak an SRA to react with water – jewellery is made from Ag(s), Au(s) because they do not react spontaneously (but rather $$) - Plate the cheaper metal with a weak RA like Au(s) or Ag(s). This is much cheaper, but seals the metal that would normally corrode from water and oxygen - Mix the metal into an alloy (by mixing in 5% chromium, this reduces rusting by 80%, at 16% chromium, this almost eliminates rusting) - Coat the metal with a reactive metal (?!?) like zinc – called galvanization - When some metals (like zinc, aluminum, tin, copper, nickel) corrode, they form a protective barrier against further corrosion - Connect the metal (like Fe) to a stronger RA like Zn(s) or Mg(s). The SRA will act as a sacrificial anode, corroding instead of the metal you want to protect - Connect the metal (like Fe) to a battery – the battery will supply the electrons instead of the metal – the battery could be recharged using solar panels – this is called “cathodic protection” Electrolytic Cells So far, we have been interested only in spontaneous redox reactions and their “uses”. In this section, we will be covering the uses of non-spontaneous reactions. Electrolysis - When electrical energy is passed through a solution containing ions (or a molten ionic compound) the energy may be used to power a non-spontaneous redox reaction electrolytic cell - electroylic cells have many different constructions depending on the application, but the general electrolytic cell is shown on the left. Similarities to galvanic cells: - there is both an anode and a cathode - the electrons flow from the anode to the cathode via the external circuit - the cations move to the cathode, anions to the anode - there must be an electrolyte, wire, beaker - the likely reaction will still be the SOA and SRA (but there are exceptions – you must know one – the chlor-alkali cell) Differences: - there is no need to separate the anode and the cathode ½ cells (but sometimes they are…) - a power source (a battery in this diagram) is required to force the nonspontaneous reaction to happen (no current is generated) - the net cell potential is negative! Unit VIII – Electrochemstry page 7 You must be able to: - identify an electrolytic cell and label its parts - draw an electrolytic cell and its parts, including the direction of flow of electrons and ions - predict the likely reaction - write the likely reaction including the predicted required voltage - use observations to confirm a reaction - perform calculations to determine quantities of substances produced/consumed during the operation of a cell (galvanic cells too). Ex: Predict the half-reactions and the likely overall reaction and required voltage of an electrolytic cell containing aqueous sodium iodide. Na+(aq) OA I-(aq) SRA H2O(l) SOA/RA Just like when predicting any other redox reactions, list all of the species and determine the SOA and SRA. The major difference between this and galvanic cells is that they won’t give you as many materials, you won’t have metals and the metal ions for all species present. Often the electrodes are made of platinum or carbon A: 2I-(aq) I2(s) + 2 e C: 2 H2O(l) + 2e H2(g) + 2OH-(aq) E(V) -0.54 -0.83 Net: 2 H2O(l) + 2I-(aq) H2(g) + 2OH-(aq) + I2(s) -1.37 V Once you have the SRA and SOA, write the half-reactions – the oxidation ½ reaction is always the anode, the reduction is the cathode. When you look them up on p.9, it is clear that the reaction is non-spontaneous (the OA is lower than the RA, and when you add the ½ cell potentials, the overall is negative) This reaction is non-spontaneous and would required an input of 1.37 V. Evidence of this reaction would include an appearance of a brown solution (dissolved iodine is brown), an increase in pH (the production of OH-(aq)) and bubbles (H2(g)) *** These reactions are theoretical only – some Na+(aq) may also reduce. *** Water is often the SRA or SOA (sometimes even both!) Ex: Predict the likely reactions in the electrolysis of aqueous sodium sulfate. Na+(aq) OA SO42-(aq) RA H2O(l) SOA/SRA In this case, water is going to act as both the SOA and SRA – when the same substance is both the OA and RA (both oxidized and reduced) this is called DISPROPOTIONATION A: 2 H2O(l) O2(g) + 4H+(aq) + 4e C: 2 H2O(l) + 2e H2(g) + 2OH-(aq) E(V) -1.23 -0.83 X 2 Net: 6 H2O(l) 2 H2(g) + O2(g) + 4H+(aq) + 4 OH-(aq) -2.06V This reaction commonly takes place in a “Hoffman’s Apparatus”. - Although the electrolyte (which is the sodium sulfate) spans both the anode and the cathode, the anode and cathode collect separately. - At the anode, oxygen gas is collected (which can be tested with a glowing splint that will relight), and as hydrogen ions are produced, blue litmus paper will turn red - At the cathode, twice as much hydrogen gas is collected (which will pop with a lit splint), and since hydroxide ions are produced, red litmus paper will turn blue. Unit VIII – Electrochemstry page 8 The Chlor-Alkali Cell/ Electrolysis of Brine (NaCl(aq)) (The Exception you MUST know) In Fort Saskatchewan (outside Edmonton) there are huge salt caves. Water is pumped into the caves to dissolve the salt, and then the salt water (brine) is separated using electrolysis. Ex: Predict the likely reactions in the electrolysis of NaCl(aq) (brine) Na+(aq) OA Cl-(aq) RA In predicting this reaction, water is both the SOA and SRA…. So the likely reaction is water being oxidized and reduced, but this is not the case… H2O(l) SRA/SOA p.9 E(V) Cl2(g) + 2e 2 Cl-(aq) 1.36 O2(g) + 4H+(aq) + 4e 2 H2O(l) 1.23 SRA The Cl-(aq) ½ reaction is fairly close in potential to the H2O(l) ½ reaction and in reality the water ½ reaction is SOOOOOO slow that IF (and only if) there is enough electrical energy provided, even though the SRA is water, the FRA (faster reducing agent) is Cl (aq) and this reaction will actually occur….. this is called OVERVOLTAGE (if enough energy is provided, a weaker OA or RA will react if this reaction is faster) So the reactions are, if enough energy is provided: SOA 2 H2O(l) + 2e H2(g) + 2 OH-(aq) -0.83 Na+(aq) + e Na(s) -2.71 Very little gas will be collected since Cl2(g) is highly soluble Chlorine bubbles E(V) -1.23 -1.36 -0.83 A: 2 H2O(l) O2(g) + 4H+(aq) + 4e A: 2 Cl-(aq) Cl2(g) + 2e C: 2 H2O(l) + 2e H2(g) + 2 OH-(aq) Net: 2 H2O(l) + 2 Cl-(aq) H2(g) + 2 OH-(aq) + Cl2(g) -2.19 V This reaction can also be demonstrated in a “Hoffman’s Apparatus”. - This reaction will produce the same products at the cathode as with sodium sulfate - The anode reaction is confirmed by the presence of chlorine gas as a product (when tested with litmus paper, it bleaches the paper and you can smell the chlorine gas) Other Uses of Electrolytic Cells - Electroplating - Deposits a thin uniform layer of metal on a conducting surface – you can plate non-conducting materials by treatin them with wax or a graphite laquer - Used to plate gold on copper jewellery, make silver plated cutlery, create “bronze” baby shoes, etc. - If you want to plate copper, use a solution of CuSO4(aq), place the object you want to plate at the CATHODE (in this case a fork). - From the contents, Cu2+(aq), SO42-(aq), H2O(l), the SRA will be H2O and the SOA will be Cu2+, which will cause the copper(II) ion to be reduced at the cathode (plated onto the cathode). - Purifying metals – electrolytic purification - By choosing the voltage carefully, you can sequentially plate metals out of a solution starting with the metal requiring the least voltage to plate (the metals will always be plated on the cathode) Unit VIII – Electrochemstry page 9 - The Down’s Cell (the separation of MOLTEN sodium chloride (NaCl(l)) - Since Na+ is such a weak OA, it will never plate from an aqueous solution, so to obtain pure sodium, water must not be available as an OA. To plate Na(s), start with molten (melted) sodium chloride so that the only substances present are Na+(l) and Cl-(aq), then Na+ will be reduced at the cathode and Cl- will be oxidized at the anode. Electron Stoichiometry (or Quantitative Electrolysis) Since ½ reactions are balanced in mole:mole ratios with chemical substances and electrons, stoichiometric calculations may be performed using moles of electrons (strange but true) and Faraday’s laws. Faraday’s laws - The amount of product/reactant produced/consumed is proportional to the time a circuit is in operation - For 1 mol of a product, 9.65x104 C is required per electron per mol of product (this is the conversion factor for mol of e and mol of charge) A couple of definitions: Charge (q) – the electrical charge (measured in Coulombs, “C”); - the charge on 1 electron is 1.60x10-19C - the charge per mol of electrons is 9.65x104 C (the conversion unit is 9.65x104 C/mol e) Current (I) – the amount of electricity through the cell per second (measured in Amperes, A = C/s) - the conversion unit you will use is the value for current in C/s (Coulombs per second) To solve these problems, always use a balanced equation that includes electrons! (Half-reaction only!) Ex: Calculate the mass of copper plated from a solution of CuSO 4(aq) if the cell is run for 75 min. at a current of 1.75A. Cu2+(aq) + 2e Cu(s) - As in all stoichiometry, start with a balanced equation – whenever you see time and current, it will always be a ½ reaction involving whatever substance they mention. Some of the conversion units are new, but they still work – always change A to C/s so you can cancel the time, and use 9.65x104C/mol e to get to moles of electrons Write A as C/s to cancel the time Use the conversion unit to get to moles of electrons Convert time to s xgCu (s ) 1.75C 75 min 60s 1mole 1molCu 63 .55 gCu s 1min 9.65 10 4 C 2mole 1molCu 2.6gCu (s ) Molar ratio of electrons to Cu from the ½ reaction Unit VIII – Electrochemstry page 10 Ex: What current must be applied to plate 0.755 g of silver from a solution of AgNO3(aq) in 10.0 min? Ag+(aq) + e Ag(s) xC 0.755 gAg 1molAg 1mole 9.65 x10 4 C 1 1min s 107 .87 gAg 1molAg 10 .0 min 60 s mole 1.13 Current is in A or C/s (use C/s to cancel units) C s 1.13 A Unit VIII – Electrochemstry You need time on the bottom page 11