Chemistry 30 Unit 7: REDOX Reactions Teacher A Simple Redox Experiment When a copper wire is placed in an aqueous solution of silver nitrate, a spectacular reaction results. Within minutes a large number of shiny metallic crystals form on the wire, and the solution turns pale blue. When we shake off the crystals, we observe that much of the copper wire has disappeared. The crystals are silver crystals and the blue colour of the solution indicates the presence of hydrated copper ions. Copper metal has displaced silver from its salt. Cu(NO3)2(aq) + 2 Ag(s) Cu(s) + 2 AgNO3(aq) Cu2+(aq) + 2 Ag(s) Cu(s) + 2 Ag+(aq) Copper atoms in the wire each lose two electrons and go into solution as hydrated copper ions. The electrons are transferred to hydrated silver ions, which crystallize as metallic silver. Any reaction in which electrons are lost is called an oxidation reaction. A reaction that involves the gain of electrons is called a reduction reaction. In the copper-silver nitrate reaction, the copper metal is oxidized to copper ions and the silver ions are reduced to silver metal. Because oxidation and reduction reactions always take place concurrently, we refer to these reactions as redox reactions. Electronegativity and Oxidation Numbers The oxidation number tells us how many electrons an atom in a compound would gain or lose. In assigning oxidation numbers we assume that the electrons of each bond are transferred to the more electronegative atom in the bond. A positive oxidation number indicates a loss of electrons and a negative number indicates a gain of electrons. The oxidation number of an atom in its pure form, as an element, is zero. The oxidation number of a monatomic ion is equal to the charge on the ion, since the charge indicates the number of electrons lost or gained. Example What are the oxidation numbers of each element in calcium chloride? CaCl2 Ca2+ + 2 Cl− Ca = +2 and Cl = −1 (+2) + 2(−1) = 0 Example What are the oxidation numbers of iron in the two iron oxides, FeO and Fe2O3? Assume that oxygen has an oxidation number of −2 in each case. The sum of the oxidation numbers in each compound will be zero. FeO = Fe2+ + O2− Fe2O3 = 2 Fe3+ + 3 O2− Fe = +2 and O = −2 Fe = +3 and O = −2 (+2) + (−2) = 0 2(+3) + 3(−2) = 0 -2- Oxidation Number Rules 1. The oxidation number of an atom in its pure form, as an element, is zero. 2. The oxidation number of a monatomic ion is equal to the charge on the ion. 3. The algebraic sum of the oxidation numbers in a neutral polyatomic compound is zero. 4. The algebraic sum of the oxidation numbers in a polyatomic ion is equal to the charge on the ion. 5. The most common oxidation number for hydrogen is +1; in metal hydrides it is −1. In most of its compound, hydrogen has the lowest electronegativity value and an oxidation number of +1. But in metal hydrides, such as sodium hydride, NaH, the hydrogen is bonded to a less electronegative metal and has an oxidation number of −1. 6. The most common oxidation number for oxygen is −2; in peroxides it is −1, and in combination with fluorine it is +2. 7. In combinations of nonmetals, the oxidation number of the more electronegative atom is negative. The oxidation number of the less electronegative atom is positive. Example H He 2.01 - What are the oxidation numbers of oxygen and fluorine in oxygen difluoride, OF2? Li 0.98 1.57 2.04 2.55 3.04 3.44 3.98 - The electronegativity values of oxygen and fluorine are 3.44 and 3.98 respectively. The fluorine atoms attract electrons more strongly than oxygen; therefore it is assigned the negative oxidation number, and the oxygen, the positive oxidation number. Na Al OF2 = O2+ + 2 F− O = +2 and F = −1 (+2) + 2(−1) = 0 Be Mg B C Si Ar Ga Ca Ge As Se Br Kr 0.82 1.00 1.81 2.01 2.18 2.55 2.96 3.0 Rb In Sr Sn Sb Te I Xe 0.82 0.95 1.78 1.96 2.05 2.1 2.66 2.6 Cs Tl Po At Rn 2.04 2.33 2.02 2.0 2.2 - Ba b) ethyne, C2H2 b) Cl Ne K Pb What is the oxidation number of carbon in each of the following compounds: C2H6 = 2 C3− + 6 H+ S F 1.61 1.90 2.19 2.58 3.16 - Example a) P O 0.93 1.31 0.79 0.89 a) ethane, C2H6 N C2H2 = 2 C− + 2 H+ C = −3 and H = +1 C = −1 and H = +1 2(−3) + 6(+1) = 0 2(−1) + 2(+1) = 0 -3- Bi Oxidation Numbers of Atoms in Polyatomic Ions or Molecules Example What are the oxidation numbers of the elements in the fluorosulfate ion, FSO3−? FSO3− = F− + S6+ + 3 O2− F = −1, S = +6, and O = −2 (−1) + (+6) + 3(−2) = −1 Example What are the oxidation numbers of each of the elements in sodium perxenate, Na4XeO6? Na Xe O +1 Xe −2 4(+1) + (Xe) + 6(−2) = 0 4 + (Xe) + (−12) = 0 Xe = +8 Na = +1, Xe = +8, and O = −2 Example What are the oxidation numbers of each of the elements in ammonium carbonate, (NH4)2CO3? NH4+ = N H C O N +1 C −2 (N) + 4(+1) = +1 CO32− = (C) + 3(−2) = −2 (N) + 4 = +1 (C) + −6 = −2 N = −3 C = +4 N = −3, H = +1, C = +4, and O = −2 Determine Oxidation Numbers Assign Redox Reactions An increase in the oxidation number of an atom indicates that it has lost electrons and has undergone oxidation. A decrease in the oxidation number of an atom means an increase in the number of electrons and indicates reduction. Since electrons are neither created nor destroyed in chemical reactions, the total number of electrons will always remain unchanged. This means that the loss of electrons must always be accompanied by the opposite process – the gain of electrons. In other words, oxidation and reduction are processes that always take place together. The element that undergoes oxidation is the reducing agent. The element that undergoes reduction is the oxidizing agent. -4- Example Which of the following reactions is a redox reaction? 2 NaCl(aq) + Br2(aq) a) 2 NaBr(aq) + Cl2(aq) 2 NaCl(aq) + H2S(g) b) 2 HCl(aq) + Na2S(aq) 2 NaCl(aq) + Br2(aq) a) 2 NaBr(aq) + Cl2(aq) +1 −1 0 +1 −1 2 NaCl(aq) + H2S(g) b) 2 HCl(aq) + Na2S(aq) 0 +1 −1 Bromide to bromine increases from −1 to 0 (oxidation) +1 −2 +1 −1 +1 −2 No change Chlorine to chloride decreases from 0 to −1 (reduction) Activity Series of Metals Example Use the activity series to predict whether a reaction takes place when the following substances are mixed. If there is a reaction, complete and balance the equation, and then write the net ionic equation. a) Fe(s) + ZnSO4(aq) b) Al(s) + H2SO4(aq) c) Sn(s) + CuSO4(aq) no reaction a)Fe(s) + ZnSO4(aq) Al2(SO4)3(aq) + 3 b)2 Al(s) + 3 H2SO4(aq) H2(g) 2 Al3+(aq) + 3 H2(g) 2 Al(s)+ 6 H+(aq) The Activity Series Lithium Potassium These metals displace hydrogen from water Barium Calcium Sodium Magnesium Aluminium Zinc Chromium These metals displace hydrogen from acids. Iron Cadmium Nickel Tin Lead Hydrogen Copper These metals do not displace hydrogen from Mercury Acids or water. Silver Gold SnSO4(aq) + Cu(s) c) Sn(s) + CuSO4(aq) Sn2+(aq) + Cu(s) Sn(s) + Cu2+(aq) -5- Oxidizing and Reducing Agents A good oxidizing agent must be a good electron acceptor and a good reducing agent must be a good electron donor. The cheapest and most widely-used oxidizing agent is atmospheric oxygen. Elemental chlorine is also a good oxidizing agent. The most commonly-used reducing agent is hydrogen gas. Reactive metals such as magnesium and aluminium are also good reducing agents. Example Consider the addition or removal of oxygen atoms, as well as the change in oxidation numbers, to determine which substance is oxidized and which is reduced in the following reaction: CH3OH(aq) + 2 HClO(aq) HCO2H(aq) + 2 HCl(aq) + H2O(l) methanol formic acid hypochlorous acid Carbon increases from −2 to +2 (oxidized) Chlorine decreases from +1 to −1 (reduced) Balancing Redox Equations Using Oxidation Numbers In a balanced redox equation, the total increase in oxidation number of the element that is oxidized must equal the total decrease in oxidation number of the element that is reduced. Procedure: 1. Assign oxidation numbers to all the atoms in the equation. 2. Identify which atoms undergo a change in oxidation number. 3. Determine the ratio in which these atoms must react so that the total increase in oxidation numbers equals the decrease. 4. Balance the redox participants in the equation. 5. Balance the other atoms by the inspection method. Example: Balance the following redox reaction HNO3 + H2S Step 1: +1+5−2 +1−2 NO + S + H2O +2−2 0 +1−2 Step 2: Only nitrogen and sulfur undergo a change Step 3: Nitrogen: +5 +2, a decrease of 3 Sulfur: −2 0, an increase of 2 Step 4: 2 NO + 3 S + H2O 2 HNO3 + 3 H2S Step 5: 2 NO + 3 S + 4 H2O 2 HNO3 + 3 H2S -2- Example: Balance the following redox reaction Mn2+ + HSO4− + H2O MnO4− + H2SO3 + H+ Step 1: +7 −2 +1+4−2 +1 +2 +1+6−2 Step 2: Only manganese and sulfur undergo a change Step 3: Manganese: +7 +2, a decrease of 5 +1−2 Sulfur: +4 +6, an increase of 2 Step 4: 2 Mn2+ + 5 HSO4− + H2O 2 MnO4− + 5 H2SO3 + H+ Step 5: 2 Mn2+ + 5 HSO4− + 3 H2O 2 MnO4− + 5 H2SO3 + H+ Examples a) HIO3 + NO2 + H2O I2 + HNO3 0 +1+5−2 +1+5−2 +4−2 +1−2 2 HIO3 + NO2 + H2O I2 + HNO3 Only iodine and nitrogen undergo a change Iodine: 0 → +10, an increase of 10 Nitrogen: +5 → +4, a decrease of 1 2 HIO3 + 10 NO2 + H2O I2 + 10 HNO3 2 HIO3 + 10 NO2 + 4 H2O I2 + 10 HNO3 b) Br2 + H2O HBr + HBrO3 +1−1 +1+5 −2 0 +1 −2 Each bromide undergoes a change to bromine Bromine: −1 → 0, an increase of 1 Bromine: +5 → 0, a decrease of 5 3 Br2 + H2O 5 HBr + HBrO3 3 Br2 + 3 H2O 5 HBr + HBrO3 Balancing Using Oxidation #s Assign -3- Half-Reactions By separating a redox reaction into two half-reactions, we can get a better understanding of how redox reactions take place. MgCl2(s) Mg(s) + Cl2(g) Mg2+(s) + 2 e− Mg(s) 2 Cl−(s) Cl2(g) + 2 e− Cu(NO3)2(aq) + 2 Ag(s) Cu(s) + 2 AgNO3(aq) Cu2+(aq) + 2 NO3−(aq) + 2 Ag(s) Cu(s) + 2 Ag+(aq) + 2 NO3−(aq) Cu2+(aq) + 2 Ag(s) Cu(s) + 2 Ag+(aq) Cu2+(aq) + 2 e− Cu(s) 2 Ag(s) 2 Ag+(aq) + 2 e− Example Write the half-reactions for the reaction: 2 AlCl3(aq) + 3 H2(g) 2 Al(s) + 6 HCl(aq) 2 Al3+(aq) + 3 H2(g) 2 Al(s) + 6 H+(aq) Oxidation: 2 Al3+(aq) + 6 e− 2 Al(s) Reduction: 3 H2(g) 6 H+(aq) + 6 e− Ion-Electron Method We can use half-reactions to balance redox equations. When we do so, we are using the ion-electron method. 1. Write balanced oxidation and reduction half-reactions. 2. Change the coefficients in the balanced half-reactions so that the number of electrons produced in the oxidation half-reaction equals the number of electrons consumed in the reduction half-reaction. 3. Add the two half-reactions to obtain a balanced net ionic equation for the redox reaction. -4- In acidic solution: To write a balanced half-reaction for the oxidation of ethanol, C2H5OH to acetic acid, CH3CO2H, in acidic solution, we would follow the steps outlined below. 1. Write the skeletal equation: CH3CO2H C2H5OH 2. Balance for species other than oxygen and hydrogen: CH3CO2H (no change) C2H5OH 3. Balance for oxygen using one water molecule for each oxygen you require: CH3CO2H C2H5OH + H2O 4. Balance for hydrogen using a hydrogen ion for each hydrogen you require: CH3CO2H + 4 H+ C2H5OH + H2O 5. Balance for charge by adding electrons to either the product or reactant side: CH3CO2H + 4 H+ + 4 e− C2H5OH + H2O In basic solution: We will use the reduction of the permanganate ion to manganese(IV) oxide in basic solution as an example. 1. Write the skeletal equation: MnO2 MnO4− 2. Balance for species other than oxygen and hydrogen: MnO2 (no change) MnO4− 3. Balance for oxygen atoms by adding one water molecule for each oxygen that you require: MnO2 + 2 H2O MnO4− 4. Balance for hydrogen atoms by adding one hydrogen ion for every hydrogen atom: MnO2 + 2 H2O MnO4− + 4 H+ 5. For every hydrogen ion add one hydroxide ion to both sides of the equation: MnO2 + 2 H2O + 4 OH− MnO4− + 4 H+ + 4 OH− 6. Combine hydrogen and hydroxide ions to form water: MnO2 + 2 H2O + 4 OH− MnO4− + 4 H2O 7. Balance for charge by adding electrons: MnO2 + 2 H2O + 4 OH− MnO4− + 4 H2O + 3 e− 8. Finally, cancel water molecules: MnO2 + 4 OH− MnO4− + 2 H2O + 3 e− -5- Example Write a balanced half-reaction for the oxidation of aluminum metal to the aluminate ion (AlO2−) in basic solution. AlO2−(aq) Al(s) AlO2−(aq) Al(s) + 2 H2O(l) AlO2−(aq) + 4 H+(aq) Al(s) + 2 H2O(l) AlO2−(aq) + 4 H+(aq) + 3 e− Al(s) + 2 H2O(l) AlO2−(aq) + 4 H+(aq) + 3 e− + 4 OH−(aq) Al(s) + 2 H2O(l) + 4 OH−(aq) AlO2−(aq) + 4 H2O(l) + 3 e− Al(s) + 2 H2O(l) + 4 OH−(aq) AlO2−(aq) + 2 H2O(l) + 3 e− Al(s) + 4 OH−(aq) Balancing Half Reactions Assign Combining Half-Reactions We can combine the half-reactions for the reduction of iron(III) to iron(II) with the oxidation of hydrogen gas to hydrogen ion: Fe2+(aq) Fe3+(aq) + e− 2 H+(aq) + 2 e− H2(g) 2 Fe2+(aq) 2 Fe3+(aq) + 2 e− (multiply by 2) 2 H+(aq) + 2 e− H2(g) ___________________________________________________________________________________________________________________________ 2 Fe2+(aq) + 2 H+(aq) 2 Fe3+(aq) + H2(g) The Full Ion-Electron Method A reaction between the purple permanganate ion and iron(II) ion in acid solution to produce the colourless manganese(II) ion and the iron (III) ion. Mn2+ + Fe3+ MnO4− + Fe2+ Mn2+ + 4 H2O MnO4− Mn2+ + 4 H2O MnO4− + 8 H+ + 5 e− Fe3+ + e− Fe2+ 5 Fe3+ + 5 e− 5 Fe2+ (multiply by 5) Mn2+ + 4 H2O MnO4− + 8 H+ + 5 e− 5 Fe3+ + 5 e− 5 Fe2+ ___________________________________________________________________________________________________________________________________________ Mn2+ + 4 H2O + 5 Fe3+ MnO4− + 8 H+ + 5 Fe2+ -6- Example Use the ion-electron method to write a balanced equation for the reaction between copper metal and concentrated nitric acid to produce copper(II) ions and nitrogen dioxide gas. Cu2+ + NO2 Cu + HNO3 NO2 + H2O HNO3 NO2 + H2O HNO3 + H+ NO2 + H2O HNO3 + H+ + e− Cu2+ Cu Cu2+ + 2 e− Cu 2 NO2 + 2 H2O 2 HNO3 + 2 H+ + 2 e− (multiply by 2) Cu2+ + 2 e− Cu __________________________________________________________________________________________________________________________________ 2 NO2 + 2 H2O + Cu2+ 2 HNO3 + 2 H+ + Cu See Ion Electron Assign Electrochemical Cells An electrochemical cell uses energy released from a spontaneous redox reaction to generate an electric current. The current is derived from the flow of electrons through metal, called metallic conduction, and the movements of ions in solution, called electrolytic conduction. A battery consists of a single electrochemical cell or a number of cells connected in series. How Electrochemical Cells Work When a piece of zinc metal is placed in an aqueous solution of copper(II) sulfate, a rapid redox reaction takes place. Electrons are transferred from the zinc metal to the copper ions. The reaction is spontaneous since zinc oxidizes more readily than copper. It appears above copper in the activity series: Zn2+(aq) + Cu(s) Zn(s) + Cu2+(aq) Oxidation: Zn2+(aq) + 2 e− Zn(s) Reduction: Cu(s) Cu2+(aq) + 2 e− The electrical circuit of an electrochemical cell consists of two parts, an external circuit and an internal circuit. -7- Electrode: an electrically-conducting medium, usually a solid, that is used to make electrical contact Anode: the site of oxidation and electron release Cathode: the site of reduction and electron consumption Potential difference: the force that pushes the electrons from the anode to the cathode (a.k.a. emf) Volts: a unit used to measure potential difference Salt bridge: a device filled with a salt solution that connects the half-cells to allow the passage of ions and to maintain the electrical neutrality of the two solutions As the reaction continues, the voltage decreases and finally becomes zero when the reaction reaches equilibrium. The cell will then be “dead.” Notation for an Electrochemical Cell Zn( s ) Zn 2 ( aq ) (1 M ) Cu 2 ( aq ) (1 M ) Cu( s ) By convention the anode appears on the left, the cathode on the right. The single vertical lines indicate the contact boundaries between phases in each half-cell. The double vertical lines represent the salt bridge or separator. An electrochemical cell is referred to as a standard cell when the reactant and product ions or molecules are present in concentrations of 1.0 M. -8- Example When the metal electrodes of an electrochemical cell are connected by a voltmeter, the meter indicates a potential difference of 0.46 V. a) using the activity series (page 8), identify the half-reaction taking place at each electrode. From the position of the metals in the activity series we conclude that copper oxidizes more readily than silver and that silver ions reduce more readily than copper ions. The half-reactions are therefore: b) Anode (oxidation): Cu2+(aq) + 2 e− Cu(s) Cathode (reduction): Ag(s) Ag+(aq) + e− Write the shorthand notation for the cell, identifying the anode and cathode, and indicate the direction of movement of electrons and ions. The copper electrode is the anode; the silver electrode is the cathode. The correct notation for this standard cell is Cu( s ) Cu 2 ( aq ) Ag ( aq ) Ag ( s ) (Cu(s) to Ag(s)) e− cathode cations (+) anions (−) anode See Cell Assign -9- Standard Electrode Potentials An almost unlimited number of half-cells can be constructed and combined into electrochemical cells. However, the reduction potential of each half-cell, the tendency of its ions and molecules to gain electrons, will be different. As a result, the electrodes will have different electrical potentials. Unfortunately we cannot measure the electrical potential of one half-cell. We can only measure the voltage difference, or emf, between two half-cells by combining them into an electrochemical cell. For example, a cell voltage of 1.10 V in the standard zinc-copper ion cell tells us that the reduction potential below zinc in the activity series. It also means that the oxidation potential (the tendency to lose electrons) is 1.10 V greater for zinc than copper. Standard Half-cell Potentials The standard hydrogen electrode has been assigned a standard potential (E °) of 0.00 V. H2(g) 2 H+(aq) + 2 e− 1M E ° = 0.00 V 100 kPa T = 25°C This electrode is then used as a reference to assign potentials to other half-cells. The measured electromotive force of a standard electrochemical cell containing a hydrogen half-cell is the standard potential (E °) of the second half-cell. The standard reduction potential of a half-cell is a measure of the tendency to gain electrons from the hydrogen half-cell. Ions or molecules with negative reduction potentials gain electrons less easily than hydrogen ions. Those with positive values gain electrons more easily than hydrogen ions. o Lithium ions in aqueous solution have the weakest tendency to gain electrons (E ° = −3.05 V); molecular fluorine has the greatest potential to gain electrons (E ° = +2.87 V). Calculating Standard Cell Potentials In an electrochemical cell, one half-cell undergoes reduction while the other undergoes oxidation. Thus when we are combining half-reactions and calculating the cell potential, one of the tabulated reduction equations will have to be reversed and the sign of the potential changed. Let us find the potential for the following standard cell: Fe( s ) Fe2 ( aq ) 1 M Cu 2 ( aq ) (1 M ) Cu( s ) From table: Fe(s) Fe2+(aq) + 2 e− E ° = −0.44 V Cu(s) Cu2+(aq) + 2 e− E ° = +0.34 V The Fe 2 Fe half-cell is the anode. Thus we reverse the Fe 2 Fe standard half-cell reduction reaction and the sign of E ° to give: Fe2+(aq) + 2 e− Fe(s) E ° = +0.44 V Cu(s) Cathode (reduction) Cu2+(aq) + 2 e− E ° = +0.34 V Anode (oxidation) The sum of these half-cell potentials provides the potential of the cell. E °cell = 0.44 V + 0.34 V = 0.78 V - 10 - Example Calculate the potential of the standard cell: Zn( s ) Zn 2 ( aq ) (1 M ) Cl ( aq ) (1 M ) Cl2( g ) (100 kPa), Pt( s ) First we determine the half-reactions from the shorthand notation of the cell. We reverse the Zn Zn2+ standard half-cell reduction and the sign of E ° given in table thus, Zn2+(aq) + 2 e− Zn(s) E ° = +0.76 V 2 Cl−(aq) Cathode (reduction) Cl2(g) + 2 e− E ° = +1.36 V Anode (oxidation) E °cell = 0.76 V + 1.36 V = 2.12 V Predicting Spontaneity of Redox Reactions Reduction potentials can also be used to predict whether a redox reaction is spontaneous or nonspontaneous. A redox reaction is spontaneous when the sum of the potentials of the half-reactions is positive. The reaction is nonspontaneous when the sum is negative. Example Predict whether sulfur dioxide and bromine will react in aqueous solution given the equation: SO42−(aq) + 2 Br−(aq) + 4 H+(aq) SO2(g) + Br2(aq) + 2 H2O(l) Oxidation: SO42−(aq) + 4 H+(aq) + 2 e− SO2(g) + 2 H2O(l) E ° = −0.18 V Reduction: 2 Br−(aq) Br2(aq) + 2 e− E ° = +1.09 V E °cell = −0.18 V + 1.09 V = +0.91 V Half Cell Potentials and Spontaneity Assign - 11 - Standard Reduction Potentials at 25oC* 4 OH-(aq) O2(g) + 2 H2 + 4 e- +0.40 Half-Reaction E0 (V) 2 I-(aq) I2(s) + 2 e- +0.53 Li(s) Li+(aq) + e- -3.05 +0.59 K(s) K+(aq) + e- -2.93 MnO2(s) + MnO4-(aq) + 2 H2O + 3 e- 4 OH (aq) Ba(s) Ba2+(aq) + 2 e- -2.90 H2O2(aq) O2(g) + 2 H+(aq) + 2 e- +0.68 Sr(s) Sr2+(aq) + 2 e- -2.89 Fe2+(aq) Fe3+(aq) + e- +0.77 Ca(s) Ca2+(aq) + 2 e- -2.87 Ag(s) Ag+(aq) + e- +0.80 Na(s) Na+(aq) + e- -2.71 2 Hg(l) Hg22+(aq) + 2 e- +0.85 Mg(s) Mg2+(aq) + 2 e- -2.37 Hg22+(aq) 2 Hg2+(aq) + 2 e- +0.92 Be(s) Be2+(aq) + 2 e- -1.85 +0.96 Al(s) Al3+(aq) + 3 e- -1.66 NO(g) + 2 NO3-(aq) + 4 H+(aq) + 3 e- H2O 2 Br-(aq) Br2(l) + 2 e- +1.07 2 H2O O2(g) + 4 H+(aq) + 4 e- +1.23 Mn2+(aq) + MnO2(s) + 4 H+(aq) + 2 e- 2 H2O +1.2`3 +1.33 Mn2+(aq) +2 e- Mn(s) H2(g) + 2 OH-(aq) 2 H2O + 2 e- -1.18 -0.83 Zn(s) -0.76 Cr(s) Cr3+(aq) + 3 e- -0.74 Fe(s) Fe2+(aq) + 2 e- -0.44 2 Cr2O72-(aq) + 14 H+(aq) + 6 e- 3+ Cr (aq) + 7 H2O Cd(s) Cd2+(aq) + 2 e- -0.40 2 Cl-(aq) Cl2(g) + 2 e- +1.36 Pb(s) + SO42-(aq) PbSO4(s) + 2 e- -0.31 Au(s) Au3+(aq) + 3 e- +1.50 Co(s) Co2+(aq) + 2 e- -0.28 +1.51 Ni(s) Ni2+(aq) + 2 e- -0.25 Mn2+(aq) MnO4-(aq) + 8 H+(aq) + 5 e- + 4 H2O +1.61 Sn(s) -0.14 Ce3+(aq) Ce4+(aq) + e- +1.70 Pb(s) -0.13 PbO2(s) + 4 H+ + SO42-(aq) + 2 e- PbSO4(s) + 2 H2O H2(g) 2 H+(aq) + 2 e- 0.00 2 H2O H2O2(aq) + 2 H+(aq) + 2 e- +1.77 Sn2+(aq) Sn4+(aq) + 2 e- +0.13 Co2+(aq) Co3+(aq) + e- Cu+(aq) Cu2+(aq) + e- +0.13 +0.14 2 SO42− S2O82− + 2 e− +1.82 +2.01 O2(g) + H2O O3(g) + 2 H+(aq) + 2 e- +2.07 SO2(g) + 2 SO42-(aq) + 4 H+(aq) + 2 e- H 2O +0.20 F-(aq) F2(g) + 2 e- +2.87 Ag(s) + Cl-(aq) AgCl(s) + e- +0.22 *For Cu(s) Cu2+(aq) + 2 e- +0.34 Zn2+(aq) Sn2+(aq) Pb2+(aq) +2 e- +2 e- +2 e- H2S S + 2 H+ 2 e− all half-reactions the concentration is 1M for dissolved species and the pressure is 1 atm for gases. These are standard state values.