Oxidation-Reduction Chapter 17 Hein and Arena Version 1.1 Eugene Passer Chemistry Department 1 College Bronx Community © John Wiley and Sons, Inc. Chapter Outline 17.1 Oxidation Number 17.2 Oxidation-Reduction 17.4 Balancing Ionic Redox Redox Equations 17.5 Activity Series of Metals 17.3 Balancing OxidationReduction Equations 17.6 Electrolytic and Voltaic Cells 2 Oxidation Number 3 The oxidation number (oxidation state) of an atom represents the number of electrons lost, gained, or unequally shared by an atom. 4 Oxidation numbers can be zero, positive or negative. 5 An oxidation number of zero means the atom has the same number of electrons assigned to it as there are in the free neutral atom. 6 A positive oxidation number means the atom has fewer electrons assigned to it than in the neutral atom. 7 A negative oxidation number means the atom has more electrons assigned to it than in the neutral atom. 8 The oxidation number of an atom that has gained or lost electrons to form an ion is the same as the positive or negative charge of the ion. NaCl The charge oxidation Sodium has lost The on number sodium is +1. an electron . of sodium is +1. The Chlorine oxidation has The charge on number gained an of chlorine is –1. chlorine electron. is -1. 9 In covalently bonded substances, oxidation numbers are assigned by an arbitrary system based on relative electronegativities. 10 For symmetrical covalent molecules each atom is assigned an oxidation number of 0 because the bonding pair of electrons is shared equally between two like atoms of equal electronegativity. Oxidation Electronegativity Number 2.1 0 Oxidation Electronegativity Number 2.1 0 11 For symmetrical covalent molecules each atom is assigned an oxidation number of 0 because the bonding pair of electrons is shared equally between two like atoms of equal electronegativity. Oxidation Number Electronegativity 0 3.0 Oxidation Number Electronegativity 0 3.0 12 When the covalent bond is between two unlike atoms, the bonding electrons are shared unequally because the more electronegative element has a greater attraction for them. Oxidation Number Electronegativity +1 2.1 there is a partial after assignment hydrogen unequal shared electron pair of transfer of an has one lesssharing electron than electrons electron to chlorine neutral chlorine Oxidation Number Electronegativity -1 3.0 after assignment chlorine both shared electrons one to more electron arehas assigned chlorine than neutral chlorine 13 Many elements have multiple oxidation numbers N oxidation number N2 N2O NO N2O3 NO2 N2O5 NO-3 0 +1 +2 +3 +4 +5 +5 14 15 16 Rules for Determining the Oxidation Number of an Element Within a Compound Step 1 Write the oxidation number of each known atom below the atom in the formula. Step 2 Multiply each oxidation number by the number of atoms of that element in the compound. Step 3 Write an expression indicating the sum of all the oxidation numbers in the compound. Remember: The sum of the oxidation numbers in a compound must equal zero. 17 Determine the oxidation number for sulfur in sulfuric acid. H2SO4 Step 1 +1 Step 2 2(+1) = +2 Step 3 -2 4(-2) = -8 +2 + S + (-8) = 0 Step 4 S = +6 (oxidation number for sulfur) Write an Multiply expression oxidation indicating numberthe by sum the number ofknown all the of theeach oxidation number of each atoms oxidation of that numbers element in the ininthe compound. compound. atom below the atom the formula. 18 Determine the oxidation number for sulfur in sulfuric acid. Step 1 Step 2 Step 3 24 C2O -2 4(-2) = -8 2C + (-8) = -2 (the charge on the ion) Step 4 2C = +6 C = +3 (oxidation number for sulfur) Write an Multiply expression oxidation indicating numberthe by sum the number ofknown all the of theeach oxidation number of each atoms oxidation of that numbers element in the ininthe compound. compound. atom below the atom the formula. 19 Oxidation-Reduction 20 Oxidation-reduction (redox) is a chemical process in which the oxidation number of an element is changed. 21 Redox may involve the complete transfer of electrons to form ionic bonds or a partial transfer of electrons to form covalent bonds. 22 • Oxidation occurs when the oxidation number of an element increases as a result of losing electrons. • Reduction occurs when the oxidation number of an element decreases as a result of gaining electrons. • In a redox reaction oxidation and reduction occur simultaneously, one cannot occur in the absence of the other. 23 • Oxidizing agent The substance that causes an increase in the oxidation state of another substance. – The oxidizing agent is reduced in a redox reaction. • Reducing agent The substance that causes a decrease in the oxidation state of another substance. – The reducing agent is oxidized in a redox reaction. 24 The reaction of zinc with sulfuric acid is a redox reaction. Zn(s) + H2SO4(aq) → ZnSO4(aq) + H2(g) Hydrogen Zinc Hydrogen Zinc transfers Hydrogen accepts Zinc is the is electrons the isreducing oxidized. electrons is oxidizing reduced. toagent. hydrogen. from agent. zinc. The electron transfer is more clearly expressed as o + 24 Zn + 2H + SO Zn 2+ 24 o 2 + SO + H 25 26 17.1 Balancing OxidationReduction Equations 27 Change-In-Oxidation Number Method 28 Balance the equation Sn + HNO3 → SnO2+ NO2+H2O Step 1 Assign oxidation numbers to each element to identify the elements being oxidized and those being reduced. Write the oxidation numbers below each element to avoid confusing them with ionic charge. Sn + HNO3 → SnO2 + NO2 + H2O 0 +1 +5 -2 +4 -2 +4 -2 +1 -2 oxidation number of tin increases oxidation number of nitrogen decreases 29 Balance the equation Sn + HNO3 → SnO2+ NO2+H2O Step 2 Write two new equations, using only the elements that change in oxidation number. Then add electrons to bring the equations into electrical balance. Sno → Sn4+ + 4e4N5+ + 1e- → N4+ 30 Balance the equation Sn + HNO3 → SnO2+ NO2+H2O Step 3 Multiply the two equations by the smallest whole numbers that will make the electrons lost by oxidation equal to the number of electrons gained by reduction. Sno → Sn4+ + 4e- 44N5+ + 44e- → 44N4+ 31 Balance the equation Sn + HNO3 → SnO2+ NO2+H2O Step 4 Transfer the coefficient in front of each substance in the balanced oxidationreduction equations to the corresponding substances in the original equation. Sno → Sn4+ + 4e- 44N5+ + 44e- → 44N4+ Sn + 44HNO3 → SnO2 + 44NO2 + H2O 32 Balance the equation Sn + HNO3 → SnO2+ NO2+H2O Step 5 Balance the remaining elements that are not oxidized or reduced to give the final balanced equation. 2 2O Sn + 4HNO3 → SnO2 + 4NO2 + 2H 33 Balancing Ionic Redox Equations 34 In ionic redox equations both the numbers of atoms and the charges on both sides of the equation must be the same. 35 The Ion-Electron Method 36 Step 1 Write the two half-reactions that contain the elements being oxidized and reduced. Step 2 Balance the elements other than hydrogen and oxygen. 37 Step 3 Balance hydrogen and oxygen. Acidic solution: • For reactions in acidic solution, use H+ and H2O to balance oxygen and hydrogen. • For each oxygen needed use one H2O. • Then add H+ as needed to balance the hydrogen atoms. 38 Step 3 Balance hydrogen and oxygen. Basic solution: • For reactions in alkaline solutions, first balance as thought the reactions were in an acid solution, using Steps 1-3. • Then add as many OH- ions to each side of the equation as there H+ ions in the equation. • Combine OH- ions into water. Example: 4H+ + 4OH- → 4H2O • Rewrite the equation, canceling equal numbers of water molecules that appear on opposite 39 side of the equation. Step 4 Add electrons (e-) to each halfreaction to bring them into electrical balance. Step 5 Since the loss and gain of electrons must be equal, multiply each halfreaction by the appropriate number to make the number of electrons the same in each half-reaction. 40 Step 6 Add the two half-reactions together, canceling electrons and any other identical substances that appear on opposite sides of the equation. 41 Balance the equation MnO + S Mn 4 2- 2+ o + S (acidic solution) Step 1 Write two half-reactions, one containing the element being oxidized and the other the element being reduced (use the entire molecule or ion). S S 2- o MnO Mn 4 2+ Step 2 Balance elements other than oxygen and hydrogen. (Step 2 is unnecessary, since these elements are already balanced). 42 Balance the equation MnO + S Mn 4 2- 2+ o + S (acidic solution) Step 3 Balance O and H. The solution is acidic. The oxidation requires neither O nor H, but the reduction equation needs 4H2O on the right and 8H+ on the left. S S 2- o 4H22O O 8H 8H ++ MnO Mn ++ 4H ++ 4 8H+ balance the 8 hydrogens of 4 water molecules. MnO4. 2+ 4 water molecules are necessary to balance the 4 oxygens in MnO4-4. 43 Balance the equation MnO + S Mn 4 2- 2+ o + S (acidic solution) Step 4 Balance each half-reaction electrically with electrons: balanced oxidation half-reaction -2o S S + 2e 2e net charge = -2 on each side balanced reduction half-reaction + 2+ 4 net charge = +2 on each side 5e 5e + 8H + MnO Mn - + 4H2O 44 Balance the equation MnO + S Mn 4 2- 2+ o + S (acidic solution) Step 5 Equalize loss and gain of electrons. In this case, multiply the oxidation equation by 5 and the reduction equation by 2. 5S S S 5S 2e 10e 2- oo - - 10e 5e++16H 8H + 2MnO MnO Mn 2Mn+ 4+H8H 2O2O - - + - 44 2+ 2+ 45 Balance the equation MnO + S Mn 4 2- 2+ o + S (acidic solution) Step 6 Add the two half-reactions together, canceling the 10e- from each side, to obtain the balanced equation. 5S 5S 10e 2- o - 10e + 16H + 2MnO 2Mn - + 4 2+ 16H + 2MnO + 5S 2Mn + 4 2- 2+ + 8H2O o + 5S + 8H2O The charge on both sides of the balanced equation is +4 46 Balance the equation CrO + Fe(OH)2 Cr(OH)3 + Fe(OH)3 (basic solution) 24 Step 1 Write two half-reactions, one containing the element being oxidized and the other the element being reduced (use the entire molecule or ion). Fe(OH)2 Fe(OH)3 24 CrO Cr(OH)3 Step 2 Balance elements other oxygen and hydrogen (Step 2 is unnecessary, since these elements are already balanced). 47 Balance the equation CrO + Fe(OH)2 Cr(OH)3 + Fe(OH)3 (basic solution) 24 Step 3 Balance O and H as though the solution were acidic. Use H2O and H+. Fe(OH)2 + H2O Fe(OH)3 + H + For each unbalanced O add For is one each unbalanced H add - toone Since the solution basic, add 1 OH each + H2O to the other side Hof to the the other side of the side. equation. equation. + Fe(OH)2 + H2O + OH Fe(OH)3 + H + OH Combine H+ and OH- as H2O and rewrite, canceling H2O on each side. Fe(OH)2 + H2O + OH- Fe(OH)3 + H2O Fe(OH)2 + OH Fe(OH)3 - oxidation half-reaction 48 Balance the equation CrO + Fe(OH)2 Cr(OH)3 + Fe(OH)3 (basic solution) 24 Step 3 Balance O and H as though the solution were acidic. Use H2O and H+. CrO + 5H Cr(OH)3 + H2O + 24 For each unbalanced O For add each one unbalanced H add- one the solution is the basic, addside 5 OH H2O to Since the other sideH+of tothe other of to theeach side. equation. equation. 2+ - CrO4 + 5H + 5OH Cr(OH)3 + H2O + 5OH Combine 5H+ + 5OH- → 5H2O CrO + 5H2O Cr(OH)3 + H2O + 5OH 24 - half-reaction Rewrite,oxidation canceling 1 H2O from each side: CrO + 4H2O Cr(OH)3 + 5OH 24 - 49 Balance the equation CrO + Fe(OH)2 Cr(OH)3 + Fe(OH)3 (basic solution) 24 Step 4 Balance each half-reaction electrically with electrons: balanced oxidation half-reaction Fe(OH)2 + OH Fe(OH)3 + e - - net charge = -1 on each side balanced reduction half-reaction CrO + 4H2O + 3e Cr(OH)3 + 5OH 24 - - net charge = -5 on each side 50 Balance the equation CrO + Fe(OH)2 Cr(OH)3 + Fe(OH)3 (basic solution) 24 Step 5 Equalize loss and gain of electrons. Multiply the oxidation reaction by 3. 3Fe(OH) Fe(OH) OH Fe(OH) 3Fe(OH) e3e 2 2++3OH 3 3++ - - - It is not necessary to multiply the reduction equation. CrO + 4H2O + 3e Cr(OH)3 + 5OH 24 - - 51 Balance the equation CrO + Fe(OH)2 Cr(OH)3 + Fe(OH)3 (basic solution) 24 Step 6 Add the two half-reactions together, canceling 3e- and 3OH- from each side of the equation. 3Fe(OH)2 + 3OH 3Fe(OH)3 + 3e - - CrO + 4H2O + 3e Cr(OH)3 + 5OH 24 - - CrO2+ 3Fe(OH) + 4H O Cr(OH) + 3F e(OH) + 2OH 4 2 2 3 3 The charge on both sides of the balanced equation is -2 52 Activity Series of Metals 53 activity series A listing of metallic elements in descending order of reactivity. 54 Sodium (Na) will displace any element below it from one of its compounds. 55 increasing activity Mg(s) + PbS(s) MgS(s) + Pb(s) K Ba Ca Na Mg Al Zn Cr Fe Ni Sn Pb H2 Cu Magnesium is above lead in the activity series. Magnesium will displace lead from its compounds. 56 increasing activity Ag(s) + CuCl2(s) no reaction Ba Na Mg Al Zn Cr Fe Ni Sn Pb H2 Cu Ag Hg Silver is below copper in the activity series. Silver will not displace copper from one of its compounds. 57 Electrolytic and Voltaic Cells 58 electrolytic cell An electrolysis apparatus in electrolysis The process whereby electrical which electrical energy from an outside energy is used to bring about a chemical source is used to produce a chemical change. change. 59 anode positive electrode. cathodeThe The negative electrode. 60 Electrolysis of Hydrochloric Acid 61 In an electrolytic cell electrical energy from the voltage source is used to bring about nonspontaneous redox reactions. 62 Hydronium ions migrate to the cathode and are reduced. H3O+ + 1e- → Ho + H2O Ho + Ho → H2 Cathode Reaction 63 17.3 Chloride ions migrate to the anode and are oxidized. Cl-→ Clo + eClo + Clo→ Cl2 Anode Reaction 64 17.3 2HCl(aq) electrolysis H2(g) + Cl2(g) The hydrogen and chlorine produced when HCl is electrolyzed have more potential energy than was present in the hydrochloric acid before electrolysis. 65 The Zinc-Copper Voltaic Cell 66 voltaic cell A cell that produces electrical energy from a spontaneous chemical reaction. (Also known as a galvanic cell). 67 When a piece of zinc is put in a copper(II) sulfate solution, the zinc quickly becomes coated with metallic copper. This occurs because zinc is above copper in the activity series. 68 increasing activity Zn(s) + CuSO4(s) ZnSO4(s) + Cu(s) K Ba Ca Na Mg Al Zn Cr Fe Ni Sn Pb H2 Cu Zinc is above copper in the activity series. Zinc will displace copper from one of its compounds. 69 If this reaction is carried out in a voltaic cell, an electric current is produced. 70 71 loss of electrons anode Zno(s) → Zn2+(aq) + 2e- oxidation gain of electrons cathode Cu2+(aq) + 2e- → Cuo(s) reduction Net ionic reaction Zno(s) + Cu2+(aq) → Zn2+(aq) + Cuo(s) Overall equation Zno(s) + CuSO4(aq) → ZnSO4(aq) + Cuo(s) 72 Spontaneity The Spontaneous Reactions reactions thatreactions isofoccur the zinc-copper inoccur crucial electrolytic in all difference cell voltaic cells are spontaneous. cells. are between nonspontaneous. all voltaic and electrolytic cells. 73 Key Concepts 17.1 Oxidation Number 17.2 Oxidation-Reduction 17.4 Balancing Ionic Redox Redox Equations 17.5 Activity Series of Metals 17.3 Balancing OxidationReduction Equations 17.6 Electrolytic and Voltaic Cells 74