# Balancing Reaction Equations Oxidation State Reduction-oxidation Reactions

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1 Balancing Reaction Equations Oxidation State Reduction-oxidation Reactions OCN 623 Chemical Oceanography Balanced chemical reactions are the math of chemistry They show the relationship between the reactants and the products We will use thermodynamics later on to calculate the feasibility of reactions and to understand how equilibrium is established The concept of equilibrium allows us to understand chemical processes such as ionic speciation, oxidation state distributions gas solubility, the carbonate system 1

2 Outline Types of reactions and equations Net ionic equations Electron-transfer reactions Common oxidation states of elements Determining oxidation number of elements & compounds Reduction-oxidation reactions Summary of Types of Reactions and Equations *** 2

3 An example: Net Ionic Equations If a solution of lead nitrate is added to a solution of sodium chloride, lead chloride precipitates: Pb(NO 3 ) 2 (aq) + 2 NaCl(aq) PbCl 2 (s) + 2 NaNO 3 (aq) (This is a conventional equation) To better describe the reaction, the formulas of the dissolved substances are replaced with the actual species in solution: Pb 2+ (aq) + 2 NO 3- (aq) + 2 Na + (aq) + 2 Cl - (aq) PbCl 2 (s) + 2 Na + (aq) + 2 NO 3- (aq) (This is an ionic equation) We can then eliminate the spectators. The result is a net ionic equation, which tells exactly what chemical change took place, and nothing else: Pb 2+ (aq) + 2 Cl - (aq) PbCl 2 (s) Steps in writing a net ionic equation: Write the conventional equation, including designations of state [(g), (l), (s), (aq)]. Balance the equation. Write the ionic equation by replacing each dissolved substance (aq) with the species in solution. Never change states in this step. Be sure the equation is balanced for both atoms and charge. Write the net ionic equation by removing the spectators. Reduce coefficients to lowest terms. Be sure the equation is balanced for both atoms and charge. 3

4 Electron-transfer Reactions Example: H 2 combining with O 2 to form water: 2 H 2 + O 2 2H 2 O An electron is transferred from H to O: the H 2 is oxidized and the O 2 is reduced We use the oxidation number (oxidation state) to keep track of electron shifts in chemical reactions. It is defined as the charge which an atom appears to have when the net electric charge on a chemical species is apportioned according to certain rules. Important because: the binding of atoms can result from the transfer or sharing of electrons. Oxidation state or number Oxidation: Loss of electrons from an element. Oxidation number increases Reduction: Gain of electrons by an element. Oxidation number decreases If we want to determine whether reaction is oxidation or reduction Need to know oxidation number of the element and how it changes 4

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7 Determining Oxidation Number of Elements & Compounds 1. In uncombined or free elements (not ionized), each atom has an oxidation number of 0. E.g., all of the atoms in these molecules: H 2, Na, S 8, O 2, P In simple ions (i.e., charged species which contain only one atom), the oxidation number is equal to the charge on the ion. E.g., Na and K only form +1 ions; thus, their oxidation numbers are +1 in all compounds (see Fig. 20.1). Determining Oxidation Number of Elements & Compounds 3. Oxidation state of certain elements is the same in all, or almost all of their compounds e.g., Group 1A elements: Li, Na, K, Rb, Cs = +1 Group 2A elements: Be, Mg, Ca, Sr, Ba, Ra = +2 Group VIIb elements: F, Cl, Br, I, At = -1 in binary compounds Oxygen is almost always -2 (except when bonded to O or F) H is almost always +1 (except with a metal; NaH, CaH 2 is -1) 7

8 4. Oxidation numbers must be consistent with conservation of charge. E.g., The sum of charge must be 0 for neutral molecules. For H 2 O: H: oxid number is +1 O : oxid number is 2 Net charge = 2(+1) + 1(-2) = 0 For MnO4-: O= -2x4= -8, thus Mn= 8-1= 7 5. Fractional oxidation numbers are possible. E.g., in Na 2 S 4 O 6 (sodium tetrathionate), S has an oxidation number of +10/4: O: 6(-2) = -12 Na: 2(+1) = 2 Residual = -10, which must be balance by S: S: 4(+10/4) = The oxidation number is designated by: Arabic number below the atom, or Roman numberal or arabic number after the atom (in parentheses) 8

9 Common Oxidation States of Elements Oxidation states for important N, S and C compounds: 9

10 A more detailed rules cheat sheet Reduction-Oxidation Reactions Oxidation is a chemical process in which an atom shows an increase in oxidation number Reduction is a chemical process in which an atom shows an decrease in oxidation number Example: 2 H 2 + O 2 2H 2 O The hydrogen changes oxidation number from 0 to +1(is oxidized) The oxygen changes oxidation number from 0 to 2 (is reduced) 10

11 In general Oxidant (Oxidizing agent) Reductant (Reducing agent) Reduction (gain of e - ) e - Oxidation (loss of e - ) Reduced product Oxidized product Because there are no free electrons in nature, every oxidation is accompanied by a reduction, and vice versa Oxidation of zinc: Zn (s) + 2 H + Zn 2+ + H 2 (g) 2 H + +1 H 2 (g) 0 2e - Zn (s) 0 Zn

12 Oxidant Reductant Note: Strengths not necessarily related to # of electrons transferred 12

13 Procedure for balancing redox reactions in aqueous solutions: 13

14 Q: How do we know that this happens? Oxidation of organic matter CH 2 O + SO H 2 O = CO 2 + H 2 S 0 IV ox state of C (How did we get the oxidation state of the C in CH 2 O?) Separate into oxidation and reduction half reactions SO e H + = H 2 S + 4H 2 O CH 2 O + H 2 O = CO 2 + 4H e - A B 14

15 Combine so electrons balance: A + B*2 2 CH 2 O + SO H 2 O + 10H + = H 2 S + 4 H 2 O + 2 CO H + Simplify by subtracting 8 H + and 2 H 2 O from each side. 2 CH 2 O + SO H + = H 2 S + 2 H 2 O + 2 CO 2 This reaction is the oxidation of organic matter through the reduction of sulphate, you will see this reaction later in reducing sediments. D. An example in basic solution: I - + MnO 4 - = I 2 + MnO 2 Oxidation: 2I - = I 2 + 2e - A Reduction: MnO H + +3e - = MnO 2 + 2H 2 O remove H + by adding OH - to each side * 4 (4H + + 4OH - = 4 H 2 O) MnO H 2 O+ +3e - = MnO 2 + 2H 2 O + 4OH - simplify: MnO H 2 O +3e - = MnO 2 + 4OH - B combine so electrons balance: A * 3 + B * 2 6I - + 2MnO H 2 O = 3I 2 + 2MnO 2 + 8OH - 15

16 E. A weathering reaction. Fe 2 SiO 4 + O 2 = Fe 2 O 3 + FeSiO 3 II III II ox state of Fe i.e. Fe is oxidised Iron Olivine = Haemetite + Ferrosilite ( Fe pyroxene) Separate and balance for mass and charge O e - = 2O 2- reduction A 2Fe 2 SiO 4 + H 2 O = Fe 2 O 3 + 2e - + 2FeSiO 3 + 2H + oxidation B Note have added H 2 O on LH side Combine eqns balancing e - A+ 2*B 4Fe 2 SiO 4 + 2H 2 O+O 2 +4 e - = 2Fe 2 O 3 + 4e - +4FeSiO 3 +4H + +2O 2- cancel 4e - on each side then cancel as 2H 2 O = 4H + + 2O 2-4Fe 2 SiO 4 + O 2 = 2Fe 2 O 3 + 4FeSiO 3 Removal of oxygen by oxidation of reduced iron compounds Example where the same compound is being oxidised and reduced: Cl 2 + H 2 O = HOCl + H + + Cl - Cl 2 + 2e - = 2Cl - ( reduction of Cl) Cl 2 + 2H 2 O = 2 HOCl + 2H + + 2e - ( oxidation of Cl) 2Cl 2 + 2H 2 O = 2 HOCl + 2H Cl - This may have been what happened to Cl 2 released from the degassing of the early Earth. 16

17 More Info On Term Paper Preproposal Assignment Example of a Foundation Call for Proposals 17

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19 Homework due Thursday January 23 Term paper topics are due 2/13 don t procrastinate on this. Start brainstorming broad topics, do literature searches to narrow, talk to profs & peers. 19

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