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Reactions in Aqueous Solution (Calculations): Chapter 11 Chem 101 Fall 2004 Chapter Outline Aqueous Acid-Base Reactions • Calculations Involving Molarity • Titrations • The Mole Method and Molarity • Equivalent Weights and Normality Oxidation-Reduction Reactions • The Half-Reaction Method • Adding in H+, OH- , or H2O to Balance Oxygen or Hydrogen • Stoichiometry of Redox Reactions Chem 101 Fall 2004 Equivalent Weights and Normality • Normality is another method of expressing concentration. • Normality is defined as the number of equivalent weights of solute per liter of solution. N = # eq solute # meq solute or N = L sol' n mL sol' n Chem 101 Fall 2004 1 Equivalent Weights and Normality • The equivalent weight of an acid is the mass in grams of the acid necessary to furnish Avogadro’s number of H+ ions. • For monoprotic acids like HCl 1 mol = 1 eq • For diprotic acids like H2SO4 1 mol = 2 eq • For triprotic acids like H3PO4 1 mol = 3 eq Chem 101 Fall 2004 Equivalent Weights and Normality • Similarly for bases: • 1 mol = 1 eq for NaOH • 1 mol = 2 eq for Ba(OH)2 • 1 mol = 3 eq for Fe(OH)3 • The equivalent weights of some acids and bases are given in Table 11-1 in your text. • Any problem that can be done in normality can also be done in molarity. • The difference between the two is that in molarity you must remember to use the reaction stoichiometry but in normality the stoichiometry is included in the solution concentrations. Chem 101 Fall 2004 Equivalent Weights and Normality • Since M x L = moles then • N x L = number of equivalents or • N x mL = number of milliequivalents • In reactions, including acid-base reactions, 1 equivalent of an acid will react with 1 equivalent of a base. Chem 101 Fall 2004 2 Equivalent Weights and Normality • What volume of 6.00 M phosphoric acid solution is required to prepare 9.00 x 102 mL of 0.200 N phosphoric acid solution? Chem 101 Fall 2004 Oxidation-Reduction Reactions • We have previously gone over the basic concepts of oxidation & reduction in Chapter 4. • Rules for assigning oxidation numbers were also introduced in Chapter 4. • Refresh your memory as necessary. • We shall learn to balance redox reactions using the half-reaction method. Chem 101 Fall 2004 The Half-Reaction Method Half reaction method rules: • Write the unbalanced reaction. • Break the reaction into 2 half reactions: One oxidation half-reaction and One reduction half-reaction Each reaction must have complete formulas for molecules and ions. Chem 101 Fall 2004 3 The Half-Reaction Method Half reaction method rules: • Mass balance each half reaction by adding appropriate stoichiometric coefficients. To balance H and O we can add: H+ or H2O in acidic solutions. OH- or H2O in basic solutions. • Charge balance the half reactions by adding appropriate numbers of electrons. Electrons will be products in the oxidation half-reaction. Electrons will be reactants in the reduction half-reaction. Chem 101 Fall 2004 The Half-Reaction Method Half reaction method rules: • Multiply each half reaction by a number to make the number of electrons in the oxidation half-reaction equal to the number of electrons reduction halfreaction. • Add the two half reactions. • Eliminate any common terms and reduce coefficients to smallest whole numbers. Chem 101 Fall 2004 The Half-Reaction Method • Tin (II) ions are oxidized to tin (IV) by bromine. Use the half reaction method to write and balance the net ionic equation. Starting Reaction Sn 2+ + Br2 → Sn 4+ + Br Mass balance the half - reaction. Sn 2+ → Sn 4+ Charge balance the half - reaction. Sn Chem 101 Fall 2004 2+ → Sn 4+ + 2e- Electrons are products thus this is the oxidation half - reaction 4 The Half-Reaction Method • Tin (II) ions are oxidized to tin (IV) by bromine. Use the half reaction method to write and balance the net ionic equation. Mass balance the other half - reaction. Br 2 → 2 Br Charge balance the other half - reaction. Br 2 + 2 e - → 2 Br This is the reduction half reaction. Chem 101 Fall 2004 The Half-Reaction Method • Tin (II) ions are oxidized to tin (IV) by bromine. Use the half reaction method to write and balance the net ionic equation. Sn 2+ + Br2 → Sn 4+ + Br- starting reaction Add the two half reactions. Sn 2+ → Sn 4+ + 2e- ox. half reaction Br2 + 2e- → 2 Br- red. half reaction Sn + Br2 → Sn 4+ + 2 Br- balanced reaction 2+ Chem 101 Fall 2004 Stoichiometry in Redox Reactions • Just as we have done stoichiometry with acid-base reactions, it can also be done with redox reactions. • What volume of 0.200 M KMnO4 is required to oxidize 35.0 mL of 0.150 M HCl? 2 KMnO 4 + 16 HCl → 2 KCl + 2 MnCl 2 + 5 Cl 2 + 8 H 2 O Chem 101 Fall 2004 5 Stoichiometry in Redox Reactions 2 KMnO 4 + 16 HCl → 2 KCl + 2 MnCl 2 + 5 Cl 2 + 8 H 2 O . M HCl) = 5.25 mmol HCl (35 mL HCl)( 0150 (5.25 mmol HCl) 2 mmol KMnO 4 = 0.656 mmol KMnO 4 16 mmol HCl 1 mL = 3.28 mL 0.200 mmol KMnO 4 (0.656 mmol KMnO 4 ) Chem 101 Fall 2004 Next Class: Gases and KineticMolecular Theory: Chapter 12 • Study for the Exam! (Chapters 8, 10 and 11) • Start to Read Chapter 12 Chem 101 Fall 2004 6