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Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Chapter 8 Acids and Bases and Oxidation-Reduction Denniston Topping Caret 5th Edition 8.1 Acids and Bases • • • Acids: Taste sour, dissolve some metals, cause plant dye to change color Bases: Taste bitter, are slippery, are corrosive Two theories that help us to understand the chemistry of acids and bases 1. Arrhenius Theory 2. Brønsted-Lowry Theory 8.1 Acids and Bases Arrhenius Theory of Acids and Bases • Acid - a substance, when dissolved in water, dissociates to produce hydrogen ions – Hydrogen ion: H+ also called “protons” HCl is an acid: HCl(aq) H+(aq) + Cl-(aq) 8.1 Acids and Bases Arrhenius Theory of Acids and Bases • Base - a substance, when dissolved in water, dissociates to produce hydroxide ions NaOH is a base NaOH(aq) Na+(aq) + OH-(aq) 8.1 Acids and Bases Arrhenius Theory of Acids and Bases • Where does NH3 fit? • When it dissolves in water it has basic properties but it does not have OH- ions in it • The next acid-base theory gives us a broader view of acids and bases 8.1 Acids and Bases Brønsted-Lowry Theory of Acids and Bases • Acid - proton donor • Base - proton acceptor – Notice that acid and base are not defined using water – When writing the reactions, both accepting and donation are evident 8.1 Acids and Bases Brønsted-Lowry Theory of Acids and Bases HCl(aq) + H2O(l) Cl-(aq) + H3O+(aq) acid base What donated the proton? Is it an acid or base? HCl Acid What accepted the proton? H2O Is it an acid or base? Base 8.1 Acids and Bases Brønsted-Lowry Theory of . Acids and Bases NH3(aq) + H2O(l) base acid NH4+(aq) + OH-(aq) Now, let us look at NH3 and see why it is a base. Did NH3 donate or accept a proton? Accept Is it an acid or base? Base What is water in this reaction? Acid 8.1 Acids and Bases Acid-Base Properties of Water • Water possesses both acid and base properties – Amphiprotic - a substance possessing both acid and base properties – Water is the most commonly used solvent for both acids and bases – Solute-solvent interactions between water and both acids and bases promote solubility and dissociation 8.1 Acids and Bases Acid and Base Strength • Acid and base strength – degree of dissociation – Not a measure of concentration – Strong acids and bases – reaction with water is virtually 100% (Strong electrolytes) 8.1 Acids and Bases Strong Acids and Bases • Strong Acids: – – – – HCl, HBr, HI HNO3 H2SO4 HClO4 Hydrochloric Acid, etc. Nitric Acid Sulfuric Acid Perchloric Acid • Strong Bases: – NaOH, KOH, Ba(OH)2 – All metal hydroxides 8.1 Acids and Bases Weak Acids • Weak acids and bases – only a small percent dissociates (Weak electrolytes) • Weak acid examples: – Acetic acid: CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq) – Carbonic Acid: H2CO3(aq) + H2O(l) HCO3-(aq) + H3O+(aq) 8.1 Acids and Bases Weak Bases • Weak base examples: – Ammonia: NH3(aq) + H2O(l) NH4+(aq) + OH-(aq) – Pyridine: C5H5NH2(aq) + H2O(l) C5H5NH3+(aq) + OH-(aq) – Aniline: C6H5NH2(aq) + H2O(l) C6H5NH3+(aq) + OH-(aq) 8.1 Acids and Bases Conjugate Acids and Bases • The acid base reaction can be written in the general form: HA + B A– + HB+ acid base • Notice the reversible arrows • The products are also an acid and base called the conjugate acid and base 8.1 Acids and Bases HA + B acid base A- + HB+ base acid • Conjugate acid - what the base becomes after it accepts a proton • Conjugate base - what the acid becomes after it donates its proton • Conjugate acid-base pair - the acid and base on the opposite sides of the equation 8.1 Acids and Bases Acid-Base Dissociation HA + B A– + HB+ • The reversible arrow isn’t always written – Some acids or bases essentially dissociate 100% – One way arrow is used • HCl + H2O Cl- + H3O+ – All of the HCl is converted to Cl– HCl is called a strong acid – an acid that dissociates 100% • Weak acid - one which does not dissociate 100% 8.1 Acids and Bases Conjugate Acid-Base Pairs • Which acid is stronger: HF or HCN? HF • Which base is stronger: CN- or H2O? CN - 8.1 Acids and Bases Acid-Base Practice • Write the chemical reaction for the following acids or bases in water • Identify the conjugate acid-base pairs 1. HF (a weak acid) 2. H2S (a weak acid) 3. HNO3 (a strong acid) 4. CH3NH2 (a weak base) Note: The degree of dissociation also defines weak and strong bases 8.1 Acids and Bases The Dissociation of Water • Pure water is virtually 100% molecular • Very small number of molecules dissociate – Dissociation of acids and bases is often called ionization H2O(l) + H2O(l) • Called autoionization • Very weak electrolyte H3O+(aq) + OH-(aq) 8.1 Acids and Bases Hydronium Ion • H3O+ is called the hydronium ion • In pure water at room temperature: – [H3O+] = 1 x 10-7 M – [OH-] = 1 x 10-7 M • What is the equilibrium expression for: H2O(l) + H2O(l) H3O+(aq) + OH-(aq) Keq [H3O ][OH ] - Remember, liquids are not included in equilibrium expressions 8.1 Acids and Bases Ion Product of Water • This constant is called the ion product for water and has the symbol Kw K w [H 3O ][OH ] - • Since [H3O+] = [OH-] = 1.0 x 10-7 M, what is the value for Kw? – 1.0 x 10-14 – It is unitless 8.2 pH: A Measurement Scale for Acids and Bases • pH scale - a scale that indicates the acidity or basicity of a solution – Ranges from 0 (very acidic) to 14 (very basic) • The pH scale is rather similar to the temperature scale assigning relative values of hot and cold • The pH of a solution is defined as: pH = -log[H3O+] 8.2 pH: A Measurement Scale for Acids and Bases A Definition of pH • Use these observations to develop a concept of pH – if know one concentration, can calculate the other – if add an acid, [H3O+] and [OH-] – if add a base, [OH-] and [H3O+] – [H3O+] = [OH-] when equal amounts of acid and base are present • In each of these cases 1 x 10-14 = [H3O+][OH-] 8.2 pH: A Measurement Scale for Acids and Bases Measuring pH • pH of a solution can be: – Calculated if the concentration of either is known • [H3O+] • [OH-] – Approximated using indicator / pH paper that develops a color related to the solution pH – Measured using a pH meter whose sensor measures an electrical property of the solution that is proportional to pH 8.2 pH: A Measurement Scale for Acids and Bases Calculating pH • How do we calculate the pH of a solution when either the hydronium or hydroxide ion concentration is known? • How do we calculate the hydronium or hydroxide ion concentration when the pH is known? • Use two facts: pH = -log[H3O+] 1 x 10-14 = [H3O+][OH-] 8.2 pH: A Measurement Scale for Acids and Bases Calculating pH from Acid Molarity What is the pH of a 1.0 x 10-4 M HCl solution? – HCl is a strong acid and dissociates in water – If 1 mol HCl is placed in 1 L of aqueous solution it produces 1 mol [H3O+] – 1.0 x 10-4 M HCl solution has [H3O+]=1.0x10-4M pH = -log[H3O+] = -log [H3O+] = -log [1.0 x 10-4] = -[-4.00] = 4.00 8.2 pH: A Measurement Scale for Acids and Bases Calculating [H3O+] From pH What is the [H3O+] of a solution with pH = 6.00? pH = -log[H3O+] • 4.00 = -log [H3O+] • Multiply both sides of equation by –1 • -4.00 = log [H3O+] • Take the antilog of both sides • Antilog -4.00 = [H3O+] • Antilog is the exponent of 10 • 1.0 x 10-4 M = [H3O+] 8.2 pH: A Measurement Scale for Acids and Bases Calculating the pH of a Base What is the pH of a 1.0 x 10-3 M KOH solution? • KOH is a strong base (as are any metal hydroxides) • 1 mol KOH dissolved and dissociated in aqueous solution produces 1 mol OH• 1.0 x 10-3 M KOH solution has [OH-] = 1.0 x 10-3 M 1 x 10-14 = [H3O+][OH-] • Solve equation for [H3O+] = 1 x 10-14 / [OH-] • [H3O+] = 1 x 10-14 / 1.0 x 10-3 = 1 x 10-11 • pH = -log [1 x 10-11] = 11.00 pH = -log[H3O+] 8.2 pH: A Measurement Scale for Acids and Bases Calculating pH from Acid Molarity What is the pH of a 2.5 x 10-4 M HNO3 solution? • We know that as a strong acid HNO3 dissociates to produce 2.5 x 10-4 M [H3O+] pH = -log[H3O+] • pH = -log [2.5 x 10-4] • = 3.60 8.2 pH: A Measurement Scale for Acids and Bases Calculating [OH-] From pH What is the [OH-] of a solution with pH = 4.95? • First find [H3O+] • 4.95 = -log [H3O+] • • • • pH = -log[H3O+] [H3O+] = 10-4.95 [H3O+] = 1.12 x 10-5 -14 = [H O+][OH-] 1 x 10 3 Now solve for [OH-] [OH-] = 1 x 10-14 / 1.12 x 10-5 = 1.0 x 10-9 8.2 pH: A Measurement Scale for Acids and Bases The pH Scale More basic More Acidic 8.2 pH: A Measurement Scale for Acids and Bases For a strong acid HCl molarity pH 1.0 x 100 0.00 1.0 x 10-1 1.00 1.0 x 10-2 2.00 1.0 x 10-3 3.00 1.0 x 10-4 4.00 1.0 x 10-5 5.00 1.0 x 10-6 6.00 1.0 x 10-7 7.00 For a strong base NaOH molarity pH 1.0 x 100 14.00 1.0 x 10-1 13.00 1.0 x 10-2 12.00 1.0 x 10-3 11.00 1.0 x 10-4 10.00 1.0 x 10-5 9.00 1.0 x 10-6 8.00 1.0 x 10-7 7.00 Each 10 fold change in concentration changes the pH by one unit 8.3 Reactions Between Acids and Bases • Neutralization reaction - the reaction of an acid with a base to produce a salt and water HCl(aq) + NaOH(aq) NaCl(aq) + H2O(l) Acid Base Salt Water • Break apart into ions: H+ + Cl- + Na+ + OH- Na+ + Cl- + H2O • Net ionic equation – Show only the changed components – Omit any ions appearing the same on both sides of equation = Spectator ions H+ + OH- H2O 8.3 Reactions Between Acids and Bases Net Ionic Neutralization Reaction • The net ionic neutralization reaction is more accurately written: H3O+(aq) + OH-(aq) 2H2O(l) • This equation applies to any strong acid / strong base neutralization reaction • An analytical technique to determine the concentration of an acid or base is titration • Titration involves the addition of measured amount of a standard solution to neutralize the second, unknown solution • Standard solution - solution of known concentration 8.3 Reactions Between Acids and Bases Acid – Base Titration Standard solution is slowly added until the color changes The equivalence point is when the moles of H3O+ and OH- are equal Buret – long glass tube calibrated in mL which contains the standard solution Indicator – a substance which changes color as pH changes Flask contains a solution of unknown concentration plus indicator 8.3 Reactions Between Acids and Bases Relationship Between pH and Color in Acid-Base Indicators 8.3 Reactions Between Acids and Bases Determine the Concentration of a Solution of Hydrochloric Acid • Place a known volume of acid whose concentration is not known into a flask • Add an indicator, experience guides selection, here phenol red is good • Known concentration of NaOH is placed in a buret • Drip NaOH into the flask until the indicator changes color 8.3 Reactions Between Acids and Bases Determine the Concentration of a Solution of Hydrochloric Acid • Indicator changes color – Equivalence point is reached – Mol OH- = Mol H3O+ present in the unknown acid • Volume dispensed from buret is determined • Calculate acid concentration: – – – – Volume of Hydrochloric Acid: 25.00 mL Volume of NaOH added: 35.00 mL Concentration of NaOH: 0.1000 M Balanced reaction shows that HCl and NaOH react 1:1 8.3 Reactions Between Acids and Bases Determine the Concentration of a Solution of Hydrochloric Acid • 35.00 mL NaOH x 1L NaOH x 0.1000 mol NaOH 103 mL NaOH 1L NaOH = 3.500 x 10-3 mol NaOH • 3.500 x 10-3 mol NaOH x 1 mol HCl 1 mol NaOH = 3.500 x 10-3 mol HCl – this amount of HCl is contained in 25.00 mL • 3.500 x 10-3 mol HCl x 103 mL HCl 25.00 mL HCl 1 L HCl • = 1.400 x 10-1 mol HCl / L HCl = 0.1400 M HCl 8.3 Reactions Between Acids and Bases Determine the Concentration of a Solution of Hydrochloric Acid • Alternative strategy to solve the acid concentration (Macid)(Vacid) = (Mbase)(Vbase) • (Macid) = (Mbase)(Vbase) (Vacid) • (Macid) = (0.1000 M) (35.00 mL) (25.00 mL) • = 0.1400 M HCl 8.3 Reactions Between Acids and Bases Calculating the Concentration of Sodium Hydroxide Calculate [NaOH] if 25.00 mL of this solution were required to neutralized 45.00 mL of 0.3000 M HCl •Alternative strategy to solve the acid concentration (Macid)(Vacid) = (Mbase)(Vbase) •(Mbase) = (Macid)(Vacid) (Vbase) •(Mbase) = (0.3000 M) (45.00 mL) (25.00 mL) = 0.5400 M NaOH 8.3 Reactions Between Acids and Bases Polyprotic Substances • The previous examples have the acid and base at a 1:1 combining ratio – Not all acid-base pairs do this • Polyprotic substance - donates or accepts more than one proton per formula unit – Hydrochloric acid is monoprotic, producing one H+ ion for each unit of HCl – Sulfuric acid is diprotic, each unit of H2SO4 produces 2 H+ ions H2SO4(aq) + 2NaOH(aq) Na2SO4(aq) + 2 H2O(l) 8.3 Reactions Between Acids and Bases Dissociation of Polyprotic Substances Step 1. H2SO4(aq) + H2O(l) HSO4-(aq) + H3O+(aq) Step 2. HSO4-(aq) + H2O(l) SO42-(aq) + H3O+(aq) • In Step 1, H2SO4 behaves as a strong acid – dissociating completely • In Step 2, HSO4-( behaves as a weak acid – reversibly dissociating, note the double arrow 8.4 Acid-Base Buffers • Buffer solution - solution which resists large changes in pH when either acids or bases are added • These solutions are frequently prepared in laboratories to maintain optimum conditions for chemical reactions • Buffers are also used routinely in commercial products to maintain optimum conditions for product behavior 8.4 Acid-Base Buffers The Buffer Process • Buffers act to establish an equilibrium between a conjugate acid – base pair • Buffers consist of either – a weak acid and its salt (conjugate base) – a weak base and its salt (conjugate acid) CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq) – Acetic acid (CH3COOH) with sodium acetate (CH3COONa) • An equilibrium is established in solution between the acid and the salt anion • A buffer is Le Chatelier’s principle in action 8.4 Acid-Base Buffers (OH ) Addition of Base to a Buffer Solution • Adding a basic substance to a buffer causes changes – The OH- will react with the H3O+ producing water – Acid in the buffer system dissociates to replace the H3O+ consumed by the added base – Net result is to maintain the pH close to the initial level • The loss of H3O+ (the stress) is compensated by the dissociation of the acid to produce more H3O+ CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq) 8.4 Acid-Base Buffers + O) Addition of Acid (H3 Buffer Solution to a • Adding an acidic substance to a buffer causes changes – The H3O+ from the acid will increase the overall H3O+ – Conjugate base in the buffer system reacts with the H3O+ to form more acid – Net result is to maintain the H3O+ concentration and the pH close to the initial level • The gain of H3O+ (the stress) is compensated by the reaction of the conjugate base to produce more acid CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq) 8.4 Acid-Base Buffers Buffer Capacity • Buffer capacity - a measure of the ability of a solution to resist large changes in pH when a strong acid or strong base is added • Also described as the amount of strong acid or strong base that a buffer can neutralize without significantly changing pH 8.4 Acid-Base Buffers Preparation of a Buffer Solution • Buffering process is an equilibrium reaction described by an equilibrium-constant expression CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq) – In acids, this constant is Ka - [H 3O ][CH3COO ] Ka [CH3COOH] • If you want to know the pH of the buffer, solve for [H3O+], then calculate pH 8.4 Acid-Base Buffers Calculating the pH of a Buffer Solution Calculate the pH of a buffer solution in which – Both the acetic acid (acid) and sodium acetate (salt) concentrations are 2.0 x 10-2 M – Sodium acetate, the salt, is also the conjugate base CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq) – Ka = 1.75 x 10-5 [H 3O ][CH3COO- ] Ka – [H3O+] = [acid]Ka [CH3COOH] [conjugate base] = {(2.0 x 10-2 M) x (1.75 x 10-5)} / 2.0 x 10-2 M = 1.75 x 10-5 – pH = -log 1.75 x 10-5 = 4.76 8.4 Acid-Base Buffers Henderson-Hasselbalch Equation • Solution of equilibrium-constant expression and pH can be combined into one operation • Henderson-Hasselbalch equation is this combined expression [H 3O ][CH3COO- ] • Using these two equations: K a [CH COOH] 3 CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq) – pKa = -log Ka just as pH = -log[H3O+] – pKa = pH – log ( [CH3COO-] / [CH3COOH] ) – Henderson-Hasselbalch – – pH = pKa + log( [CH3COO-] / [CH3COOH] ) 8.4 Acid-Base Buffers Henderson-Hasselbalch Equation • pH = pKa + log ([CH3COO-] / [CH3COOH]) can be rewritten – pH = pKa + log ([conjugate base] / [weak acid]) 8.5 Oxidation-Reduction Processes • Oxidation-reduction processes are responsible for many types of chemical change • Oxidation - defined by one of the following – loss of electrons – loss of hydrogen atoms – gain of oxygen atoms • Example: NaNa+ + e– Oxidation half reaction 8.5 Oxidation-Reduction Processes Oxidation-Reduction Processes • Reduction - defined by one of the following: – gain of electrons – gain of hydrogen – loss of oxygen • Example: Cl + e- Cl– Reduction half reaction • Cannot have oxidation without reduction 8.5 Oxidation-Reduction Processes Oxidation and Reduction as Complementary Processes Na Na+ + eCl + e- ClNa + Cl Na+ + ClOxidizing Agent Reducing Agent • Is reduced • Gains electrons • Causes oxidation • Is oxidized • Loses electrons • Causes reduction 8.5 Oxidation-Reduction Processes Applications of Oxidation and Reduction • Corrosion - the deterioration of metals caused by an oxidation-reduction process – Example: rust (oxidation of iron) 4Fe(s) + 3O2(g) 2Fe2O3(s) • Combustion of Fossil Fuels – Example: natural gas furnaces CH4(g) + 2O2(g) CO2(g) + 2H2O(g) 8.5 Oxidation-Reduction Processes Applications of Oxidation and Reduction • Bleaching • Most bleaching agents are oxidizing agents • The oxidation of the stains produces compounds that do not have color – Example: Chlorine bleach - sodium hypochlorite (NaOCl) 8.5 Oxidation-Reduction Processes Biological Processes • Respiration – Electron-transport chain of aerobic respiration uses reversible oxidation and reduction of iron atoms in cytochrome c • Metabolism – Break down of molecules into smaller pieces by enzymes 8.5 Oxidation-Reduction Processes Voltaic Cells • Voltaic cell - electrochemical cell that converts stored chemical energy into electrical energy • Let’s consider the following reaction: Zn(s) + Cu2+(aq) Zn2+(aq) + Cu(s) • Is Zn oxidized or reduced? • Oxidized • Copper is reduced 8.5 Oxidation-Reduction Processes Voltaic Cells Zn(s) + Cu2+(aq) Zn2+(aq) + Cu(s) • If the two reactants are placed in the same flask they cannot produce electrical current • A voltaic cell separates the two half reactions • This makes the electrons flow through a wire to allow the oxidation and reduction to occur 8.5 Oxidation-Reduction Processes Voltaic Cell Generating Electrical Current Zn Zn2+ + 2eOxidation Cu2+ + 2e- Cu Reduction anode – electrode cathode – electrode where reduction occurs where oxidation occurs 8.5 Oxidation-Reduction Processes Voltaic Cell Generating Electrical Current 8.5 Oxidation-Reduction Processes Silver Battery • Batteries use the concept of the voltaic cell • Modern batteries are: – Smaller – Safer – More dependable 8.5 Oxidation-Reduction Processes Electrolysis • Electrolysis reactions - use electrical energy to cause nonspontaneous oxidation-reduction reactions to occur • These reactions are the reverse of a voltaic cell – Rechargeable battery • • • • When powering a device behaves as a voltaic cell With time, the chemical reaction nears completion Battery appears to “run down” Cell reaction is reversible when battery attached to charger 8.5 Oxidation-Reduction Processes Comparison of Voltaic and Electrolytic Cells