Acids and Bases Chapter 14 Properties of Acids Acids: • taste sour (citrus fruits & vinegar) • affect indicators (e.g. turn blue litmus red) • produce H+ ions in aqueous solution • corrosive to metals • pH < 7 Classifying Acids Organic acids contain a carboxyl group or -COOH -- HC2H3O2 & citric acid. Inorganic acids -- HCl, H2SO4, HNO3. Oxyacids -- acid proton attached to oxygen -- H3PO4. Monoprotic -- HCl & HC2H3O2 Diprotic -- H2SO4 Triprotic -- H3PO4 Properties of Bases Bases: • taste bitter • feel slippery • affect indicators (e.g. turn red litmus blue) • produce OH- ions in aqueous solution • pH > 7 • caustic Models of Acids and Bases Arrhenius Concept: Acids produce H+ in solution, bases produce OH ion. Brønsted-Lowry: Acids are H+ donors, bases are proton acceptors. HCl + H2O Cl + H3O+ acid base Hydronium Ion Hydronium ion is a hydrated proton -H+.H2O. The H+ ion is simply a proton. It has a very high charge density, so it strongly is attracted to the very electronegative oxygen of the polar water molecule. Conjugate Acid/Base Pairs HA(aq) + H2O(l) H3O+(aq) + A(aq) conj acid 1 conj base 2 conj acid 2 conj base 1 conjugate base: everything that remains of the acid molecule after a proton is lost. conjugate acid: formed when the proton is transferred to the base. Which is the stronger base--H2O or A-? Acid Dissociation Constant (Ka) HA(aq) + H2O(l) H3O+(aq) + A(aq) Ka H3O HA A H A HA Ka values for common acids are found in Table 14.2 on page 663. 14_02T Formula HSO4 HClO2 HC2H2ClO2 HF HNO2 HC2H3O2 [Al(H2O)6]3+ HOCl HCN NH4 HOC6H5 Values of Ka for Some Common Monoprotic Acids Name Hydrogen sulfate ion Chlorous acid Monochloracetic acid Hydrofluoric acid Nitrous acid Acetic acid Hydrated aluminum(III) ion Hypochlorous acid Hydrocyanic acid Ammonium ion Phenol *The units of Ka are mol/L but are customarily omitted. Value of K a* 1.2 x 102 1.2 x 102 1.35 x 103 7.2 x 104 4.0 x 104 1.8 x 105 1.4 x 105 3.5 x 108 6.2 x 1010 5.6 x 1010 1.6 x 1010 Increasing acid strength Table 14.2 Bronsted-Lowry Model The Bronsted-Lowry Model is not limited to aqueous solutions like the Arrhenius Model. NH3(g) + HCl(g) ----> NH4Cl(s) This is an acid-base reaction according to Bronsted-Lowry, but not according to Arrhenius! Acid Strength Strong Acid: - Its equilibrium position lies far to the right. (HNO3) - Yields a weak conjugate base. (NO3) Acid Strength (continued) Weak Acid: - Its equilibrium lies far to the left. (CH3COOH) - Yields a much stronger (water is relatively strong) conjugate base than water. (CH3COO) 14_1577 H+ + H A- H + A AH+ A(a) A- H + H+ H+ A- H+ HB A- HB H+ HB HB H+ H+ H+ HB HB A- AA- A- H+ HB A- HB HB B- HB HB (b) A strong acid is nearly 100 % ionized, while a weak acid is only slightly ionized. 14_322 Before dissociation HA After dissociation, at equilibrium H+ A– (a) HA HA H+ A– (b) Diagram a represents a strong acid, while b represents a weak acid which remains mostly in the molecular form. 14_323 Relative acid strength Very strong Relative conjugate base strength Very weak Strong Weak The relationship of acid strength and conjugate base strength for acidbase reactions. Weak Strong Very weak Very strong Arranging Species According to Increasing Basic Strength H2O, F-, Cl-, NO2-, & CNUse Table 14.2 on page 663. Cl- is weakest since it is conjugate base of strong acid and weaker than water. Use Ka values to arrange the remaining bases. Cl- < H2O < F- < NO2- < CN- Water as an Acid and a Base Water is amphoteric (it can behave either as an acid or a base). H2O + H2O H3O+ + OH acid 1 base 2 conj acid 2 conj base 1 Kw = 1 1014 M2 at 25°C Ion product Constant, Kw Kw is called the ion-product constant or dissociation constant. neutral solution [H+] = [OH-] = 1.0 x 10 -7 M acidic solution [H+] > [OH-] [H+] > 1.0 x 10-7 M basic solution [H+] < [OH-] [OH-] > 1.0 x 10-7 M No matter what the concentration of H+ or OH- in an aqueous solution, the product, Kw, will remain the same. [H+] & [OH-] Calculations Calculate the [H+] for a 1.0 x 10-5 M OH-. Kw = [H+][OH-] [H+] = Kw/[OH-] [H+] = 1.0 x 10-14 M2/1.0 x 10-5 M [H+] = 1.0 x 10-9 M [H+] & [OH-] Calculations Continued Calculate the [OH-] for a 10.0 M H+. Kw = [H+][OH-] [OH-] = Kw/[H+] [OH-] = 1.0 x 10-14 M2/10.0 M [OH-] = 1.0 x 10-15 M Kw & H At 60oC, the value of Kw is 1 x 10-13 for the dissociation of water: 2 H2O(l) <---> H3O+(aq) + OH-(aq) Is this reaction exothermic or endothermic? Endothermic -- Kw increased with temperature. The pH Scale pH = log[H+] pH in water usually ranges from 0 to 14. Kw = 1.00 1014 = [H+] [OH] pKw = 14.00 = pH + pOH As pH rises, pOH falls (sum = 14.00). pH & + [H ] pH = 0 pH = 7 pH = 14 1x 10-14 1 x 10-7 1 x 100 OH - + O H3 OHH3O+ OH H3O+ 1 x 100 1 x 10-7 1 x 10-14 Logarithms -log 1.00 x 10-7 = 7.000 7.000 characteristic mantissa The number of significant digits in 1.00 x 10-7 is three, therefore, the log has three decimal places. The mantissa represents the log of 1.00 and the characteristic represents the exponent 7. 14_324 [H+] pH 10–14 14 –13 10 Basic 1 M NaOH 13 10–12 12 10–11 11 Ammonia (Household cleaner) 10–10 10 pH scale and pH values for common substances. A pH of 1 is 100 times more acidic than a pH of 3. 10–9 9 10–8 8 –7 7 10–6 6 10–5 5 10–4 4 10–3 3 Acidic 10–2 2 10–1 1 1 0 Neutral 10 Blood Pure water Milk Vinegar Lemon juice Stomach acid 1 M HCl pH Calculations What is the pOH, [H+], & [OH-] for human blood with a pH of 7.41? pH + pOH = 14.00 pOH = 14.00 - pH pOH = 14.00 - 7.41 pOH = 6.59 pH Calculations Continued What is the pOH, [H+], & [OH-] for human blood with a pH of 7.41? pH = - log [H+] [H+] = antilog (-pH) [H+] = antilog (-7.41) [H+] = 3.9 x 10-8 M Note: The number of significant figures in the antilog is equal to the number of decimal places in the pH. pH Calculations Continued What is the pOH, [H+], & [OH-] for human blood with a pH of 7.41? pOH = - log [OH-] [OH-] = antilog (-pOH) [OH-] = antilog (-6.59) [OH-] = 2.6 x 10-7 M Note: The number of significant figures in the antilog is equal to the number of decimal places in the pOH. pH of Strong Acid Solutions Calculate the pH of a 0.10 M HNO3 solution. Major species are: H+, NO3-, and H2O Sources of H+ are from HNO3 and H2O -amount from water is insignificant. [H+] = 0.10 M Note: The number of significant figures in the [H+] is the same as the decimal places in the pH. pH = - log [H+] pH = - log [0.10] pH = 1.00 pH & Significant Figures log # Significant Figures -------> # decimal places <------inv log pH = - log [H+] [H+] = inv log (-pH) [H+] = 1.0 x 10-5 M pH = 5.00 Solving Weak Acid Equilibrium Problems - List major species in solution. - Choose species that can produce H+ and write reactions. - Based on K values, decide on dominant equilibrium. - Write equilibrium expression for dominant equilibrium. - List initial concentrations in dominant equilibrium. Solving Weak Acid Equilibrium Problems (continued) - Define change at equilibrium (as “x”). - Write equilibrium concentrations in terms of x. - Substitute equilibrium concentrations into equilibrium expression. - Solve for x the “easy way.” x can be neglected when concentration is 2 powers of 10 (100x) greater than Ka or Kb. - Verify assumptions using 5% rule. - Calculate [H+] and pH. pH of Weak Acid Solutions Calculate the pH of a 0.100 M HOCl solution. Major species: HOCl and HOH Ka HOCl = 3.5 x 10-8 & Ka HOH = 1.0 x 10-14 HOCl will be only significant source of [H+]. Ka = 3.5 x 10-8 = [H+][OCl-]/[HOCl] pH of Weak Acid Solutions Continued ICE [HOCl] [OCl-] [H+] Initial (mol/L) 0.100 0 0 Change (mol/L) -x +x +x 0+x 0+x Equil. (mol/L) 0.100 - x pH of Weak Acid Solutions Continued Ka = 3.5 x 10-8 = [H+][OCl-]/[HOCl] 3.5 x 10-8 = [x][x]/[0.100 - x] Ka is more than 100 x smaller than concentration, x can be neglected in the denominator. Ka = 3.5 x 10-8 = [x][x]/[0.100] x2 = 3.5 x 10-9 x = 5.9 x 10-5 M pH of Weak Acid Solutions Continued Approximation check: % dissociation = (x/[HA]o) (100%) % dissociation = (x/[HOCl]o) (100%) % dissociation = (5.9 x 10-5/0.100)(100%) % dissociation = 0.059 % This is much less than 5 % and therefore the approximation was valid. Percent Dissociation (Ionization) amount dissociated( M ) % dissociation (100%) initial concentration( M ) The percent dissociation calculation is exactly the same as the one to check the 5 % approximation. See Sample Exercise 14.10 on pages 678 and 679. % Dissociation Calculations In a 0.100 M lactic acid solution (HC3H5O3), lactic acid is 3.7 % dissociated. Calculate the Ka for this acid. Major species: HC3H5O3 & HOH HC3H5O3(aq) <---> H+(aq)+ C3H5O3-(aq) Ka = [H+][C3H5O3-]/ [HC3H5O3] % Dissociation Calculations Continued ICE [HC3H5O3] Initial (M) 0.10 [C3H5O3-] 0 [H+] 0 Change (M) - 3.7 x 10-3 + 3.7 x 10-3 + 3.7 x 10-3 Equil. (M) 0.10 + 3.7 x 10-3 + 3.7 x 10-3 % Dissociation Calculations Continued Ka = [H+][C3H5O3-]/ [HC3H5O3] Ka = [3.7 x 10-3]2/ [0.10] Ka = 1.4 x 10-4 14_325 More concentrated More dilute Acid concentration Percent dissociation H+ concentration The effect of dilution on the % dissociation and [H+] of a weak acid solution. Bases Bases are often called alkalis because they often contain alkali or alkaline earth metals. “Strong” and “weak” are used in the same sense for bases as for acids. strong = complete dissociation (hydroxide ion supplied to solution) NaOH(s) Na+(aq) + OH(aq) Bases (continued) weak = very little dissociation (or reaction with water) H3CNH2(aq) + H2O(l) H3CNH3+(aq) + OH(aq) See Table 14.3 on page 685 for Kb values of common bases. Kb calculations are identical to Ka calculations. Polyprotic Acids . . . can furnish more than one proton (H+) to the solution. H 2CO3 H HCO3 ( Ka1 ) HCO3 H CO32 ( Ka 2 ) See Table 14.4 on page 689 for Ka values for common polyprotic acids. Know Sample Exercises 14.15 & 14.16 on pages 689-692. Acid-Base Properties of Salts Cation neutral neutral Acidic or Basic neutral basic Anion neutral conj base of weak acid conj acid of neutral acidic weak base conj acid of conj base of depends on weak base weak acid Ka & Kb values Example NaCl NaF NH4Cl Al2(SO4)3 Structure and Acid-Base Properties Two factors for acidity in binary compounds: - Bond Polarity (high is good) - Bond Strength (low is good) 14_326 Cl O H Electron density O Cl O H Electron density O Cl The effect of the number of attached oxygen on the H-O bond in a series of chlorine oxyacids. O H O Electron density O O Cl O O H Electron density Oxides Acidic Oxides (Acid Anhydrides): - OX bond is strong and covalent. SO2, NO2, CrO3 Basic Oxides (Basic Anhydrides): - OX bond is ionic. K2O, CaO Lewis Acids and Bases Lewis Acid: electron pair acceptor Lewis Base: electron pair donor Al3+ + 6 O H H Al H 3+ O H 6