CHAPTER 9 Acids, Bases, and Salts 9.1 ARRHENIUS THEORY • Understand the Arrhenius and Brønsted theories of acid-base behavior • Use equations for neutralization reactions ACID Anything that produces hydrogen ions when dissolved in water HCl → H+ + Cl- BASE Anything that produces hydroxide ions when dissolved in water NaOH → Na+ + OH- • Describe relative strengths of acids and bases • Explain the hydrolysis of salts • Calculate pH • Understand the action of buffers and calculate buffer pH using the Henderson-Hasselbalch equation Acid-Base Properties of Water 9.2 BRØNSTED-LOWRY THEORY Water is amphiprotic, it can act either as an acid or a base: THIS ONE COUNTS: ACID H+ Proton donor (adds to solvent) HCl + H2O → H3O+ + ClH+ + H2O: → HO2H+ (H3O+) HCN(aq) + H2O(l) base1 acid1 H2O(l) + NH3(aq) acid1 base1 H+ addition BASE Proton acceptor (removes H+ from solvent) NH3 + H2O → NH4+ + OH:NH3 + HOH → HNH3+ + OH- ↔ ↔ H3O+ + CN- (aq) acid2 base2 NH4+(aq) + OH- (aq) acid2 base2 CONJUGATE PAIR CONJUGATE PAIR H+ transfer 9.4 SELF-IONIZATION OF WATER • In pure water at 25°C, [H+] = 1.0×10-7 M [OH-] = 1.0×10-7 M Water undergoes autoionization (self-ionization): its molecules react with one another to form ions: • A solution is ACIDIC if [H+] > [OH-] This means: [H+] > 1.0×10-7 M [OH-] < 1.0×10-7 M H2O + H2O ↔ H3O+ + OHacid base acid base [H3O+][OH-] Keq = —————— [H2O]2 • A solution is BASIC or [H+] < This means: [H+] < [OH-] or, since H3O+ ⇔ H+(aq): H2O ↔ H+(aq) + OH-(aq) ALKALINE if [OH-] 1.0×10-7 M > 1.0×10-7 M • A solution is NEUTRAL if [H+] = [OH-] = 1.0×10-7 M + KKw == [H [H+][OH ][OH-]] w -14 == 1.0×10 at 25°C 25°C 1.0×10-14 at Page 9-1 9.9 ACID AND BASE STRENGTH Dissociation Complete dissociation in water STRONG HX (X = Cl, Br, I), HNO3, HClO4, ACIDS H2SO4 WEAK ACIDS STRONG ACIDS AND BASES HCl + H2O NaOH Partial dissociation in water HF and most other acids WEAK ACIDS AND BASES OH- STRONG Dissociation in water to yield BASES Metal hydroxides: NaOH, Ca(OH)2 WEAK BASES H3O+ + ClNa+ + OH- CH3COOH + H2O NH3 + H2O H3O+ + CH3COONH4+ + OH- Weak H+ acceptors NH3, C6H5NH2 Acid Dissociation Constant Ka ACID The weak acid dissociation HCl HA + H2O ↔ H3O+ + A- + [A ][H33O O+]] [A-][H KKa == ————— ————— ≡≡ a [HA] [HA] Ka HCl → H+ + Cl- ∞ H2SO4 → H+ + HSO4- H2SO4 has the equilibrium constant Ka (< 1): DISSOCIATION HSO4- → H+ + SO42- HC2H3O2 HC2H3O2 → H+ + C2H3O2- + [A [A-][H ][H+]] ———— ———— [HA] [HA] KKa is a measure of the acid strength a is a measure of the acid strength ∞ 1.2×10-2 1.8×10-5 H2CO3* H2CO3 → H+ + HCO3HCO3- → H+ + CO32- 4.3×10-7 5.6×10-11 C6H5OH C6H5OH → H+ + C6H5O- 1.3×10-10 *H2CO3 ↔ H2O + CO2↑ 9.6-9.8 PROPERTIES of ACIDS and BASES • Metal hydroxides and oxides react with (NEUTRALIZE) acids to produce the salt of the acid and H2O: • Many metals react with acids to produce H2 and the SALT of the acid: NaOH + HBr → NaBr + H2O Cu2O + 2HBr → CuBr2 + H2O Zn + 2HCl → ZnCl2 + H2↑ • Weak bases react with (NEUTRALIZE) acids to produce the salt of the acid: • Metal oxides react with acids to produce the salt of the acid (and H2O if acid other than water), since O2- is a very strong base: NH3 + HCl → NH4Cl CaO + H2O → Ca(OH)2 CaO + 2HCl → CaCl2 + H2O ACID ACID ++ BASE BASE → → SALT SALT Page 9-2 9.10 Acid-Base Analysis SALTS Examples: Recovered by evaporation from aqueous solution (where their ions were solvated), many salts are isolated as HYDRATES: the solid salt contains water molecules as part of the crystalline structure Requires known [OH-] (or [H+]) as standard titrant CuSO4•5H2O actually consists of Cu(H2O)42+ and SO4(H2O)2ions Vf H +) (or is added Enough to react exactly — no extra STANDARD SOLN Vstd = V0 - Vf OH- (or H+) — with the unknown acid or base OH- Application: CaCO3·6H2O + heat → limestone CaCO3 + 6H2O Hydrates may lose all or part of this WATER OF HYDRATION when they are heated Vx 9.5 THE pH CONCEPT If • We measure and use acids and bases over a wide (!) range of concentrations. • A logarithmic scale (pH) is a convenient way to express these very large and very small numbers. then so pH pH == -log[H -log[H++]] KKww == V0 Titration of [H+] or [OH- ] FeCl3•6H2O actually consists of Fe(H2O)63+ and Cl- ions [H [H++][OH ][OH--]] == X = 10n 0.010 = 10−2 log10X = n log10(0.010) = −2.00 X = 0.010 = 10log(0.010) 10logX “Logarithmic” ruler: -14 10 10-14 1 pK pKww == pH pH ++ pOH pOH == 14.00 14.00 2 3 4 5 6 10−4 10−5 10−6 Linear translation of “pH” ruler: • [H+] = 10-pH • If pH1 = pH2 - 1, then [H+]1 = 10[H+]2 1 2−1 6−1 3−1 10−1 10−2 10−3 pH Scale Examples A log based scale used to keep track of the large change important to acids and bases 14 10-14 M VERY BASIC 7 0 100 M VERY ACIDIC • When you add an ACID, the pH gets LOWER • When you add a BASE, the pH gets HIGHER Page 9-3 SUBSTANCE pH 1M HCl 0.0 Lemon juice 2.3 Coffee 5.0 Pure H2O 7.0 Blood 7.35-7.45 Milk of magnesia 10.5 Household ammonia 11.7 1M NaOH 14.0 9.12 HYDROLYSIS REACTIONS of SALTS • When a salt dissolves in water, the cation(s) and anion(s) are hydrated CATION ANION SOLUTION of of pH • The ANION OF A WEAK ACID will hydrolyze (react with water) to RELEASE HYDROXIDE: A- + H2O ↔ HA + OHC2H3O2- + H2O ↔ HC2H3O2 + OH• The CATION OF A WEAK BASE will hydrolyze to PRODUCE HYDROGEN ION: BH+ + H2O ↔ B: + H3O+ NH4+ + H2O ↔ NH3 + H3O+ RESULT: STRONG BASE ACID > 7.0 NaC2H3O2 BASE STRONG ACID < 7.0 NH4Cl STRONG BASE STRONG ACID IF EQUAL STRENGTH BASE ACID IF EQUAL STRENGTH Many salt solutions are either acidic or alkaline (basic) pH Values: 0.100 M solutions NaOH 13.00 NaOH 13.00 NaCl 7.00 NH3 11.12 HCl 1.00 Example of Type 1 (Acetic acid + Na acetate): H+ + A- ↔ HA + H2O ← removes H+ OH- + HA ↔ A- + H2O ← removes OHExample of Type 2 (Ammonia + NH4+ chloride): H+ + NH3 ↔ NH4+ + H2O ← removes H+ OH- + NH4+ ↔ NH3 + H2O ← removes OH- Henderson-Hasselbalch Equation • O2 transported by hemoglobin in erythrocytes • CO2 transported in both plasma and erythrocytes • CO2 converted to H2CO3 by enzymatic action and to HCO3- by hydrolysis: [A-][H+] Ka = ———— [HA] Ka[A-] [H+] = ———— [A-] H2CO3 ↔ H+ + HCO3- H+ High pH: H2CO3 + OH- NH4C2H3O2 Two types: 1. Weak acid (HA) and its salt (source of A-) 2. Weak base (B:) and its salt (BH+A-) Buffers and Blood pH H2CO3 ~7.0 KBr Solutions Solutions that that resist resist changing changing pH pH when when small small amounts amounts of of acid acid or or base base are are added added NH4Cl 5.12 Low pH: ~7.0 9.13 BUFFERS HC2H3O2 2.88 NaC2H3O2 8.88 HCl 1.00 EXAMPLE [HA] log[H+] = logKa + log ——— [A-] + HCO3– HCO3– + H2O [A [A-]] ← Salt (ex: Na acetate) pH log ——— ——— pH == pK pKaa ++ log [HA] [HA] ← Weak acid (ex: acetic acid) Page 9-4
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