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Buffers 1. Titrations and pH curves 2. Solubility equilibria 3. Topics in ...

Buffers 1. Titrations and pH curves 2. Solubility equilibria 3. Topics in ...

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ch16blank Page 3Buffer <strong>pH</strong> calculationWhat is the <strong>pH</strong> of a solution of0.10 M ammonium chloride <strong>and</strong> 0.15 M ammonia?


ch16blank Page 4Add<strong>in</strong>g a strong acid or base to a buffer<strong>Buffers</strong> resist changes <strong>in</strong> <strong>pH</strong> because they conta<strong>in</strong> bothan acid <strong>and</strong> a base.In a buffer of HA <strong>and</strong> A − :What happens when you add H 3 O + to the buffer?What happens when you add OH − to the buffer?


ch16blank Page 5Add<strong>in</strong>g a strong acid or base to a bufferCalculate the <strong>pH</strong> when 0.0050 mol strong acid is added toa buffer which conta<strong>in</strong>s 0.010 mol NH 4+ <strong>and</strong> 0.015 molNH 3 ?<strong>1.</strong>Stoichiometry calculation<strong>2.</strong>Equilibrium calculation (H-H equation)


ch16blank Page 6Add<strong>in</strong>g a strong acid or base to a bufferA buffer conta<strong>in</strong>s 0.47 M HNO 2 <strong>and</strong> 0.61 M NaNO 2 . Whatis the <strong>pH</strong> of this buffer?What is the <strong>pH</strong> when 8.7 mL of 0.128 M NaOH is addedto 243 mL of the buffer solution?


ch16blank Page 7Buffer capacity <strong>and</strong> buffer rangeRelative amounts of acid <strong>and</strong> base:A buffer is most effective when the ratio of A − to HA isbetween 0.1 <strong>and</strong> 10. What <strong>pH</strong> range does thiscorrespond to?So, when creat<strong>in</strong>g a buffer, make sure the pK a of theacid is as close to the desired <strong>pH</strong> as possible.What is the <strong>pH</strong> range of a buffer created by formicacid (pK a = <strong>3.</strong>74) <strong>and</strong> its conjugate?What ratio of the base to acid would be needed tomake a <strong>pH</strong> 4.00 buffer?Absolute concentrations of acid <strong>and</strong> base:A buffer is effective when the concentrations of A −<strong>and</strong> HA are at least 10x greater than theconcentration of an added strong acid or base.


ch16blank Page 8<strong>Titrations</strong> <strong>and</strong> titration <strong>curves</strong>Known concentrationUnknown concentrationTitration curve:graph of <strong>pH</strong> vs volumeof solution addedStrong acid titrated with strong base<strong>pH</strong>Vol NaOH added (mL)


ch16blank Page 9Strong acid titrated with strong base50.0 mL HCl of unknown concentration is titrated with0.150 M NaOH. The titration curve's only <strong>in</strong>flection po<strong>in</strong>toccurs at 40.0 mL of added base. What was the <strong>in</strong>itial HClconcentration?What was the <strong>in</strong>itial <strong>pH</strong> of the HCl solution?What is the <strong>pH</strong> after 60.0 mL NaOH is added?


ch16blank Page 10Weak acid titrated with strong base<strong>pH</strong>Vol NaOH added (mL)HA + OH − →Buffer region:At the midpo<strong>in</strong>t (half-equivalence pt):


ch16blank Page 11Weak acid titrated with strong base40.0 mL of 0.0788 M HA are titrated with 0.100 M NaOH.What is the volume of NaOH added at the equivalencepo<strong>in</strong>t?If the <strong>pH</strong> = 4.88 at the midpo<strong>in</strong>t, what is K a <strong>and</strong> what isthe <strong>pH</strong> at the endpo<strong>in</strong>t?


ch16blank Page 12Weak acid titrated with strong baseWhat is the <strong>pH</strong> after 10.0 mL 0.100 M NaOH is added to40.0 mL of 0.0788 M HA (the titration on the last page)?


ch16blank Page 13Weak acid titrated with strong base75.0 mL of a weak acid are titrated by 0.125 M NaOH.The endpo<strong>in</strong>t occurs at 6<strong>2.</strong>1 mL of added base, <strong>and</strong> the<strong>pH</strong> at the midpo<strong>in</strong>t is <strong>3.</strong>1<strong>2.</strong> What is the <strong>in</strong>itial acid concentration? What is the K a ? What is the <strong>pH</strong> <strong>in</strong>itially <strong>and</strong> at the equivalencepo<strong>in</strong>t?


ch16blank Page 14Weak base <strong>and</strong> polyprotic acid titrationsWeak base titr by strong acid<strong>pH</strong>Vol HCl added (mL)Polyprotic acid titr by strong base<strong>pH</strong>Vol NaOH added (mL)


ch16blank Page 15<strong>pH</strong> IndicatorsMake sure the color range of your <strong>in</strong>dicator is with<strong>in</strong> themost vertical part of the titration curve!


ch16blank Page 16<strong>Solubility</strong> <strong>equilibria</strong>Compounds we called "<strong>in</strong>soluble" before, are actuallyvery slightly soluble, governed by an equilibrium:CaF 2 (s) ⇌ Ca 2+ (aq) + 2 F − (aq)<strong>Solubility</strong> product constant, K sp for CaF 2 =Molar solubility, S =mol solute (when saturated)L solutionIf the molar solubility, S, of PbF 2 is <strong>2.</strong>61 x 10 −3 M, what isthe K sp of PbF 2 ?PbF 2 (s) ⇌What are the ion concentrations?


ch16blank Page 17Calculat<strong>in</strong>g molar solubilityIf K sp for Mg(OH) 2 is <strong>2.</strong>06 x 10 −13 , calculate the molarsolubility, S.


ch16blank Page 18K sp <strong>and</strong> relative solubilityDirect comparison of K sp values only works betweencompounds that dissociate <strong>in</strong>to the same number ofions.Which is the most soluble?BaF 2CaF 2Fe(OH) 2PbCl 2PbBr 2K sp = <strong>2.</strong>45 x 10 −5K sp = <strong>1.</strong>46 x 10 −10K sp = 4.87 x 10 −17K sp = <strong>1.</strong>17 x 10 −15K sp = 4.67 x 10 −6


ch16blank Page 19Common Ion EffectHow is solubility affected when more ions are added tothe solution?Ca(OH) 2 (s) ⇌ Ca 2+ (aq) + 2 OH − (aq); K sp = 4.68 x 10 −6To this solution, we add Ca(NO 3 ) 2Na + , K + , NH 4+ ,NO 3− , C 2 H 3 O 2−make compoundstotally solubleThe reaction shifts:A common ion <strong>in</strong> solution will _________ a compound'ssolubility.


ch16blank Page 20Common ion effect calculationWhat is S for Ca(OH) 2 ? K sp = 4.68 x 10 −6What is S for Ca(OH) 2 <strong>in</strong> 0.10 M Ca(NO 3 ) 2 solution?


ch16blank Page 21Effect of <strong>pH</strong> on solubilityIf a compound's dissociation produces a basic anion(usually OH − , CO 32−, S 2− ), solubility is dependent on <strong>pH</strong>.CaCO 3 (s) ⇌ Ca 2+ (aq) + CO 32−(aq)Addition of strong acid to this solution…A similar effect occurs when base is added to a solutionwhich conta<strong>in</strong>s an acidic cation.


ch16blank Page 22PrecipitationTo calculate whether or not a precipitate will form, takethe given ion concentrations <strong>and</strong> calculate Q (thereaction quotient).If Q = K sp :If Q > K sp :If Q < K sp :A newly mixed solution has these ion concentrations:[Pb 2+ ] = 0.25 M, [Cl − ] = 0.017 M. Will a precipitate form?K sp (PbCl 2 ) = <strong>1.</strong>17 x 10 −5 .

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