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CH 15 SummaryEquilibrium is a balance between products and reactants

Use stoichiometry to determine reactant or product ratios, but NOT reactant to product ratios.

Capital K is used to represent the equilibrium constantProducts over reactants raised to their stoichiometric coefficientsCalculated from balanced equation, subscript designates units used, Kc, KpNo units used in final written K

Equlibrium Calculations and Reaction QuotientsICE tables used to manipulate initial and equilibrium concentrations.

Factors influencing K Concentration of chemicals and temperature affect all equilibriaT, P, V changes affect Kp in gases

CatalysisEffect of catalysts and inhibitors, reasons they are used.

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Polyatomic IonsMemorize These!

Ammonium NH4+ Nitrate NO3

-

Hydronium H3O+ Nitrite NO2-

Acetate CH3COO- Phosphate PO43-

Carbonate CO32- Cyanide CN-

Permanganate MnO4- PerchlorateClO4

-

Hydroxide OH- Sulfate SO42-

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Chapter 4: Solution Chemistry

MolarityConversions between moles and liters

DilutionsCalculate concentration of diluted solution from a stock solution M1V1=M2V2Calculate mass of solid needed to make a solution

Acid Base TitrationsIdentifying acids and basesKnow properties of acids and basesKnow list of specific acids both names and formulasDetermine concentration of unknown solutions using titration

4

Common Acids to MemorizeStrongHydrochloric Acid: HClSulfuric Acid: H2SO4Nitric Acid: HNO3Perchloric Acid: HClO4Hydrobromic Acid: HBrHydroiodic Acid HI

WeakCarbonic Acid: H2CO3Phosphoric Acid: H3PO4Acetic Acid: CH3COOHHydrofluoric Acid: HF

Chapter 16

Acids and Bases

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Bronsted Acids and BasesAcid Compound that loses H+ to a base

Base Compound that gains H+ from an acid

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SA WB CA CB

WB WA CA CB

Conjugate Acid-Base PairAcid-Base pair exchanging the H+Conjugate acid: Product with the extra H+

Conjugate base: Product with 1 less H+ ion than reactant

Carboxylic Acids: -COOHWeak organic acids:

COOH group on molecule is acidicCreates resonance structureStabilizes anion

Never fully dissociate in waterWill always be an equilibrium reaction

7

Reactivity of Weak Acid and Bases

Strong Acids and Bases: Full dissociation Conjugate bases and acids form spectator ionsCan use Chem 101 stoichiometry in calculationsNo original reactant or product left in solution

Weak Acids and Bases: Partial dissociationForms an equilibrium: Ka or Kb

Acid/Base strength in aqueous solutionsH3O+ is the strongest acidOH- the strongest baseWater acts as weak acid or base in the reaction

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Acid-Base Properties of Water: Autoionization

Water is slightly conductive due to the following reaction:

2H2O(l) H3O+(aq) + OH–(aq)Process is called Autoionization

Acid-Base Reaction between identical molecules1 molecule acts as an acid, the other a base

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Calculation of [H3O+] and [OH–] in WaterTreat as an equilibrium reaction at 25° C

H2O(l) + H2O(l) H3O+(aq) + OH–(aq) WB WA SA SB

Kw = [H3O+][OH–] = 1.0×10–14 Ion-Product constant Kw is very small: Favors weaker acid-base pair (H2O)

Make ICE tableProducts [H3O+] [OH–]Initial 0 0Change +x +xEquilibrium x x

Solve for [H3O+] and [OH-]1.0 x 10-14 = [H3O+][OH–] = [x][x] = x2

x = [H3O+] = [OH–] = 1.0×10–7 M pH = 7 of pure water

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pHMethod of measuring acidity (p)ower of the (H)ydrogen ion

CalculationspH = -log[H3O+] [H3O+] = 10(-pH)

pOH = -log[OH-] [OH-] = 10(-pOH)

Kw = [H3O+][OH-] = 1x10-14MpKw=pH + pOH = 14

Effects in 1M Strong Acid (pH = 0)[H3O+]= 1M then [OH-]= 1x10-14M

Effects in 1M Strong Base (pH= 14)[OH-]= 1M then [H3O+]= 1x10-14M

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pH and pOHCalculations

Strong Acids and Bases

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pH and pOH CalculationspOH: (p)ower of the (OH-) ion = 14.00-pH1. Find pH and pOH of an 0.0050M HBr at 25°C.

HBr(aq)+ H2O(l)H3O+(aq) + Br–

(aq) [H3O+]= 0.0050M pH = –log[H3O+] = –log(5.0×10–3) = 2.30pOH =14.00- 2.30 = 11.70

2. Find pH and pOH at 25°C of 3.7×10–5 M NaOHNaOH(aq) Na+(aq) + OH– (aq) [OH–] = 3.7×10–5M pOH = -log[OH-]= 4.43pH = 14.00- pOH = 14.00-4.43 = 9.57

Significant FiguresSigfigs in concentration = sigfigs after decimal point in pH

[H3O+] =3.7×10–5 M pH = 4.4313

Acidity Calculations: Strong Acids & BasesCalculate the H3O+ and OH– concentrations at 25°C

of an aqueous 0.010M solution of nitric acid?Write reactions:HNO3(aq) + H2O(l) H3O+(aq) + NO3

–(aq) H3O+ = 0.010 M2H2O(l) H3O+(aq) + OH– (aq) H3O+ = 1.0×10–7 M

[H3O+] contributed by water is negligible[H3O+] = 0.010 + (1.0×10–7) = 0.0100001 M[OH-] =Kw ÷ [H3O+] = (1.0×10–14) ÷ (0.010) = 1.0×10–12 M

Strong acid increases [H3O+] and suppresses [OH-] pH = -log[H3O+] = -log[0.010M] = 2.00

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Acidity Calculations for Dilute SolutionsCalculate the H3O+(aq) + OH– (aq) of a 1.00×10–6M

solution of NaOH at 25°C?Write reactions:

NaOH(aq) Na+(aq) + OH–(aq) [OH–] = 1.00×10-6M 2H2O(l) H3O+(aq) + OH–(aq) [OH–] = 1.00×10-7M[OH–] < 1.00×10-7M because of Le Chatelier’s Principle

Total concentrations:[OH–] = 1.00×10–6 + 0.10×10-6M (10%)NOT less than 1.00×10–7 not negligibleMust use an ICE table if solution less than 10-6M

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Strength of Acids and Bases

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Strength of Acids and BasesStrong acids and bases are strong electrolytes

Completely ionized in water, no original compound leftGood conductors of electricity.Directional arrow (→) indicates dissociation is complete

Weak acids and bases are weak electrolytesPartial ionization in water, original compound remainingPoor conductors of electricityDouble arrow (↔) indicates dissociation is incompleteGoverned by an equilibrium constant, Ka or Kb

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Strong vs. Weak Acids

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Weak Acids and Bases

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Stronger acids will dominate over weaker acidsHNO2(aq)+ CN-(aq)HCN (aq)+ NO2

- (aq) K>1

If paired with group 1 cation, will be strong base

Weak Acids and Ka

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Weak Acids, Ka and pKaALWAYS write a reaction of weak acid HA in water:HA(aq) + H2O(l) H3O+(aq) + A–(aq)

The equilibrium constant for this reaction is:

Ka is the acid ionization constant.Quantitative measure of acid strengthLarge Ka :Stronger acid

pKa = -log Ka

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ac KHA

AOHK ==−+

][]][[ 3

Ka Values of Common Weak Acids

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Ka Calculations0.100 mole of HF is dissolved in 1.00 L of water at 25 °C. The pH at equilibrium was found to be 2.08. Calculate Ka.HF(aq)+ H2O(l) H3O+(aq) + F–(aq)Make table [HF] [H3O+] [F-]

Initial 0.100 0 0Change -x +x +xEquilibrium 0.100 -x +x +x

Find [H3O+], [F-] and [HF][H3O+] = 10(-pH) = 10-2.08 = 8.3 x 10-3 M = [F-]=x[HF] = 0.100 -x = 0.100 – 0.0083M=0 .0917M=.092M

Calculate Ka

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][]][[ 3

HFFOHKa

−+

=

423

3 105.7]092.0[)103.8(

][]][[ −

−−+

=== xxHF

FOHKa

Percent Ionization and Ka

Measure pH of weak acid of known initial concentration

pH gives [H3O+] at equilibrium. Get equilibrium concentrations from table

Percent ionization (α) of a weak acid

Use stoichiometry of chemical equation to calculate equilibrium concentrations in Ka

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%100][][%100

][][ 3 x

HAAx

HAOH −+

==α

Ka Calculations

A 0.0100 M solution of HNO2 is 19% ionized at equilibrium. Find Ka.

HNO2(aq)+ H2O(l) H3O+(aq) + NO2–(aq)

Make table [HNO2] [H3O+] [NO2-]

Initial 0.0100 0 0Change -x +x +xEquilibrium 0.0100 -x +x +x

Find [H3O+], [NO2-] & [HNO2]

Calculate Ka

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%100][

][ 3 xHA

OH +

=α MxX 3109.1 X ]0100.0[

][%19 −==

43

23

2

23 106.4)109.10100.0(

)109.1(][

]][[ −−

−−+

=−

== xx

xHNO

NOOHKa

Determination of Relative Acidity from KaWhich is the stronger acid, HF or HNO2?

HF pKa = –log Ka = –log(7.5×10–4) = 3.12

HNO2pKa = –log Ka = –log(4.6×10–4) = 3.34

Stronger AcidHigher KaSmaller pKa HF stronger acid

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Find the pH of a 0.010 M Solution of Hypochlorous Acid [HClO] at 25 oC.

pH range from strong acid to pure waterStrong acid, pH = -log [0.010] = 2.0Pure water = pH = -log [1.0 x 10-7] = 7.0

Ka of hypochlorous acid = 2.9×10–8

Look up in table, not a calculated numberNot a strong acid: Incomplete dissociationmust use equilibrium calculations

Calculate H3O+ from Ka

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Making Approximations in Equilibrium Calculations

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Find the pH of a 0.010 M Solution of Hypochlorous Acid [HClO] at 25 oC.

Calculate H3O+ from Ka

X = [H3O+] = 0.000017[HClO] = 0.010-000017

~ 0.010 M

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Calculate pH from [H3O+]pH = -log [H3O+]

= -log (1.7 ×10-5) = 4.77

Could have approximated!

[HClO]eq= initial [HClO]

HClO(aq) + H2O(l) H3O+(aq) + ClO–(aq)Initial 0.010 - 0 0Change –x - +x +xEquilibrium 0.010 – x - x x

][]][[ 3

HClOClOOHKa

−+

=

]010.0[]][[109.2 8

xxxx−

=−

Estimating Equilibrium ConcentrationsPurpose:

Simplify equilibrium concentration calculationsAvoid the quadratic equation

Procedure: Draw up your ICE tableIgnore x in the initial acid concentration Solve for x with the ICE tableDivide x by the initial acid concentration.

If [x]/[HA] x 100< 5%, you can say that [HA] +x = [HA]If not, you cannot make this assumptionThe error in the number will be over 5%

For previous problem estimate [HClO] at equilibrium [x]/[HA] = 1.7x10-5/0.050 = 0.034% so approximate

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HCHO2(aq) + H2O(l) CHO2-(aq) + H3O+(aq)

Initial 0.050 - 0 0Change – x - + x + xEquilibrium 0.050 – x - x x

Initial Data[HCHO2] = 0.050 given in problem[CHO2

-] and [H3O+]= 0 since you are adding nothing at start

Find the pH of a 0.050 M Solution of Formic Acid

Look up Ka in table and solve for x x =3.0x10-3

Calculate pHx = [H3O+ ] = 3.0×10–3 M pH = 2.52

]050.0[]][[

][]][[108.1

2

234xx

HCHOCHOOHxKa ===

−+−

Calculate the pH of a 3.8×10-5 M solution of acetic acid at 25 oC? pKa = 4.77

Convert pKa to KapKa = 4.77 Ka = 10-4.77= 1.7x10-5

With approximation

X= 2.54 x10-5

pH =4.59

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Solve for [x] with quadratic

x = 1.8×10-5 [H3O+]= 1.8×10-5

Solve for pHpH = –log[H3O+]

pH= –log(1.8×10–5) = 4.74

HC2H3O2(aq) + H2O(l) H3O+(aq) + C2H3O2–(aq)

Initial 3.8×10–5 - 0 0Change – x - +x +xEquilibrium 3.8×10–5 – x - x x

]OHC[]OHC][[

232

2323

HOHKa

−+

=

]108.3[]][[107.1 5

5

xxxxxKa −

== −−

Polyprotic acids

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Polyprotic acidsAcids with more than one ionizable H atom

1. Treat first dissociation as monoprotic acids (1H+)

2. Use successive acid ionization constants 1 for each ionized H atomNumber sequentiallyKa1, Ka2, Ka3, ...

3. Each equilibrium constant is less likely to affect pH than the one before it

You may not need all of them to solve problems

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Calculate the pH of a 0.0050 M sulfuric acid.Sulfuric acid is a strong acid: Full dissociation of first H+

H2SO4(aq) + H2O(l) H3O+(aq) + HSO4–(aq)

0.0050M H2SO4 0.0050M H3O+ + 0.0050M HSO4–

Full dissociation of first H+ only!

Bisulfate ion, HSO4-: Weak acid equilibrium with 2nd H+

HSO4-(aq) + H2O(l) H3O+(aq) + SO4

2–(aq)Ka = 1.1 x 10-2 for HSO4

-(aq) [HSO4–]= [ H3O+ ]= 0.0050M

Estimate of pHBoth H ionize pH =–log(2×0.0050) = 2.00Ionization1 H pH =–log(0.0050) = 2.30

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Calculate the pH of a 0.0050 M sulfuric acid?

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HSO4–(aq) + H2O(l) H3O+(aq) + SO4

2–(aq)Initial 0.0050 - 0.0050 0Change – x -x + x + xEquilibrium 0.0050 –x - 0.0050 + x x

Solve for [H3O+] using quadratic equation

[H3O+] = 0.0050 + x = 0.0050 + 0.0029 = 0.0079 M

Solve for pHpH = – log[H3O+] = –log(0.0079) = 2.10

0.0029M x]0050.0[

]][0050.0[][

]O][[1014

-2432 =

−+

=== −

+−

xxx

HSOSOHxKa

What is the pH of 0.037M phosphoric acid?H3PO4 has 3 ionizable hydrogen atoms

H3PO4 + H2O3H3O+ + 1PO43-

H3PO4: weak acideach ionization reaction is a separate problemuse the results of previous steps

Possible pH values All three H+ donated, = –log(3×0.037) = 0.961 H ionized = –log(0.037) = 1.43

H2PO4- and HPO4

2- have very small Ka valuespH primarily due to first ionizationLowest pH: –log(0.037)= 1.43 not 0.96

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Ionizable Hydrogens and Ka: Set up ICE table for each step

H3PO4(aq) + H2O(l) H3O+(aq) + H2PO4–(aq)

H3PO4=0.037M-0.013M=0.024MX=H3O+ = H2PO4

–= 0.013MNeed quadratic!

H2PO4-(aq) + H2O(l) H3O+(aq) + HPO4

2-(aq)H3O+ = H2PO4

–= 0.013MX= HPO4

2-= 6.3x10-8MUsed approximation

HPO42-(aq)+ H2O(l) H3O+(aq) + PO4

3–(aq)H3O+ = 0.013MHPO4

2-= 6.3x10-8MPO4

3–= 1.8x10-18M39

107.1]POH[

]POH][[ 3–

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423 ×==−+OHKa

103.6]POH[

]HPO][[ 8–-

2

23

4

4 ×==−+OH

Ka

102.4]HPO[

]PO][[ 13–-2

-33

4

4 ×==+OH

Ka

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H3PO4(aq) + H2O(l) H3O+(aq) + H2PO4–(aq)

Initial 0.037 - 0 0Change – x - + x + xEquilibrium 0.037 – x - + x xApproximate H3PO4? [x]/[HA] = 0.016/.037 so no approximation

Plug equilibrium concentrations into Ka equation

x = 0.013

Plug x back into table to get equilibrium concentrations[H3PO4] = 0.037 - x = 0.037- 0.013 = 0.024M[H3O+] = x = 0.013M use for second ionization[H2PO4

–] = x = 0.013M use for second ionization

]037.0[]][[

]POH[]POH][[ 107.1

43

4233–

xxxOHKa −

==×=−+

What is the pH of a 0.037 M solution of phosphoric acid at 25˚C?

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H2PO4-(aq) + H2O(l) H3O+(aq) + HPO4

2-(aq)Initial 0.013 - 0.013 0Change – x - + x +xEquilibrium 0.013 – x - 0.013 +x x

What is the pH of a 0.037 M solution of phosphoric acid at 25˚C?

Plug equilibrium concentrations into Ka equation (approximate)Solve for X with quadratic

x = 6.3x10-8

Plug x back into table to get equilibrium concentrations

[H2PO4–] = 0.013 - 6.3x10-8 = 0.013M

[H3O+] = 0.013 + 6.3x10-8 = 0.013M No change in pH!!![HPO4

2–] = x = 6.3x10-8 use for next ionization

]013.0[]][013.0[

]POH[]HPO][[

103.6 -2

238–

4

4 xOHKa ==×=

−+

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HPO42-(aq) + H2O(l) H3O+(aq) + PO4

3–(aq)Initial 6.3x10-8 0.013 0Change – x - + x + xEquilibrium 6.3x10-8 – x - 0.013 + x x

[H3O+] 3rd ionizationKa3 =4.2×10–13< Ka2= 6.3x10-8

If second ionization didn’t change pH, neither will 3rd

Use [H3O+] from last ionization to calculate pH

Calculate pHpH due only to first ionizationpH = –log(1.3×10–2) = 1.89Original estimate was 1.43

What is the pH of a 0.037 M solution of phosphoric acid at 25˚C?

Weak Bases and Kb

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Weak BasesBrønsted–Lowry reaction for a weak base:

B(aq) + H2O(l) HB+(aq) + OH–(aq)

Equilibrium constant :

Kb is the base ionization constant. Kb defines amount of dissociation

On a log scale: pKb = –log KbStrong bases: High[OH-], low [H3O+]Large Kb & small pKb

pKa + pKb = 14

3 CategoriesMetal hydroxides, Most anions, & Organic amines

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bc KHHB

K ==−+

]B[]O][[

Metal HydroxidesStrong bases; Group 1A

ex: NaOH, KOHWeak bases: Anything else withOH-

ex: Ca(OH)2 Ca2+

Fe(OH)3 Fe3+

Dissociation affected by solubilitySparingly soluble saltsWill act as weak bases (Kb)

Use equilibrium chemistry (Ksp)Solubility Product Constant (next chapter.)

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AnionsAct as H+ acceptors in water

The negative charge attracts H+

CO32-, CH3COO-, etc.

Exceptions:Anions of strong acids:

100% dissociation, no equilibrium established

Cl–, Br–, I–, ClO4–, NO3

–, HSO4–

Anions with ionizable hydrogen ionAmphiproticH2PO4

–, etc.

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Organic AminesGeneral structure of R3N:

R contains H,C,O, (main group atoms) Lone pair on nitrogen accepts H+

R3N:(aq) + H2O(l) R3N–H+(aq) + OH–(aq)

Conjugate acid: Ammonium ion, NH4+

Common amines:

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N

CH3

CH3

H3C

trimethylamine

H2N

aniline

Common Weak Bases

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Calculations Using Kb

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Relationship between Ka & Kb

Base & waterNH3 + H2O NH4

+ + OH– Kb = 1.8X10-5 pKb = 4.74

Conjugate acid & water:NH4

+ + H2O H3O+ + NH3 Ka= 5.6X10-10 pKa = 9.26Add two reactions together: multiply K valuesMultiple equilibria (Ch. 15)

2H2O H3O+ + OH– Kw =Ka x Kb = 1.00x10-14

pKa + pKb = 14.00 (at 25°C) so pKw = 9.26 + 4.74 = 14.00

Only true for conjugate acid/base pairs in water!

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Reaction: NH3(aq) + H2O(l) NH4+(aq) + OH–(aq)

Initial 0.10 - 0 0Change – x - + x + xEquilibrium 0.10 – x - x x

Find the pH of a 0.10 M solution of ammonia at 25oC.

Fill in Kb expression

Approximate [NH3]

Solve for pH

Mx.][OHxxxNH

HNHxK -

b3

3

45 1031 ]10.0[]][[

][]O][[

108.1 −−+

− =====

11.1189.200.141489.2]103.1log[]log[ 3

=−=−==−=−= −−

pOHpHxOHpOH

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Calculate % Ionization

[OH-] = 1.3 x 10-3 from previous problem

%3.1%10010.0103.1%100

][][O

%3

3

===−−

xxxNH

HIonization

Find the percent ionization of a 0.10 M solution of ammonia at 25oC.

Molecular Structure and Strength of Acids

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Measuring Acid Strength

Strongest Acid: Weakest bond to acidic H3 Criteria in order of importance

Charge: High negative charge on anion: weaker acidLeaves stronger bond to any remaining

hydrogensStructure:

Larger anions will create longer, weaker H-X bondsPresence of oxoatoms increase electronegativity

Electronegativity: High electronegativity of anion: stronger acid Withdraws electrons from acidic H stronger acid

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Effect of ChargeH3AsO4 H2AsO4

– HAsO42–

Charge: HAsO42– has highest negative

chargeHigher charge: weaker acidHarder to pull H away, stronger bond

Acidity based on charge differenceH3AsO4 > H2AsO4

– > HAsO42–

Structure: No differencesElectronegativity: No differences

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Effect of Structure: Bond Length vs. Electronegativity for Binary acidsDirect bond between H and electronegative atom

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Two competing forcesLarge Atomic radius

Long bonds are weaker

High Electronegativity High electronegativity pulls electrons to more electronegative atom; weakens bond

Experimentally measured acid strengthHI>HBr>HCl>>HF

Bond length is dominating force

Oxoacids

More double bonded oxygens: Stronger acidH2SO4 H2SO3

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Two terminal oxo atomsMore resonance stabilizes ionMore e- withdrawal from O-H

H is more positive: more acidic

One terminal oxo atomFewer resonance structuresLess e- withdrawal from O-H H is less positive: less acidic

Effect of ElectronegativityCharge:

No differenceBoth neutral

Structure: No difference in terminal oxo atoms1 oxo atom each

Electronegativity: S more electronegative than P

H2SO3 more acidic than H3PO4

S more electronegative than SeH2SO4 more acidic than H2SeO4

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Acid Strength

59

Bond lengthvs

Electronegativity

Charge Difference

Structure:Terminal O

Electronegativity

Acid-Base Properties of Salts

Hydrolysis

60

Hydrolysis of Ionic Salts

Ionic salts dissolved in water affect pHNaNO3 (s) + H2O(aq) Na+(aq) + NO3

- (aq)

Undergo HydrolysisHydrolysis: Reaction of an ionic salt with waterMay change the pH of the solution

Both cations and anions may undergo hydrolysis Not all ions hydrolyzeExamine both ions to determine acid/base character

3 step process to predict acidity of a salt solution1. Write the reaction that dissociates salt into its ions2. Check the cation for acid hydrolysis: produce H+

3. Check the anion for base hydrolysis: produce OH-

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Is NaCl (aq) Acidic, Basic or Neutral

1. Dissociate the salt into ions:NaCl(aq) Na+(aq) + Cl–(aq)

2. Check the cation for hydrolysis:Na+(aq) + H2O(l) NaOH(aq) + H+(aq) No Hydrolysis: NaOH strong base, not acidic

3. Check the anion for hydrolysis:Cl–(aq) + H2O(l) HCl (aq) + OH-(aq)

No Hydrolysis: HCl is a strong acid, not basicIf neither acidic or basic, solution is neutral

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Is Na2CO3 Acidic, Basic or Neutral1. Dissociate the salt into ions:

Na2CO3 (aq) 2Na+ (aq) + CO32- (aq)

2. Check the cation for hydrolysis:Na+(aq) + H2O(l) NaOH(aq) + H+(aq) No Hydrolysis: NaOH would be a strong baseNo H+ generated: Solution is not acidic

3. Check the anion for hydrolysis:CO3

2-(aq) + H2O(l) HCO3- (aq) + OH- (aq)

Anion hydrolyzes: HCO3- (aq) weak acid

Some OH- is generated: Solution may be basicIf not acidic but possibly basic, solution is basic 63

Is Fe(NO3)2 Acidic, Basic or Neutral?1. Dissociate the salt into ions:

Fe(NO3)2(aq) Fe2+(aq) + 2NO3–(aq)

2. Check the cation for hydrolysis:Fe2+(aq) + H2O(l) FeOH+(aq) + H+(aq) Reaction occurs: FeOH+ is a weak baseH+ generated: Acidic solution

3. Check the anion for hydrolysis:NO3

–(aq) + H2O(l) HNO3 (aq) + OH-(aq)No OH- generated: Nitric is a strong acid, not

basicOverall: the solution is acidic

64

Is ZnF2 Acidic, Basic or Neutral

1. Dissociate the salt into ions:ZnF2(aq) Zn2+(aq) + 2F–(aq)

2. Check the cation for hydrolysis:Zn2+(aq) + H2O(l) ZnOH+(aq) + H+(aq) Reaction Occurs: ZnOH+(aq) is a weak

baseH3O+generated: Acidic Solution

3. Check the anion for hydrolysis:F–(aq) + H2O(l) HF (aq) + OH-(aq)Reaction Occurs: HF is a weak acidOH- is generated: Basic Solution

Can’t tell acidity : Both cation and anion hydrolyze

Both H3O+(aq) and OH-(aq) possible65

Is ZnF2 Acidic, Basic or Neutral1. Dissociate the salt into ions:

ZnF2(aq) Zn2+(aq) + 2F–(aq)2. Cation Hydrolysis: Ka based

Zn2+(aq) + H2O(l) ZnOH+(aq) + H+(aq)

3. Anion Hydrolysis: Kb basedF–(aq) + H2O(l) HF (aq) + OH-(aq)

Can’t tell acidity : Both cation and anion hydrolyzeBoth H+(aq) and OH-(aq) possibleHigher K value determines acidity

66

Determine Acidity

Look up Kas for both acidsKa(Zn2+) = 2.5×10–10 for acid reaction

Ka(HF) = 6.6×10–4 for base reactionCalculate Kb for the anion reaction

Kb (F–) = Kw/Ka = 1.0×10–14/6.6×10–4 = 1.5×10–11

Larger equilibrium constant winsKa(Zn2+)> Kb (F–)

2.5×10–10 > 1.5×10–11

H+ created > OH- created

Cation hydrolysis dominates : Solution is acidic.

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68

HCOO-(aq) + H2O(l) HCOOH(aq) + OH-(aq)Initial 0.050 - 0 0Change – x - + x + xEquilibrium 0.050 – x - x x

First determine if acidic, basic or neutralAnion hydrolysis: CHOOH is a weak acid, so basicNeed to use Kb

Initial Data[HCOO-] = 0.050 from problem[HCOOH] and [OH-]= 0

Look up Ka in table and calculate Kb

11106.5108.1100.1

][][

4

14−===

xxx

KKK

a

wb

Find the pH of a solution with 0.050 M CHOONa.

Solve for x

x =[OH-]= 1.7x10-6

Calculate pHpOH = -log[1.7x10-6 ] = 5.77

pH = 14-pOH = 8.23 69

HCOO-(aq) + H2O(l) HCOOH(aq) + OH-(aq)Initial 0.050 - 0 0Change – x - + x + xEquilibrium 0.050 – x - x x

]05.0[]][[

][]][[106.5 11

xxHCOO

HCOOHOHx == −

−−

Find the pH of a solution with 0.050 M CHOONa.

Hydrolysis of Anions from Polyprotic AcidsNaHCO3, NaH2PO4, NaHSO4

Both acid and base hydrolysis occur

Cation Hydrolysis: Ka = 4.8x10-11

HCO3- (aq) + 2H2O(l) CO3

2- (aq) + H3O+(aq)

Anion Hydrolysis: Kb = 2.4x10-8

HCO3- (aq) + H2O(l) H2CO3(aq) + OH–(aq)

Kb= Kw/Ka = 1x10-14/4.2x10-7 = 2.4x10-8

Compare equilibrium constants Larger K determines equilibrium reaction

solution is basic70

Hydrolysis of Complexed Metal IonsMetal Ions form complexes with water (hydrated)

Pull electrons towards metal ionPolarize O-H bond in attached watersH+ ions dissociate from oxygen

Cation hydrolysis onlyAl(H2O)6

3+(aq) + H2O(l) Al(OH)(H2O)52+(aq) + H3O+(aq)

Ka = 1.3x10-5

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AlH

H

O

Lewis Acids and Bases

BF3 (g)+ NH3(g) F3B-NH3(g)

Lewis Acid: Accepts a pair of electronsBF3No ionizable HNot bronsted acid

Lewis Base: Donates a pair of electrons:NH3No H to acceptNot bronsted base

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F B F

F

H N H

H