acids and bases © 2009, prentice-hall, inc. chapter 16 acids and bases q: do you guys have equation...

103
Acids and Bases © 2009, Prentice- Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John D. Bookstaver St. Charles Community College Cottleville, MO Chemistry, The Central Science, 11th edition Theodore L. Brown, H. Eugene LeMay, Jr., and Bruce E. Bursten

Upload: angelica-murphy

Post on 28-Dec-2015

234 views

Category:

Documents


1 download

TRANSCRIPT

Page 1: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Chapter 16Acids and Bases

Q: Do you guys have equation solving calculators? Use for

quadratic formula?

John D. Bookstaver

St. Charles Community College

Cottleville, MO

Chemistry, The Central Science, 11th editionTheodore L. Brown, H. Eugene LeMay, Jr.,

and Bruce E. Bursten

Page 2: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Some Definitions

• Arrhenius– An acid is a substance that, when

dissolved in water, increases the concentration of hydrogen ions (H+).

– A base is a substance that, when dissolved in water, increases the concentration of hydroxide ions (OH-).

Ex: HCl, HC2H3O2

NaOH, NH3

NH3 + H2O NH4+ + OH-

HCl + H2O H3O+ + Cl-

Page 3: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Some Definitions

• Brønsted-Lowry– An acid is a proton (H+) donor.– A base is a proton (H+) acceptor.

Page 4: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

A Brønsted-Lowry acid…

…must have a removable (acidic) proton.

A Brønsted-Lowry base…

…must have a pair of nonbonding electrons.

…where the H+, with no electrons for bonding, can attach itself.

Page 5: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

If it can be either……it is amphiprotic.

(or ≈amphoteric)

HCO3-

HSO4-

H2O

Page 6: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

If it can be either……it is amphiprotic.

(or ≈amphoteric)

HCO3-

HSO4-

H2O

+ H+ H2CO3 CO32- - H+

Page 7: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

What Happens When an Acid Dissolves in Water?

• Water acts as a Brønsted-Lowry base and abstracts a proton (H+) from the acid.

• As a result, the conjugate base of the acid and a hydronium ion are formed.

Page 8: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Conjugate Acids and Bases• The term conjugate comes from the Latin word

“conjugare,” meaning “to join together.”

• Reactions between acids and bases always yield their conjugate bases and acids.

• A conjugate base has one less H+ than its conjugate acid.

Page 9: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

Sample Exercise 16.1 Identifying Conjugate Acids and Bases

(a) What is the conjugate base of each of the following acids: HClO4, H2S, PH4

+, HCO3–? (b) What is the

conjugate acid of each of the following bases: CN–, SO42–,

H2O, HCO3– ?

Solution

Plan: The conjugate base of a substance is simply the parent substance minus one proton, and the conjugate acid of a substance is the parent substance plus one proton.

Solve: (a) HClO4 less one proton (H+) is ClO4–.

The other conjugate bases are HS–, PH3, and CO32–.

(b) CN– plus one proton (H+) is HCN. The other conjugate acids are HSO4

–, H3O+, and H2CO3. Notice that the hydrogen carbonate ion

(HCO3–) is amphiprotic. It can act as either an

acid or a base.

Page 10: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

• Write the formula for the conjugate acid of each of the following: HSO3

–, F– , PO43–, CO.

• Answers: H2SO3, HF, HPO42–, HCO+

© 2009, Prentice-Hall, Inc.

Practice Exercise

Page 11: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Acid and Base Strength

• Strong acids are completely dissociated in water.– Their conjugate

bases are quite weak.

• Weak acids only dissociate partially in water.– Their conjugate

bases are weak bases.

Page 12: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Acid and Base Strength

• Substances with negligible acidity do not dissociate in water.

• Their conjugate bases are exceedingly strong.

Page 13: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Acid and Base Strength• In any acid-base reaction, the equilibrium will

favor the reaction that moves the proton to the stronger base.

• *** (use table 16.4 from p672 or prior slide!)

HCl (aq) + H2O (l) H3O+ (aq) + Cl- (aq)

• H2O is a much stronger base than Cl-, so H2O will get the proton, so equilibrium lies so far to the right that K is not measured (K>>1).

base base

Page 14: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Acid and Base Strength• In any acid-base reaction, the equilibrium will

favor the reaction that moves the proton to the stronger base.

• Acetate is a stronger base than H2O, so acetate will get the proton, and the equilibrium favors the left side (K<1).

(confirm that this is true!)

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

base base

Page 15: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Autoionization of Water

• As we have seen, water is amphoteric.

• In pure water, a few molecules act as bases and a few act as acids.

• This is referred to as autoionization.

H2O (l) + H2O (l) H3O+ (aq) + OH- (aq)

Page 16: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Ion-Product Constant• The equilibrium expression for this process is

Kc = [H3O+] [OH-](ignore the H2O reactants b/c they are liquid)

• This special equilibrium constant is referred to as the ion-product constant for water, Kw.

• At 25C, Kw = 1.0 10-14

Page 17: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

pH

pH is defined as the negative base-10 logarithm of the concentration of hydronium ion.

pH = -log [H3O+]

Page 18: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

pH• In pure water,

Kw = [H3O+] [OH-] = 1.0 10-14

• Since in pure water [H3O+] = [OH-],

[H3O+] = 1.0 10-14 = 1.0 10-7

Page 19: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

pH• Therefore, in pure water,

pH = -log (1.0 10-7) = 7.00

• An acid has a higher [H3O+] than pure water, so its pH is <7.

• A base has a lower [H3O+] than pure water, so its pH is >7.

Page 20: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

Practice Exercise : (p 675)

• Indicate whether solutions with each of the following ion concentrations are neutral, acidic, or basic:

(a) [H+] = 4 x 10-9 M

(b) [OH-] = 1 x 10 -7 M

(c) [OH-] = 7 x 10-13 M

© 2009, Prentice-Hall, Inc.

Page 21: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

Sample 16.5: Calculating [H+] from [OH-] (p 675)

© 2009, Prentice-Hall, Inc.

Calculate the concentration of H+(aq) in (a)a solution in which [OH–] is 0.010 M, (b) a solution in which [OH–] is 1.8 ×10–9 M .

Note: In this problem and all that follow, we assume, unless stated otherwise, that the temperature is 25 ºC.

Analyze: We are asked to calculate the hydronium ion concentration in an aqueous solution where the hydroxide concentration is known.

Plan: We can use the equilibrium-constant expression for the autoionization of water and the value of Kw to solve for each unknown concentration.

Page 22: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

Sample 16.5: Solution, cont.

© 2009, Prentice-Hall, Inc.

Solve:a) Using Equation 16.16, we have:

This solution is basic because

(b) In this instance

This solution is acidic because

Page 23: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

pH(p676)

These are the pH values for several common substances.

Page 24: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

Sample Ex 16.6 Calculating pH from [H+] (p 677)• Calculate the pH values for the two solutions described in Sample Ex 16.5.

Analyze: We are asked to determine the pH of aqueous solutions for which we have already calculated [H+].Plan: We can calculate pH using its defining equation, 16.17.Solve:(a) In the first instance we found [H+]. to be 1.0 ×10–12 M.

Because 1.0 ×10–12 has two significant figures, the pH has two decimal places, 12.00. (b) For the second solution, [H+] = 5.6 × 10–6 M. Before performing the calculation, it is helpful to estimate the pH. To do so, we note that [H+] lies between 1 × 10–6 and 1 × 10–5 Thus, we expect the pH to lie between 6.0 and 5.0. We use Equation 16.17 to calculate the pH.

Page 25: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

Check your work

• Check: After calculating a pH, it is useful to compare it to your prior estimate. In this case the pH, as we predicted, falls between 6 and 5. Had the calculated pH and the estimate not agreed, we should have reconsidered our calculation or estimate or both.

© 2009, Prentice-Hall, Inc.

Page 26: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Sample Exercise 16.7 Calculating [H+] from pHA sample of freshly pressed apple juice has a pH of 3.76. Calculate [H+].

Analyze: We need to calculate [H+] from pH.Plan: We will use Equation 16.17, pH = –log[H+], for the calculation.

Solve: From Equation 16.17, we have

Thus,

To find [H+] , we need to determine the antilog of –3.76. Scientific calculators have an antilog function (sometimes labeled INV log or 10x) that allows us to perform the calculation:

Page 27: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Other “p” Scales• The “p” in pH tells us to take the negative base-

10 logarithm of the quantity (in this case, hydronium ions).

• Some similar examples are–pOH: -log [OH-]

–pKw: -log Kw

Page 28: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Watch This!

Because

[H3O+] [OH-] = Kw = 1.0 10-14,

we know that

-log [H3O+] + -log [OH-] = -log Kw = 14.00

or, in other words,

pH + pOH = pKw = 14.00

Page 29: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

How Do We Measure pH?(p679)• For less accurate

measurements, one can use– Litmus paper

• “Red” paper turns blue above ~pH = 8

• “Blue” paper turns red below ~pH = 5

– Or an indicator.

Page 30: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

How Do We Measure pH?

For more accurate measurements, one uses a pH meter, which measures the voltage in the solution.

Page 31: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Strong Acids• You will recall that the seven strong acids are

HCl, HBr, HI, HNO3, H2SO4, HClO3, and HClO4.

• These are, by definition, strong electrolytes and exist totally as ions in aqueous solution.

• For monoprotic strong acids,

[H3O+] = [acid].

Page 32: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Sample Exercise 16.8 Calculating the pH of a Strong Acid

What is the pH of a 0.040 M solution of HClO4?

Analyze and Plan: Because HClO4 is a strong acid, it is completely ionized, giving [H+] = [ClO4

-] = 0.040 MSolve: The pH of the solution is given by

pH = –log(0.040) = 1.40. Check: Because [H+] lies between 1 × 10–2 and 1 × 10–1, the pH will be between 2.0 and 1.0. Our calculated pH falls within the estimated range. Furthermore, because the concentration has two significant figures, the pH has two decimal places.

Page 33: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Strong Bases• Strong bases are the soluble

hydroxides, which are the alkali metal and heavier alkaline earth metal hydroxides (Ca2+, Sr2+, and Ba2+).

• Again, these substances dissociate completely in aqueous solution.

Page 34: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Sample Exercise 16.9 Calculating the pH of a Strong Base

What is the pH of (a) a 0.028 M solution of NaOH, (b) a 0.0011 M solution of Ca(OH)2?

Analyze: We are asked to calculate the pH of two solutions of strong bases.Plan: We can calculate each pH by either of two equivalent methods. First, we could use Equation 16.16 to calculate [H+] and then use Equation 16.17 to calculate the pH. Alternatively, we could use [OH–] to calculate pOH and then use Equation 16.20 to calculate the pH.

(b) Ca(OH)2 is a strong base that dissociates in water to give two OH– ions per formula unit. Thus, the concentration of OH–(aq) for the solution in part (b) is 2 × (0.0011 M) = 0.0022 M

Page 35: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Sample Exercise 16.9 Calculating the pH of a Strong Base

Solve:(a) NaOH dissociates in water to give one OH– ion per formula unit. Therefore, the OH– concentration for the solution in (a) equals the stated concentration of NaOH, namely 0.028 M.

Page 36: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

(b) Ca(OH)2 is a strong base that dissociates in water to give two OH– ions per formula unit. Thus, the concentration of OH–(aq) for the solution in part (b) is 2 × (0.0011 M) = 0.0022 M

Sample Exercise 16.9 Calculating the pH of a Strong Base

Page 37: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Dissociation Constants• For a generalized acid dissociation,

the equilibrium expression would be

• This equilibrium constant is called the acid-dissociation constant, Ka.

[H3O+] [A-][HA]

Kc =

HA (aq) + H2O (l) A- (aq) + H3O+ (aq)

= Ka

Page 38: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Dissociation Constants (p682)The greater the value of Ka, the stronger is the acid.

Page 39: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating Ka from the pH

The pH of a 0.10 M solution of formic acid, HCOOH, at 25C is 2.38.

Calculate Ka for formic acid at this temperature.

We know that [H3O+] [COO-][HCOOH]

Ka=

Page 40: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating Ka from the pHSOLUTION: The pH of a 0.10 M solution of formic acid, HCOOH, at 25C is 2.38. Calculate Ka for formic acid at this temperature.

To calculate Ka, we need the equilibrium concentrations of all three things.

We can find [H3O+], which is the same as [HCOO-], from the pH.

Page 41: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating Ka from the pH

pH = -log [H3O+]

2.38 = -log [H3O+]

-2.38 = log [H3O+]

10-2.38 = 10log [H3O+] = [H3O+]

4.2 10-3 = [H3O+] = [HCOO-]

Page 42: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating Ka from pH

Now we can set up an ICE table…

[HCOOH], M [H3O+], M [HCOO-], M

Initially 0.10 0 0

Change - 4.2 10-3 + 4.2 10-3 + 4.2 10-3

At Equilibrium 0.10 - 4.2 10-3

= 0.0958 = 0.10

4.2 10-3 4.2 10-3

Page 43: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating Ka from pH

[4.2 10-3] [4.2 10-3][0.10]

Ka =

= 1.8 10-4

Page 44: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating Percent Ionization

• Percent Ionization = 100

• In this example

[H3O+]eq = 4.2 10-3 M

[HCOOH]initial = 0.10 M

[H3O+]eq

[HA]initial

Percent Ionization = 1004.2 10-3

0.10= 4.2%

Page 45: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Sample Exercise 16.11 Calculating Percent Ionization

A 0.10 M solution of formic acid (HCOOH) contains 4.2 × 10–3 M H+(aq) . Calculate the percentage of the acid that is ionized.

Analyze: We are given the molar concentration of an aqueous solution of weak acid and the equilibrium concentration of H+(aq) and asked to determine the percent ionization of the acid.

Plan: The percent ionization is given by Equation 16.27.Solve:

Page 46: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating pH from Ka

Calculate the pH of a 0.30 M solution of acetic acid, HC2H3O2, at 25C.

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

Ka for acetic acid at 25C is 1.8 10-5.

Page 47: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating pH from Ka

The equilibrium constant expression is

[H3O+] [C2H3O2-]

[HC2H3O2]Ka =

Page 48: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating pH from Ka

We next set up a table…

[C2H3O2], M [H3O+], M [C2H3O2-], M

Initially 0.30 0 0

Change -x +x +x

At Equilibrium 0.30 - x 0.30 x x

We are assuming that x will be very small compared to 0.30 and can, therefore, be ignored.

Page 49: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating pH from Ka

Now,

(x)2

(0.30)1.8 10-5 =

(1.8 10-5) (0.30) = x2

5.4 10-6 = x2

2.3 10-3 = x

Page 50: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating pH from Ka

pH = -log [H3O+]pH = -log (2.3 10-3)pH = 2.64

Page 51: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Sample Exercise 16.12 Using Ka to Calculate pH

Calculate the pH of a 0.20 M solution of HCN. (Refer to Table 16.2 or Appendix D for the value of Ka.)

Analyze: We are given the molarity of a weak acid and are asked for the pH. From Table 16.2, Ka for HCN is 4.9 × 10–10.

Plan: We proceed as in the example just worked in the text, writing the chemical equation and constructing a table of initial and equilibrium concentrations in which the equilibrium concentration of H+ is our unknown.

Page 52: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

Solve: Writing both the chemical equation for the ionization reaction that forms H+(aq) and theequilibrium-constant (Ka) expression for the reaction:

Next, we tabulate the concentration of the species involved in the equilibrium reaction, letting x = [H+] at equilibrium:

Substituting the equilibrium concentrationsfrom the table into the equilibrium-constant expression yields

Sample Exercise 16.12 Using Ka to Calculate pH

Page 53: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Polyprotic Acids……have more than one acidic proton

If the difference between the Ka for the first dissociation and subsequent Ka values is 103 or more, the pH generally depends only on the first dissociation.

p689

Page 54: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Sample Exercise 16.13 Using Ka to Calculate % Ionization

Calculate the percentage of HF molecules ionized in (a) a 0.10 M HF solution, (b) a 0.010 M HF solution.

Analyze: We are asked to calculate the percent ionization of two HF solutions of different concentration. From Appendix D, we find Ka = 6.8 × 10-4.

Plan: We approach this problem as we would previous equilibrium problems. We begin by writing the chemical equation for the equilibrium and tabulating the known and unknown concentrations of all species. We then substitute the equilibrium concentrations into the equilibrium-constant expression and solve for the unknown concentration, that of H+.

Page 55: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Solve:(a) The equilibrium reaction and equilibrium concentrations are as follows:

The equilibrium-constant expression is

When we try solving this equation using the approximation 0.10 – x = 0.10 (that is, by neglecting the concentration of acid that ionizes in comparison with the initial concentration), we obtain

Page 56: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Sample Exercise 16.13 Using Ka to Calculate % IonizationBecause this value is greater than 5% of 0.10 M, we should work the problem without the approximation,using an equation-solving calculator or the quadratic formula. Rearranging our equation and writing it instandard quadratic form, we have

This equation can be solved using the standard quadratic formula.Substituting the appropriate numbers gives

Of the two solutions, only the one that gives a positive value for x is chemically reasonable. Thus,From our result, we can calculate the percent of molecules ionized:

(b) Proceeding similarly for the 0.010 M solution, we haveSolving the resultant quadratic expression,we obtainThe percentage of molecules ionized is

Page 57: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

This equation can be solved using the standard quadratic formula.Substituting the appropriate numbers gives

Of the two solutions, only the one that gives a positive value for x is chemically reasonable. Thus,From our result, we can calculate the percent of molecules ionized:

(b) Proceeding similarly for the 0.010 M solution, we haveSolving the resultant quadratic expression,we obtainThe percentage of molecules ionized is

Page 58: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Weak BasesBases react with water to produce hydroxide ion.

Page 59: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Weak Bases

The equilibrium constant expression for this reaction is

[HB] [OH-][B-]

Kb =

where Kb is the base-dissociation constant.

Page 60: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Weak Bases (p691)Kb can be used to find [OH-] and, through it, pH.

Page 61: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

pH of Basic Solutions

What is the pH of a 0.15 M solution of NH3?

[NH4+] [OH-]

[NH3]Kb = = 1.8 10-5

NH3 (aq) + H2O (l) NH4+ (aq) + OH- (aq)

Page 62: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

pH of Basic Solutions

Tabulate the data.

[NH3], M [NH4+], M [OH-], M

Initially 0.15 0 0

At Equilibrium 0.15 - x 0.15 x x

Page 63: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

pH of Basic Solutions

(1.8 10-5) (0.15) = x2

2.7 10-6 = x2

1.6 10-3 = x2

(x)2

(0.15)1.8 10-5 =

Page 64: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

pH of Basic Solutions

Therefore,

[OH-] = 1.6 10-3 M

pOH = -log (1.6 10-3)

pOH = 2.80

pH = 14.00 - 2.80

pH = 11.20

Page 65: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Ka and Kb (p 694)

Ka and Kb are related in this way:

Ka Kb = Kw

Therefore, if you know one of them, you can calculate the other.

Page 66: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Reactions of Anions with Water

• Anions are bases.

• As such, they can react with water in a hydrolysis reaction to form OH- and the conjugate acid:

X- (aq) + H2O (l) HX (aq) + OH- (aq)

Page 67: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Reactions of Cations with Water

• Cations with acidic protons (like NH4

+) will lower the pH of a solution.

• Most metal cations that are hydrated in solution also lower the pH of the solution.

Page 68: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Reactions of Cations with Water

• Attraction between nonbonding electrons on oxygen and the metal causes a shift of the electron density in water.

• This makes the O-H bond more polar and the water more acidic.

• Greater charge and smaller size make a cation more acidic.

Page 69: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Effect of Cations and Anions

1. An anion that is the conjugate base of a strong acid will not affect the pH.

2. An anion that is the conjugate base of a weak acid will increase the pH.

3. A cation that is the conjugate acid of a weak base will decrease the pH.

Page 70: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Effect of Cations and Anions

4. Cations of the strong Arrhenius bases will not affect the pH.

5. Other metal ions will cause a decrease in pH.

6. When a solution contains both the conjugate base of a weak acid and the conjugate acid of a weak base, the affect on pH depends on the Ka and Kb values.

Page 71: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Factors Affecting Acid Strength

• The more polar the H-X bond and/or the weaker the H-X bond, the more acidic the compound.

• So acidity increases from left to right across a row and from top to bottom down a group.

Page 72: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Factors Affecting Acid Strength

In oxyacids, in which an -OH is bonded to another atom, Y, the more electronegative Y is, the more acidic the acid.

Page 73: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Factors Affecting Acid Strength

For a series of oxyacids, acidity increases with the number of oxygens.

Page 74: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Factors Affecting Acid Strength

Resonance in the conjugate bases of carboxylic acids stabilizes the base and makes the conjugate acid more acidic.

Page 75: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Lewis Acids

• Lewis acids are defined as electron-pair acceptors.

• Atoms with an empty valence orbital can be Lewis acids.

Page 76: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Lewis Bases

• Lewis bases are defined as electron-pair donors.• Anything that could be a Brønsted-Lowry base is

a Lewis base.• Lewis bases can interact with things other than

protons, however.

Page 77: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Buffers

• Buffers are solutions of a weak conjugate acid-base pair.

• They are particularly resistant to pH changes, even when strong acid or base is added.

Page 78: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Buffers

If a small amount of hydroxide is added to an equimolar solution of HF in NaF, for example, the HF reacts with the OH− to make F− and water.

Page 79: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Buffers

Similarly, if acid is added, the F− reacts with it to form HF and water.

Page 80: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Buffer Calculations

Consider the equilibrium constant expression for the dissociation of a generic acid, HA:

[H3O+] [A−][HA]

Ka =

HA + H2O H3O+ + A−

Page 81: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Buffer Calculations

Rearranging slightly, this becomes

[A−][HA]

Ka = [H3O+]

Taking the negative log of both side, we get

[A−][HA]

−log Ka = −log [H3O+] + −log

pKa

pHacid

base

Page 82: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Buffer Calculations

• SopKa = pH − log

[base][acid]

• Rearranging, this becomes

pH = pKa + log[base][acid]

• This is the Henderson–Hasselbalch equation.

Page 83: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Henderson–Hasselbalch Equation

What is the pH of a buffer that is 0.12 M in lactic acid, CH3CH(OH)COOH, and 0.10 M in sodium lactate? Ka for lactic acid is 1.4 10−4.

Page 84: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Henderson–Hasselbalch Equation

pH = pKa + log[base][acid]

pH = −log (1.4 10−4) + log(0.10)(0.12)

pH

pH = 3.77

pH = 3.85 + (−0.08)

pH

Page 85: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

pH Range

• The pH range is the range of pH values over which a buffer system works effectively.

• It is best to choose an acid with a pKa close to the desired pH.

Page 86: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

When Strong Acids or Bases Are Added to a Buffer…

…it is safe to assume that all of the strong acid or base is consumed in the reaction.

Page 87: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Addition of Strong Acid or Base to a Buffer

1. Determine how the neutralization reaction affects the amounts of the weak acid and its conjugate base in solution.

2. Use the Henderson–Hasselbalch equation to determine the new pH of the solution.

Page 88: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating pH Changes in Buffers

A buffer is made by adding 0.300 mol HC2H3O2 and 0.300 mol NaC2H3O2 to enough water to make 1.00 L of solution. The pH of the buffer is 4.74. Calculate the pH of this solution after 0.020 mol of NaOH is added.

Page 89: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating pH Changes in Buffers

Before the reaction, since

mol HC2H3O2 = mol C2H3O2−

pH = pKa = −log (1.8 10−5) = 4.74

Page 90: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating pH Changes in Buffers

The 0.020 mol NaOH will react with 0.020 mol of the acetic acid:

HC2H3O2(aq) + OH−(aq) C2H3O2−(aq) + H2O(l)

HC2H3O2 C2H3O2− OH−

Before reaction 0.300 mol 0.300 mol 0.020 mol

After reaction 0.280 mol 0.320 mol 0.000 mol

Page 91: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Calculating pH Changes in Buffers

Now use the Henderson–Hasselbalch equation to calculate the new pH:

pH = 4.74 + log(0.320)(0.200)

pH = 4.74 + 0.06pH

pH = 4.80

Page 92: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration

In this technique a known concentration of base (or acid) is slowly added to a solution of acid (or base).

Page 93: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration

A pH meter or indicators are used to determine when the solution has reached the equivalence point, at which the stoichiometric amount of acid equals that of base.

Page 94: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration of a Strong Acid with a Strong Base

Just before (and after) the equivalence point, the pH increases rapidly.

Page 95: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration of a Strong Acid with a Strong Base

From the start of the titration to near the equivalence point, the pH goes up slowly.

Page 96: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration of a Strong Acid with a Strong Base

At the equivalence point, moles acid = moles base, and the solution contains only water and the salt from the cation of the base and the anion of the acid.

Page 97: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration of a Strong Acid with a Strong Base

As more base is added, the increase in pH again levels off.

Page 98: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration of a Weak Acid with a Strong Base

• Unlike in the previous case, the conjugate base of the acid affects the pH when it is formed.

• At the equivalence point the pH is >7.

• Phenolphthalein is commonly used as an indicator in these titrations.

Page 99: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration of a Weak Acid with a Strong Base

At each point below the equivalence point, the pH of the solution during titration is determined from the amounts of the acid and its conjugate base present at that particular time.

Page 100: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration of a Weak Acid with a Strong Base

With weaker acids, the initial pH is higher and pH changes near the equivalence point are more subtle.

Page 101: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titration of a Weak Base with a Strong Acid

• The pH at the equivalence point in these titrations is < 7.

• Methyl red is the indicator of choice.

Page 102: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

© 2009, Prentice-Hall, Inc.

Titrations of Polyprotic Acids

When one titrates a polyprotic acid with a base there is an equivalence point for each dissociation.

Page 103: Acids and Bases © 2009, Prentice-Hall, Inc. Chapter 16 Acids and Bases Q: Do you guys have equation solving calculators? Use for quadratic formula? John

AcidsandBases

Objectives Met? You should be able to:

© 2009, Prentice-Hall, Inc.