buffer problem.pdf

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1 Review Unit #13 Chapter #15 1. Devise a scheme to separate a mixture of Ag + , Ba 2+ and Zn 2+. To separate out the silver add hydrochloric acid until all the silver precipitates out as silver chloride Now you have a mixture of barium and zinc ions Add sulfuric acid to the mixture to precipitate out the barium as barium sulfate, leaving zinc ions alone in solution Ag + and Ba 2+ and Zn 2+ Add HCl AgCl Ba 2+ and Zn 2+ Add H 2 SO 4 BaSO 4 Zn 2+ in solution 2. A student is asked to prepare a buffer solution at pH = 8.60, using one of the following weak acids: HA (Ka = 2.7 x 10 –3 ), HB (Ka = 4.4 x 10 –6 ), HC (Ka = 2.6 x 10 –9 ). Which acid should she choose? Why? Acid HC. Acid HC has a pKa almost equal to the pH you are seeking. When the pH and pKa are almost equal then equal amounts of the acid and the conjugate base give you the right buffer.

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Page 1: Buffer Problem.pdf

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Review Unit #13

Chapter #15

1. Devise a scheme to separate a mixture of Ag+ , Ba 2+ and Zn 2+.

• To separate out the silver add hydrochloric acid until all the silver precipitates out as silver chloride

• Now you have a mixture of barium and zinc ions• Add sulfuric acid to the mixture to precipitate out the

barium as barium sulfate, leaving zinc ions alone in solution

Ag+ and Ba2+ and Zn2+

Add HCl

AgCl

Ba 2+ and Zn 2+

Add H2SO4

BaSO4 Zn2+ in solution

2. A student is asked to prepare a buffer solution at pH = 8.60, using one of the following weak

acids: HA (Ka = 2.7 x 10 – 3 ), HB (Ka = 4.4 x 10 – 6 ),

HC (Ka = 2.6 x 10 – 9 ). Which acid should she choose? Why?

• Acid HC. Acid HC has a pKa almost equal to the pH you are seeking.

• When the pH and pKa are almost equal then equal amounts of the acid and the conjugate base give you the right buffer.

Page 2: Buffer Problem.pdf

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3. A buffer is prepared by mixing 525 mL of 0.50 M formic acid, HCHO2, and 475 mL of 0.50 M sodium formate, NaCHO2. Ka =

1.8 x 10 – 4 .a. Calculate the pH of this buffer solution.

pKa = 3.74 pH = pKa + Log [CHO2-]

[HCHO2][HCHO2] = (.525 L)(0.50 M) = 0.263 M

(1.00 L)

[CHO2-] = (.475 L)(0.50 M)= 0.238 M

(1.00 L)

pH = 3.74 + Log (.238)/(.263) = 3.70

B. What is the pH of 85 mL of the buffer to which 8.5 mL of 0.15 M hydrochloric acid

has been added?CHO2

- + H3O+ HCHO2 + H2O[CHO2

-] = (.085 L)(0.238 M) = 0.0202 mol[HCHO2] = (.085 L)(0.263 M) = 0.0224 mol[H3O+] = (0.0085 L)(0.15M) = 0.00128 mol

[CHO2-] = (0.0202 - .00128) = 0.202 M

(0.0935 L)

[HCHO2] = (0.0224 + .00128) = 0.253 M

(0.0935 L)

pH = 3.74 + Log (.202)/(.253) = 3.64

4. A 1.24 gram sample of benzoic acid, HC7H5O2, is dissolved in water to give 50.0 mL of solution. Ka for benzoic acid is 6.5 x 10 – 5. This solution is titrated with 0.180 M sodium hydroxide, NaOH, solution. Calculate the pH of the resulting solution:

a. after 15.0 mL of NaOH has been added.1.24 g 1 mol = .0102 mol / 0.050 L = .203 M

122 g(0.050L)(.203 M) = .0102 mol Acid(0.0150L)(.180 M) = .00270 mol Base

XS acid = 0.00750 mol Acid / 0.065 L = 0.115 MConjugate Base = .00270 mol/.065 L = 0.0415 M

Ka =[H+][base]

[acid-base]

pH = 4.18 + log [.0415]/[.115] = 3.74pKa =4.18

Page 3: Buffer Problem.pdf

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4. A 1.24 gram sample of benzoic acid, HC7H5O2, is dissolved in water to give 50.0 mL of solution. Ka for benzoic acid is 6.5 x 10 – 5. This solution is titrated with 0.180 M sodium

hydroxide, NaOH, solution. Calculate the pH of the resulting solution:

b. at the halfway point of the titration.pH = pKapH = 4.18

4. A 1.24 gram sample of benzoic acid, HC7H5O2, is dissolved in water to give 50.0 mL of solution.

Ka for benzoic acid is 6.5 x 10 – 5. This solution is titrated with 0.180 M sodium hydroxide, NaOH,

solution. Calculate the pH of the resulting solution:

c. at the equivalence point.

Kb = Kw/Ka = 1.54 x 10-10

mL base = 50 mL A .203 Mol A 1 mol B 1L B1 L A 1 mol A .180 mol B

mL base = 56.4 mL[base] = (.0564 L)(.180 M) = 0.0954 M

(0.1064L)

Kb = x2/0.0954 M

X = [OH-] =

3.83 x 10-6 M

pH 8.58

A 1.24 gram sample of benzoic acid, HC7H5O2, is dissolved in water to give 50.0 mL of solution. Ka for benzoic acid is 6.5 x 10 – 5. This solution is titrated with 0.180 M sodium

hydroxide, NaOH, solution. Calculate the pH of the resulting solution:

d. After 60.00 mL of NaOH is added

Acid present = 0.0102 mol

Base preset = 0.0108 mol

XS [OH-] = 0.0006 mol/ .110 L = .00545 M

pOH = 2.26 pH = 11.74