Exam 3A, Spring 2005

1. Complete and balance the following reactions:

a. H3PO4(aq) + Ba(OH)2(s)

b. CH3CH2NH2(aq) + H2O(l)

c. Ag+(aq) + EDTA4–(aq)

d. Mn(NO3)2(aq) + Na2S(aq)

e. Hydrogen phosphate ion plus chlorite ion

f. Ti2+(aq) + H2O(l)

g. Cu(CH3CO2)(aq) + HCl(aq)

Answer

a. 2 H3PO4(aq) + 3 Ba(OH)2(s) → Ba3(PO4)2(s) + 6 H2O(l)

b. CH3CH2NH2(aq) + H2O(l) CH3CH2NH3+(aq) + OH(aq)

c. Ag+(aq) + EDTA4–(aq) [Ag(EDTA)]3–(aq)

d. Mn(NO3)2(aq) + Na2S(aq) → MnS(s) + 2 Na+(aq) + 2 NO3(aq)

e. HPO42–(aq) + ClO2(aq) PO43–(aq) + HClO2(aq) (Kc = 4.2×10–13/1.1×10–2 = 3.8×10–11 < 100)

f. Ti2+(aq) + 2 H2O(l) TiOH+(aq) + H3O+(aq)

g. Cu(CH3CO2)(aq) + HCl(aq) → CuCl(s) + CH3CO2H(aq)

2. Identify if the following ionic salts are acidic or basic in aqueous solution. Show the reaction that defines the acidity or basicity.

a. NaHSO4

b. Fe(NO3)2

c. Mg(IO3)2

Answer

a. NaHSO4(aq) → Na+(aq) + HSO4(aq)

Na+(aq) + 2 H2O(l) → NR

HSO4(aq) + H2O(l) H3O+(aq) + SO42–(aq)

Acidic

b. Fe(NO3)2(aq) → Fe2+(aq) + 2 NO3(aq)

Fe2+(aq) + 2 H2O(l) FeOH+(aq) + H3O+(aq)

NO3(aq) + H2O(l) → NR

Acidic

c. Mg(IO3)2(s) Mg2+(aq) + 2 IO3(aq)

Mg2+(aq) + 2 H2O(l) → NR

IO3(aq) + H2O(l) HIO3(aq) + OH(aq)

Basic

3. A buffer is prepared to be 0.10 M in H2S and 0.10 M in NaHS.

a. Calculate the pH of the solution, showing all of your work.

b. 1 mL of HCl(g) is added to 1 L of the buffer. Calculate the new pH.

Answer

a. Calculate the pH of the solution, showing all of your work.

NaHS(aq) Na+(aq)+ HS(aq)

H2S(aq) +H2O(l) H3O+(aq) +HS(aq)

Ka = [H3O+]e[HS]e /[H2S]e = 1.0×10–7

 

 

Initial0.1000.10

Change–x+x+x

Equilibrium0.10 – xx 0.10 + x

Approximate? 0.10/1.0×10–7 = 1×106 > 100 Yes

1.0×10–7 = x(0.10)/(0.10)

x = [H3O+]e = 1.0×10–7

pH = –log([H3O+]) = –log(1.0×10–7) = 7.00

b. 1 mL of HCl(g) is added to 1 L of the buffer. Calculate the new pH.

Assume 25 °C = 298 K and the Ideal Gas Law to find the molarity of HCl: (1 atm)(0.001 L) = n(0.0821 L·atm mol–1K–1)(298 K)

n = (1)(0.001)/(0.0821)(298) = 4×10–5 mol = 4×10–5 M

NaHS(aq) Na+(aq)+ HS(aq)

H2S(aq) +H2O(l) H3O+(aq) +HS(aq)

A/BH2S(aq) +Cl(aq) HCl(aq) +HS(aq)

Ka = [H3O+]e[HS]e /[H2S]e = 1.0×10–7

 

 

Initial0.1000.10

A/B+ 4×10–50 – 4×10–5

Change–x+x+x

Equilibrium0.10 – xx 0.10 + x

Approximate? 0.10/1.0×10–7 = 1×106 > 100 Yes

1.0×10–7 = x(0.10)/(0.10)

x = [H3O+]e = 1.0×10–7

pH = –log([H3O+]) = –log(1.0×10–7) = 7.00

4. Will the solubility in water increase, decrease, or stay the same for the following salts if they are added to a pH = 14 solution? Briefly explain your answer.

a. CaC2O4

b. Cr(OH)3

Answer

a. CaC2O4

CaC2O4(s) + 2 OH(aq) → Ca(OH)2(s) + C2O42–(aq)

Solubility decreases because of precipitation of calcium hydroxide.

b. Cr(OH)3

Cr(OH)3(s) + OH(aq) [Cr(OH)4](aq

Solubility increases because of the complex ion formation.

5. Determine the solubility of lead(II) bromide in a buffer with pH = 11.0.

Answer

PbBr2(s) Pb2+(aq) +2 Br(aq)

Pb2+(aq) +3 OH(aq) [Pb(OH)3](aq)

NetPbBr2(s) +3 OH(aq) [Pb(OH)3](aq) +2 Br(aq)

Kc = [Pb(OH)3)]e[Br]e2/ [OH]e3 = Ksp×Kf = 4.0×10–5×2.8×1014 = 1.5×1010



Initial1×10–30 0

Change– 0+x+2x

Equilibrium1×10–3x 2x

1.5×1010 = (x)(2x)2/(1×10–3)3 = 4×109x3

x = molar solubility = 2 M

6. Calculate ΔH° and ΔS° for the reaction of solid silver nitrate with aqueous hydrochloric acid.

Answer

AgNO3(s) + HCl(aq) + H2O(l) → AgCl(s) + H3O+(aq) + NO3(aq)

ΔH° = [–127.1 + –285.8 + –205.0] – [–124.4 + –167.2 + –285.8] = +531.1 kJ/mol

ΔS° = [96.2 + 69.9 + 146.4] – [140.9 + 56.5 + 69.9] = +45.2 J/mol·K

Answers