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Write an equilibrium reaction for aniline dissolved in water. The pH for a 0.10

ID: 839887 • Letter: W

Question

Write an equilibrium reaction for aniline dissolved in water.

The pH for a 0.10 M solution of aniline is 9.46. Determine Kb for aniline. (You first have to determine [OH-])

Determine the pH of a solution that is 0.43 M B and 0.20 M BH+

Determine the molar solubility of each of the following, under the specified conditions.

AgI, in distilled water. Ksp= 8.5 X 10-17

Ag2CrO4 in a solution containing 1X 10-3 M CrO4-2

Fe(OH)3 in distilled water

Fe(OH)3 in water buffered at pH = 8.5

Determine the solubility of AgCl(s) in a solution that is 2.00 M in NH3 and 0.050 M in Cl-.

Explanation / Answer

1)

   a) C6H5NH2 + H2O   <--------> C6H5NH3+ + OH-

   b)    Reaction: C6H5NH2 + H2O   <--------> C6H5NH3+ + OH-

          Initial             0.1                                      0              0

       Equilibrium      0.1-x                                        x    x

          Kb = x2 / 0.1-x

          we know, pH = 14 - pOH

          x = [OH-] = 10-(14-9.46) = 10-4.56 = 3.64x10-4

          Since, x << 0.1 , Kb = x2 / 0.1 = 1.325x10-8.

   c)    Reaction:       B + H2O   <--------> BH+ + OH-

          Initial             0.43                  0.2         0

       Equilibrium      0.43-x               0.2+x    x

         Kb = x(0.2+x) / 0.43-x = 1.325x10-8

         Since, x is very small , 0.2+x = 0.2 and 0.43-x =0.43

   => x(0.2) / 0.43 = 1.325x10-8

   => x = 2.848 x 10-8 = [OH-]

         Hence, pOH = 14 - pH = -log(2.848 x 10-8) = 7.54

         Therefore, pH = 14 - 7.54 = 6.46

2)

    a)                                AgI + H2O <--------> AgOH + HI

              Initial                  1                                 0         0

           equilibrium          1-x                                x         x

             Ksp = x2 / 1-x = 8.5 x 10-17

             x = 9.22 x 10-9 mol / L is the solubility.

     b)                      Ag2CrO4 + H2O -----------> 2AgOH + H2CrO4

        Initial                0.001                                     0           0             

        equilibrium     0.001-x 2x     x

   Ksp = 2x2 / 0.001-x

   8 x 10-12 = 2x2 / 0.001

=> x = 6.32 x 10-8 mol/L is the solubilty.

c)    In distilled water, [OH-] = 10-7

      For this, Ksp = [Fe3+][OH-]3 where [Fe3+] = x and [OH-] = 3x

                => 2 x 10-28 = x * 10-21

                => x = 2*10-7

d) pH = 8.5 => [H+] = 10-8.5 => [OH-] = 10-5.5 = 3.16 x 10-5

        For this, Ksp = [Fe3+][OH-]3 where [Fe3+] = x and [OH-] = 3.16 x 10-5

                => 2 x 10-28 = x * (3.15*10-15)

                => x = 6.35*10-14

3)   Adding both the equations,

        AgCl + 2NH3 <--------> Ag(NH3)2+ + Cl-

      Initial                  1          0.2                      0             0.05

      equilibrium         1    0.2-2x x    0.05+x

K = Ksp*Kf = 2.56*10-3 = x(0.05+x) / 0.2-2x

Solving the quadratic eqation, x2 + 0.05x = 0.000512 - 0.00512x

   => x2 + 0.05512x = 0.000512

   => x = 8.11*10-3 mol/L   

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