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Write the chemical equations for the dissociation of each proton in phosphoric a

ID: 1039152 • Letter: W

Question

Write the chemical equations for the dissociation of each proton in phosphoric acid, H,POs Label all conjugate acid-base pairs and indicate which of the equations would have the smallest K, value. .Calculate (H 0'] and the pH of a 0.02M solution of Sr(OH)2 Calculate [H 0'] and the pH of a 0.80 M solution of H3PO. K, 6.9 x 103. Calculate [H3O'] and the pH of a 0.02M solution of fluoride ion, F. The K, of hydrofluoric acid, HF is 6.6 x 104. (Find Ko first then work out the problem like a weak base)

Explanation / Answer

a. H3PO4 ----------------> H^+ (aq) + H2PO4^- (aq)     Ka1

   H2PO4^- (aq) ----------> HPO4^2- (aq) + H^+ (aq)     Ka2

HPO4^2- (aq) -----------> H^+ (aq) + PO4^3- (aq)        Ka3 least acidic

Ka3 is smallest value

    Sr(OH)2(aq) --------------> Sr^2+ (aq) + 2OH^- (aq)

   0.02M                                              2*0.02M

     [OH^-]    = 2*[Sr(OH)2]

    [OH^-]    = 2*0.02M

     [OH^-]   = 0.04M

[H3O^+]     = Kw/[OH^-]

                 = 1*10^-14/0.04    = 2.5*10^-13M

PH   = -log[H3O^+]

         = -log2.5*10^-13

           = 12.6

       H3PO4(aq) -------------> H^+ (aq) + H2PO4^- (aq)

I          0.8                         0                 0

C        -x                           +x                +x

E       0.8-x                         +x               +x

            Ka1    = [H^+][H2PO4^-]/[H3PO4]

           6.9*10^-3    = x*x/0.8-x

           6.9*10^-3 *(0.8-x)   = x^2

             x   = 0.071

         [H^+]   = x = 0.071M

        PH   = -log[H^+]

                = -log0.071

                 = 1.1487

      F^-   + H2O ------------------> HF + OH^-

I          0.02                                 0         0

C          -x                                   +x        +x

E       0.02-x                                 +x        +x

           Kb   = Kw/Ka

                   = 1*10^-14/6.6*10^-4    = 1.5*10^-11

         Kb   = [HF][OH^-]/[F^-]

         1.5*10^-11   = x*x/0.02-x

         1.5*10^-11*(0.02-x) = x^2

           x   = 5.47*10^-7

    [OH^-]    =   x = 5.47*10^-7 M

   [H3O^+]    = 1*10^-14/5.47*10^-7    = 1.83*10^-8 M

   PH   = -log[H3O^+]

           = -log1.83*10^-8

           = -log1.83*10^-8

           = 7.7375