Cocaine, C17H23O4N, is a weak base with Kb=4.0x10^-9. It can be made into a salt called...

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Cocaine, C17H23O4N, is a weak base with Kb=4.0x10^-9. It can bemade into a salt called cocaine hydrochloride, C17H23O4NHCl, thatis soluble in water (forming ions C17H23O4NH+ and Cl-. What is thepH of a 0.20 M solution of C17H23O4NHCl?

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4.5 Ratings (705 Votes)

C17H23O4N is CONVOLVAMINE, not cocaine. Cocaine is C17H21O4N. C17H23O4NHCl is CONVOLVAMINE HYDROCHLORIDE. C17H21O4NHCl is cocaine hydrochloride.

Given, 0.20M C17H23O4NHCl
the weak base molecule dissociates into..
C17H23O4NHCl + H2O <--------> C17H23O4NH+ + Cl-
I:           0.20         -                        0                0
C:           -x                                    +x              +x
E:       0.20-x                                  x                x

Now, Kb = [C17H23O4NH+][Cl-] / C17H23O4NHCl

      4.0x10-9 = x2 / 0.20-x

      x2 = 4.0x10-9 * (0.20-x)

     x2 = (8.0x10-10) -(4.0x10-9 x)

    x2 - (8.0x10-10) + (4.0x10-9 x) = 0

solve for x, using quadratic equation, x = (2.83 x 10-5) M

Now, pOH = - log [OH-]

       pOH = -log (2.83 x 10-5)

       pOH = - (-4.55)

      pOH = 4.55

As we know, pH + pOH = 14

                   pH = 14 - pOH

                   pH = 14 - 4.55

                   pH = 9.45


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