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The Ka of a monoprotic weak acid is 4.8 x 10^-3. What is the percent ionization

ID: 497882 • Letter: T

Question

The Ka of a monoprotic weak acid is 4.8 x 10^-3. What is the percent ionization of a .198M solution of this acid?
(I got 16.8% and it's wrong)

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Explanation / Answer

Let be the dissociation of the weak acid
                            HA <---> H + + A-

initial conc.            c               0         0

change                -c            +c      +c

Equb. conc.         c(1-)          c    c

Dissociation constant , Ka = c x c / ( c(1-)

                                         = c 2 / (1-)

In the case of weak acids is very small so 1- is taken as 1

So Ka = c2

==> = ( Ka / c )

Given Ka = 4.8x10-3

          c = concentration = 0.198 M

Plug the values we get = 0.156

% dissociation = 0.156 x 100 = 15.6 %

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