Question

In: Chemistry

Calculate the [H3O+] of the following polyprotic acid solution: 0.135 M H3C6H5O7. Express your answer using...

Calculate the [H3O+] of the following polyprotic acid solution: 0.135 M H3C6H5O7.

Express your answer using two significant figures.

Calculate the pH of this solution

Express your answer to two decimal places.

Solutions

Expert Solution

For H3C6H5O7,

We have, ka1 = 7.5 x 10-4 > ka2 = 1.7 x 10-5 > ka3 = 4.0 x 10-7

Here, the second and third dissociations are negligible when compared to the first one

                             H3C6H5O7 + H2O          H2C6H5O7- + H3O+

Initial                    0.135 M                                   0             0

Change                     -x                                        x             x

Equilibrium           0.135-x                                  x              x

Ka1 = 7.5 x 10-4 = x2/(0.135-x)     (x in the denominator can be neglected in comparison with 0.135 M)

Therefore,

x2 = 1.08 x 10-4

x = [H3O+] = 0.01 M

pH = -log[H3O+] = -log(0.01) = 2

pH = 2


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