PH of solution?

What is the pH of solution when 50mL of 0.1M hypochlorus acid (Ka = 3e-8) is mixed with 15mL of 0.1M NaOH?

I thought I could just take the amount of excess acid and divide by total volume to get [H3O+] since the acid is in surplus, then take the -log([H3O+]) to get pH but the answer came out wrong.

They are telling me to take the amount excess acid/total volume, which gives you acid conc. then dividing that by amount of base added / total volume, which gives you [H3O+].

This is in sharp contrast to a problem I just did that was extremely similar and the answers are coming out different.

Answer:
I think you're forgetting to take into account the fact that the acid is a weak one and does not dissociate completely.
Although the conc. of excess acid is 0.0035mol/0.065L =0.0538M, only part of is becomes H3O+ in solution as indicated by its small Ka.

Eqn: HOCl ~> H+ + OCl-
Orig: 0.0538 0 0
change: -x +x +x
Equlib: 0.0538-x x x

The equlibrium quotient equation is Ka=[H+][OCl-]/[HOCl]

or 3e-8 = x^2/0.0538
I omitted the x on the bottom b/c I expect it to be much much smaller than 0.0538 and it will not make much of a difference. The general rule is that you can omit the x if your original acid concentration is more than 1000-fold greater than Ka (here, it's about 1000,000-fold greater).

Solve that equation for x (H3O+): x = 4.02e-5 M
pH = 4.4
Take the negative log of the hydrogen ion concentration to get the pH. Once you figured that out, you will learn how to do your own homework

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