Consider a 0.10 M solution of a weak polyprotic acid (H2A) with the possible values of Ka1 and Ka2 given below, calculate the contributions to [H3O+] from each ionization step.

Question

Part 1: Ka1=1.0*10^-4 Ka2=1.0*10^-5
Part 2: Ka1=1.0*10^-4 Ka2=1.0*10^-6

Answer 1

I don't know how accurate these are to be but as a first approximation they are as follows:
Note that
........H2A ==> H^+ + HA^- and
........HA^- ==> H^+ + A^2-

If you calculate H^+ from k1 (both acids) you obtain about 3.16E-4. That comes from k1 = (x)(x)/(0.1-x).
Since (H^+) = (HA^-), then those cancel each other when you substitute into k2 so (A^2- ) = k2 for each and that is the contribution of H^+ from the second k. You can see that it is almost negligible for #1 but has a greater impact on #2.