science
posted by nick .
What fraction of piperazine (perhydro1,4diazine) is in each of its three forms (H2A, HA–, A2–) at pH 8.67? The acid dissociation constant values for piperazine are Ka1 = 4.65×10–6 and Ka2 = 1.86×10–10.

You do these using the alpha system.
The denominator of the fraction is
D = (H^+)^2 + k1*(H^+) + k1k1
alphao = (H2A) = (H^+)^2/D
alpha1 = (HA^) = k1*(H^+)/D
alpha2 = (A^2) = k1k2/D
Plug in the numbers and solve. 
THIS IS WRONG. DR. BOB IS WRONG YET AGAIN. DON'T WASTE YOUR TIME LOOKING AT THIS.