Sorry for the late reply. I replied Friday night but I dont see my post here...
Sorry about that, I deleted it, because it was a quote of a quote of a quote, without any new text within, so far as I could see. More of a bμmp, really.
So in the first beaker, 0.8*4= 3.2 moles of acid is ionized. When I add the 3 moles of base to this beaker then 3 moles of acid is neutralized. This leaves 0.2+0.8= 1 mole of acid in the first beaker.
That is not how I wanted you to figure this one out.
I am assuming that all of the acid, the 1 mole, is ionized in the second beaker. But I cant say this with certainty because not enough information is given.
I have no idea why you would say that.
You already stated, at the beginning of this thread, that you knew that 1 M HCl completely ionizes. You are likely correct that 12 M HCl doesn't completely ionize. But we tried to tel you that 2 or 3 molar likely ionizes completely.
At any case, no matter what, the first 1 Molar of any solution of HCl ionizes. And once consumed, the second one is available to likewise ionize completely, and so your original plan, to add two volumes of 1 M HCl, is exactly what you want to do.