AP Chem question on buffers/titration...?

Question

Chem question: what mass of solid NaOH must be added to 1L 2M HC2H3O2 to produce a buffered solution at pH=pKa?

I'm interested more in the process by which one would obtain the answer, rather than the answer itself.

Answer 1

pH = pKa when half the moles of ethanoic acid have been neutralised and turned into sodium ethanoate.
So the question boils down to calculating how many moles of acid are present, and halving them. Then you work out the mass of that number of moles of NaOH.

In fact, the way this question is written, it comes down to working out what half of two is, and then multiplying by 40!

Answer 2

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