A G Chem question. Please Help!

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grettlin2

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I checked the answer, but the correct answer was "none of all". Since I am not familar with this question, could you please check if my procedure is correct. I appreciate it!

What volume of HCl is added if 20mL of 1M NaOH is titrated with 1M HCl to produce a pH=2?

(** I think I don't have to use buffer equation pH = pKa + log(..)
**)

I assume x mL 1 M HCl has to add to the solution.
The final pH is 2 ==> it means there is 0.01 mole HCl.

Basically, I make the equation mole of HCl = mole of HCl

(x * 1) - (20 * 1) = 0.01 * (x + 20)
-------- --------- ------ -----------
total mole added mole OH final pH volume of HCl+OH

my final answer is x = 20.4 mL. Is it correct? Thanks for you time.

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