Consider the titration of \(100.0 \mathrm{~mL}\) of a \(1.00 \times 10^{-4} \mathrm{M}\) solution of an acid HA \(\left(K_{\mathrm{a}}=5.0 \times 10^{-10}ight)\) with \(1.00 \times\) \(10^{-3} \mathrm{M} \mathrm{NaOH}\). Calculate the \(\mathrm{pH}\) for the following conditions.

a. before any \(\mathrm{NaOH}\) has been added

b. after \(5.00 \mathrm{~mL}\) of \(\mathrm{NaOH}\) has been added

c. at the stoichiometric point