Titration of a Weak Base with a Strong Acid:

Titrate $45\mathrm{.}0mL$ of $0\mathrm{.}26M$ pyrrolidone with $0\mathrm{.}19MHN{O}_3.$ The $K_b$ for pyrrolidone is $1\mathrm{.}86{10}^{-3}.$

Calculate the $pH$ :

$(1)$ At the beginning of the titration before any $HN{O}_3$ is added

$(2)$ At some point before the equivalence point

$(3)$ At the equivalence point

$(4)$ At some point past the equivalence point.

Calculate before you start: