$20\mathrm{.}0$ mL of $\mathrm{.}5$M propanoic acid $($HC$3$H$5$O$2,$ Ka$=1\mathrm{.}3$x$10^-5)$ is titrated with $\mathrm{.}3$M NaOH

a$.$ Calculate the pH of the propanoic acid before any NaOH has been added

b$.$ Write the net ionic equation for the reaction between NaOH and propanoic acid

c$.$ What is the pH when enough NaOH has been added so that half of the original propanoic acid has reacted

d$.$ Including spectators, list the major species present at the equivalence point

e$.$ Calculate the pH at the equivalence point of this titration

f$.$ Calculate the pH after adding a total of $50\mathrm{.}0$mL NaOH

g$.$ Which of the following indicators would be best for this titration? Explain your choice

Indicator pKa

Thymol Blue $2$

Bromocresol Green $5$

Thymolphthalein $10$