A student reacted $150\mathrm{.}0mL$ of $3\mathrm{.}00M$ hydrochloric acid with an excess of solid zinc metal at a temperature of $24\mathrm{.}70C$ and a pressure of $765mmHg.$ This reaction generated hydrogen gas $($which is diatomic$)$ and another aqueous product. $R=0\mathrm{.}08206$ L$.$atm$/$mol$.$K

a$.$ Write a balanced chemical equation for the reaction of hydrochloric acid and solid zinc. Include all states of matter on the molecules in the reaction.

b$.$ Use the data to determine how many $L$ of hydrogen gas were generated by the student's reaction.