Coffee beans and tea leaves can be decaffeinated using ethyl acetate ; density $($:$=1\mathrm{.}0492\frac{g}{m}ol\}.$ It is prepared by reacting ethanol ; density $($:$=0\mathrm{.}7893\frac{g}{m}l\}$ with acetic acid ; density $=1\mathrm{.}0492\frac{g}{m}ol$; the other product is water.

a$.$ If $10\mathrm{.}00ml$ of each ethanol and acetic acid are mixed, how many grams of ethyl acetate can be expected to form? $(6)$

b$.$ The reaction can be made faster if a small amount of sulfuric acid is used as a catalyst, meaning it is not consumed in the reaction. The reaction calls for $0\mathrm{.}050M$ sulfuric acid. If you only had a bottle of $8\mathrm{.}0$ M sulfuric acid, describe in detail how would you prepare $75\mathrm{.}0ml$ of the required concentration of acid? $(4)$