Trinitrotoluene is the chemical name for the explosive commonly known as TNT. Its formula is $\mathrm{C}_{7} \mathrm{H}_{5} \mathrm{N}_{3} \mathrm{O}_{6}$. TNT is manufactured by the reaction of toluene, $\mathrm{C}_{7} \mathrm{H}_{8},$ with nitric acid:
$\mathrm{C}_{7} \mathrm{H}_{8}+3 \mathrm{HNO}_{3} \rightarrow \mathrm{C}_{7} \mathrm{H}_{5} \mathrm{N}_{3} \mathrm{O}_{6}+3 \mathrm{H}_{2} \mathrm{O}$.a) How much nitric acid is needed to react completely with 1.90 kilograms of toluene?
b) How many kilograms of TNT can be produced in the reaction?