Answer : The balanced equation is;
2Al + 3 [tex]Br_{2}[/tex] ----> 2Al[tex]Br_{3}[/tex].
So now, to calculate how many grams of [tex]Br_{2}[/tex] will be needed to completely convert 15 g of Al[tex]Br_{3}[/tex],
In the reaction 2 moles of Al and 3 moles of [tex]Br_{2}[/tex] will be needed to produce 2 moles of Al[tex]Br_{3}[/tex].
So, (15.0 g Al) X (1 mole Al / 26.98 g Al) X (3 moles [tex]Br_{2}[/tex] / 2 moles Al) X (159.81 g [tex]Br_{2}[/tex] / 1 mole [tex]Br_{2}[/tex])
= 133 g [tex]Br_{2}[/tex]
Hence, 133g of [tex]Br_{2}[/tex] will be needed to completely convert 15 g of Al into Al[tex]Br_{3}[/tex].