J.R. S. answered 11/27/18
Ph.D. University Professor with 10+ years Tutoring Experience
First, write the correctly balanced equation:
4Al(s) + 3O2(g) ===> 2Al2O3(s)
Next, find moles of Al used in the reaction:
168.6 g Al x 1 mol Al/26.98 g = 6.249 moles Al
Next, find moles of Al2O3 produced from this many moles of Al. You do this using the mole ratio in the equation:
6.249 moles Al x 2 moles Al2O3/4 moles Al = 3.1245 moles Al2O3 formed >> (this assumes O2 is not limiting)
Finally, convert this to grams of Al2O3, and correct for significant figures:
3.1245 moles Al2O3 x 101.96 g/mole = 318.6 g (to 4 sig. figs.)