J.R. S. answered 01/28/22
Ph.D. University Professor with 10+ years Tutoring Experience
2Al(s) + 3H2SO4(aq) ==> 3H2(g) + Al2(SO4)3(aq) ... balanced equation
From the balanced equation, we can see the mole ratios among the different species. For example, the mole ratio between Al(s) and H2SO4(aq) is 2 : 3. Using this ratio and dimensional analysis, we can find moles of H2SO4 used when 3 mols Al are used.
3.0 mols Al x 3 mols H2SO4 / 2 mol Al = 4.5 mols H2SO4 needed
Following the same procedure, we can now find grams of H2 and Al2(SO4)3
For H2: 3 mols Al x 3 mols H2 / 2 mols Al x 2 g H2 / mol H2 = 9.0 g H2
For Al2(SO4)3: 3 mols Al x 1 mol Al2(SO4)3 / 2 mols Al x 342 g Al2(SO4)3 / mol = 513 g Al2(SO4)3
This would be rounded to 510 g (2 sig. figs.)