1) Convert moles of Al to moles of S (a).
The ratio of Al to S in the compound is 2 Al: 3 S.
[tex]\frac{2molAl_{}}{3molS_{}}[/tex][tex]\frac{3molS_{}}{2molAl_{}}[/tex]
2) Convert moles of Al2(SO4)3 to S (b).
The ratio of S to the Al2(SO4)3 is 3 S: 1 Al2(SO4)3.
[tex]\frac{3molS_{}}{1molAl_2(SO_4)_3}_{}[/tex][tex]\frac{1molAl_2(SO_4)_3}{3molS_{}}[/tex]
3) Moles of Al in the sample if the sample contains 1.97 mol S (c).
Convert moles of S to moles of Al.
[tex]molAl_2(SO_4)_3=1.97molS\cdot\frac{2molAl_{}}{3molS_{}}_{}=1.31molAl_{}[/tex]
There is 1.31 mol Al in the sample.
4) Moles of S in 1.71 mol Al2(SO4)3
Convert moles of Al2(SO4)3 to moles of S
[tex]molS_{}=1.71molAl_2(SO_4)_3\cdot\frac{3molS_{}}{1molAl_2(SO_4)_3}=5.13molS_{}[/tex]
There is 5.13 mol S in the sample