Corban E. answered 03/03/22
AP Chemistry Tutor and Former Teacher (Gen Chem, IB, O-Level, A-Level)
Al2(SO3)3+6NaOH --> 2Al(OH)3+3Na2SO3
turn mass into moles with molar mass
10.0 g Al2(SO3)3 ( 1 mol / 294.15 g) = 0.03399626 mol Al2(SO3)3
10.0 g NaOH (1 mol NaOH / 40.0 g) = 0.25 mol NaOH
turn moles into mol Al(OH)3 with coefficients:
0.03399626 mol Al2(SO3)3 (2 mol Al(OH)3 / 1 mol Al2(SO3)3)=0.0679925 mol Al(OH)3
0.25 mol NaOH (2 mol Al(OH)3 / 6 mol NaOH) = 0.083333 mol Al(OH)3
smaller theoretical yield is 0.0679 mol product, so that's the real theoretical yield, and Al2(SO3)3 is limiting
convert moles to grams with molar mass
0.0679925 mol Al(OH)3 (748.003 g Al(OH)3 / 1 mol Al(OH)3)=5.30359 g Al(OH)3
sig figs:
=5.30 g Al(OH)3