J.R. S. answered 01/06/21
Ph.D. University Professor with 10+ years Tutoring Experience
First, you have to write a correctly balanced equation:
Al2(SO3)3 + 6NaOH ==> 3Na2SO3 + 2Al(OH)3 ... balanced equation
To find limiting reactant, we will compare moles of each reactant present considering their stoichiometric coefficients in the balanced equation.
moles Al2(SO3)3 present = 12 g Al2(SO3)3 x 1 mol/294 g = 0.0408 moles
moles NaOH present = 12 g NaOH x 1 mol/40 g = 0.30 moles
a). It might appear that NaOH is limiting but since it takes SIX moles NaOH for every 1 mol Al2(SO3)3, that now makes Al2(SO3)3 limiting (Just divide 0.30 by 6 and compare that to 0.0408 divided by 1)
b). grams Al(OH)3 produced: 0.0408 mol Al2(SO3)3 x 2 mol Al(OH)3 / mol Al2(SO3)3 x 78 g/mol = 6.4 g
c). grams Na2SO3 produced: 0.0408 mol Al2(SO3)3 x 3 mol Na2SO3 / mol Al2(SO3)3 x 126 g/mol = 15 g
d). % yield = 8 g/15 g (x100%) = 53% = 50% (1 sig. fig.)