J.R. S. answered 07/22/22
Ph.D. University Professor with 10+ years Tutoring Experience
Al2S3 + 6H2O ==> 2Al(OH)3 + 3H2S ... BALANCED EQUATION
An easy way to identify the limiting reactant is to divide the moles of each reactant by the corresponding coefficient in the balanced equation and whichever value is less indicates the limiting reactant.
Al2S3: 15.00 g Al2S3 x 1 mol Al2S3 / 150.2 g = 0.09987 mols Al2S3 (÷1->0.0999)
H2O: 10.00 g H2O x 1 mol H2O / 18.02 g = 0.5549 mols H2O (÷6->0.0925)
Since 0.0925 is less than 0.0999, H2O is the limiting reactant.
To find how much excess reactant (Al2S3) is left over, we use the stoichiometry of the balanced equation to first find out how much has reacted. Then subtract that from the amount originally present to find the amount left over,
Al2S3 used up: 0.5549 mols H2O x 1 mol Al2S3 / 6 mol H2O = 0.0925 mols Al2S3 used
Al2S3 remaining: 0.09987 mols - 0.0925 mols = 0.00737 Al2S3 mols left over
If you want this in grams: 0.00737 mols x 150.2 g/mol = 1.107 g Al2S3 left over