J.R. S. answered 10/26/22
Ph.D. University Professor with 10+ years Tutoring Experience
Molar mass CaCO3 = 100.1 g / mol
Molar mass HCl = 36.5 g / mol
Molar mass CaCl2 = 111 g / mol
(1). Find the limiting reactant
For CaCO3: 29.0 g x 1 mol /100.1 g = 0.2897 mols
For HCl: 12.0 g x 1 mol / 36.5 g = 0.3288 mols
HCl is limiting because according to the balanced equation, we need 2 mols HCl for every 1 mol of CaCO3. We don't have twice as much HCl, so it will run out first.
(2). Use mols of limiting reactant to find amount of product formed:
Grams CaCl2 formed = 0.3288 mol HCl x 1 mol CaCl2 / 2 mol HCl x 111 g CaCl2/mol = 18.2 g CaCl2
(3). To find grams of excess CaCO3 left over, first find moles used, then subtract that from moles present (0.2897) and then convert to grams:
mols CaCO3 used up = 0.3288 mols HCl x 1 mol CaCO3 / 2 mol HCl = 0.1644 mols CaCO3
mols CaCO3 left over = 0.2897 mol - 0.1644 mol = 0.1253 mols left
grams CaCO3 left over = 0.1253 mols x 100.1 g/mol = 12.5 g CaCO3 left over