J.R. S. answered 06/24/23
Ph.D. University Professor with 10+ years Tutoring Experience
Find moles of each element:
moles K = 3.89 g K x 1 mol K / 39.10 g =0.0995 mols K
moles Cl = 3.53 g Cl x 1 mol Cl / 35.45 g = 0.0996 mols Cl
moles O = 12.19 g - 3.89 g - 3.53 g = 4.77 g O x 1 mol O / 16 g = 0.298 mols O
Divide all by the lowest value in an attempt to get all whole numbers:
moles K = 0.0995 / 0.0995 = 1.0 mols K
moles Cl = 0.0996 / 0.0995 = 1.0 mols Cl
moles K = 0.298 / 0.0995 = 3.0 mols O
Empirical formula = KClO3
Find moles of O present:
moles O = 28.9 g O x 1 mol O / 16 g = 1.81 moles O
Find moles and grams of other elements:
moles C = 1.81 mols O x 2 mols C / 2 mols O = 1.81 mols C x 12 g / mol = 21.72 g C
moles H = 1.81 mols O x 1 mol H / 2 mols O = 0.905 mols H x 1 g / mol = 0.905 g H
mols F = 1.81 mols O x 3 mol F / 2 mols O = 2.72 mols F x 19 g / mol = 51.68 g F
Total mass of sample = 28.9 g + 21.7 g + 0.91 g + 51.7 g = 103 g (3 sig. figs.)