J.R. S. answered 03/15/21
Ph.D. University Professor with 10+ years Tutoring Experience
When given grams, we want to first convert to moles, and then back to grams at the end.
CaCO3 + 2KCl ==> CaCl2 + K2CO3 ... balanced equation
................15.00 g........?g..................
molar mass of KCl = 74.55 g/mol
molar mass CaCl2 = 110.98 g/mol
moles KCl present = 15.00 g KCl x 1 mol KCl / 74.55 g = 0.2012 moles
moles of CaCl2 formed = 0.2012 moles KCl x 1 mol CaCl2 / 2 moles KCl = 0.1006 moles
grams CaCl2 formed = 0.1006 moles CaCl2 x 110.98 g/mol = 11.16 g (4 sig. figs.)
Using dimensional analysis to obtain the final result, we have...
15.00 g KCl x 1 mol KCl/74.55 g x 1 mol CaCl2 / 2 mol KCl x 110.98 g CaCl2/mol CaCl2 = 11.16 g CaCl2