J.R. S. answered 12/04/20
Ph.D. University Professor with 10+ years Tutoring Experience
You are asked for the % of KI, which means we need to find the mass of KI present in the original sample. Once we have that, we simply divide it by the mass of the entire sample (2.72 g) to find % KI.
How can we find the mass of KI? We use the stoichiometry of the balanced equations along with dimensional analysis:
0.0720 g Ba(IO3)2 x 1 mol Ba(IO3)2 / 487.13 g x 2 mol IO3- / mol Ba(IO3)2 = 0.0002956 moles of IO3-
Looking at the first reaction, we see that 1 mol IO3- comes from 1 mole I- (or 1 mol KI to be exact). So...
moles of I- = moles KI = 0.0002956 mol IO3- x 1 mol I- / mol IO3- = 0.0002956 moles I- = 0.0002956 moles KI
mass KI = 0.0002956 moles KI x 166.0 g/mol = 0.0491 g KI in original sample
%(m/m) KI = 0.0491 g / 2.72 g (x100) = 1.80% KI