J.R. S. answered 11/30/22
Ph.D. University Professor with 10+ years Tutoring Experience
First, let's look at the equation for the reaction that is taking place (omitting spectator ions):
2HPO42-(aq) + 3Ca2+(aq) ==> Ca3(PO4)2(s) + 2H+(aq)
Next, let's find the moles of Ca2+ present:
800.0 mg sample x 10% Ca = 80 mg Ca
80 mg Ca x 1 g / 1000 mg x 1 mol Ca / 40.08 g = 0.001996 mols Ca
Next, we find the moles of HPO42-- needed to react with 0.001996 mols Ca
0.001996 mols Ca x 2 mol HPO42-- / 3 mols Ca2+ = 0.001331 mols HPO42-- needed
Finally, we find what volume will contain this many moles
0.001331 mols HPO42-- x 1 L / 0.200 mols = 0.006653 L = 6.653 mls needed