J.R. S. answered 12/12/19
Ph.D. University Professor with 10+ years Tutoring Experience
You can find the % by mass of Li in Li3PO4 and then determine grams of Li in 5.000 grams of the sample, or you can find moles of Li3PO4 represented by 5.000 grams and then moles of Li and finally grams of Li.
(1). % Li by mass:
3 Li x 6.941 g/Li = 20.823 g Li
1 P = 30.97 g
4 O = 4 x 15.99 = 63.96
Total = 115.753 g/mol
% Li = 20.823 / 115.753 = 0.1799 = 17.99%
5.000 g x 0.1799 = 0.8995 g Li
(2). moles Li3PO4 = 5.000 g x 1 mol/115.753 g = 0.04320 moles
moles Li = 0.04320 moles Li3PO4 x 3 mol Li/mole Li3PO4 = 0.1296 moles Li
mass Li = 0.1298 moles Li x 6.941 g/mol = 0.8995 g Li