Corban E. answered 02/17/22
AP Chemistry Tutor and Former Teacher (Gen Chem, IB, O-Level, A-Level)
100.929 g Mg3N2 = 1 mol Mg3N2
1 mol Mg3N2 = 3 mol Mg(OH)2
1 mol Mg(OH)2 = 58.319 g Mg(OH)2
Convert g Mg3N2 to mol Mg3N2, then mol Mg(OH)2, then grams Mg(OH)2
5.72 g Mg3N2 ( 1 mol Mg3N2 / 100.929 g Mg3N2) (3 mol Mg(OH)2 / 1 mol Mg3N2) (58.319 g Mg(OH)2 / 1 mol Mg(OH)2)
=9.915 g Mg(OH)2
This is the theoretical yield.
The experimental yield is given as 8.69 g Mg(OH)2
Percent yield formula:
%yield=(experimental yield / theoretical yield)100
%yield=(8.69/9.915)100
%yield=87.6% yield Mg(OH)2