J.R. S. answered 10/10/22
Ph.D. University Professor with 10+ years Tutoring Experience
To find the percent yield, we first need to find the theoretical yield. To find the theoretical yield, we use the stoichiometry of the balanced equation.
PCl3 + 3H2O ==> H3PO3 + 3HCl ... balanced equation (1 PCl3 makes 1 H3PO3)
moles PCl3 = 20.0 g x 1 mol PCl3 / 137 g = 0.1459 moles
moles H3PO3 = 0.1459 moles (1:1 mole ratio)
Theoretical yield (in g) H3PO3 = 0.1459 mols H3PO3 x 81.99 g/mol = 11.96 g
Percent yield = actual yield / theoretical yield (x100%)
% yield = 11.2 g / 11.96 g (x100%) = 93.6% (3 sig. figs.)