J.R. S. answered 06/20/22
Ph.D. University Professor with 10+ years Tutoring Experience
% yield = actual yield / theoretical yield (x100%)
We are given the actual yield = 142.9 mls
We need to know the theoretical yield of ethanol from 275.0 g of glucose.
The reaction of glucose (C6H12O6) forming ethanol (C2H5OH) is
C6H12O6(l) ==> 2 C2H5OH(l) + 2 CO2(g) ... fermentation of glucose
Theoretical yield of C2H5OH:
molar mass C6H12O6 = 180 g / mol
molar mass C2H5OH = 46.1 g / mol
275.0 g C6H12O6 x 1 mol / 180 g = 1.528 mols C6H12O6
1.528 mol C6H12O6 x 2 mol C2H5OH / mol C6H12O6 = 3.0556 mol C2H5OH theoretical yield
Given a density of 0.789 g / ml for ethanol (Wikipedia), we can find the mls of C2H5OH
3.0556 mol C2H5OH x 46.1 g / mol x 1 ml / 0.789 g = 178.5 ml C2H5OH theoretical yield
Percent yield = 142.9 ml / 178.5 ml (x100%) = 80.06%