J.R. S. answered 09/29/23
Ph.D. University Professor with 10+ years Tutoring Experience
HC2H3O2(l) + C4H10O(l) ==> C6H12O2(l) + H2O(l) .. balanced equation
acetic acid.....butyl alcohol....butyl acetate....water...........
We must work in moles, to begin with, so we will first convert 220.0 L acetic acid to grams and then moles:
220.0 L x 1000 ml / L x 1.049 g / ml x 1 mol / 60.06 g = 3842.5 mols acetic acid
Next, from the stoichiometry of the balanced equation, we will calculate moles of n-butyl alcohol needed, and then convert that to kg of n-butyl alcohol:
1.) 3842.5 mol acetic acid x 1 mol n-butyl / mol acetic acid = 3842.5 mols n-butyl alcohol needed
3842.5 mols n-butyl x 74.14 g / mol x 1 kg / 1000 g = 284.9 kg of n-butyl alcohol needed
2). Volume of n-butyl needed = 284.9 kg x 1 L/ 0.810 kg = 351.7 Liters of n-butyl alcohol needed
750.0 L n-butyl alcohol x 0.810 kg / L x 1000 g / kg x 1 mol / 74.14 g = 8194 mols n-butyl alcohol used
moles n-butyl alcohol left over = 8194 mol - 3843 mol = 4351 mols n-butyl left over
1.) Volume n-butyl left over = 4351 mols x 74.14 g / mol x 1 ml / 0.810 g x 1 L/1000 ml = 398.3 L left over
Since n-butyl alcohol is present is EXCESS, that means acetic acid is the limiting reactant, and thus moles of acetic acid will determine the theoretical yield of butyl acetate.
1.) Theoretical yield butyl acetate = 3843 mols acetic acid x 1 mol butyl acetate/ mol acetic acid = 3843 mols of butyl acetate.
3843 mols butyl acetate x 116.16 g / mol = 446403 g butyl acetate
2.) 44640 g butyl acetate x 1 kg / 1000 g = 446.4 kg
3.) 446.4 kg butyl acetate x 1 L / 0.883 kg = 505.5 L of butyl acetate
Percent yield = actual yield / theoretical yield (x100%)
actual yield = 484.3 L x 0.883 kg / L = 427.6 kg
theoretical yield = 446.4 kg
% yield = 427.5 kg / 446.4 kg (x100%) = 95.80% yield
(BE SURE TO CHECK ALL CALCULATIONS)