Step 1
Data provided:
The reaction: 4Al + 3O2 => 2Al2O3 (balanced)
The limiting reactant Al (it is said that Al reacts completely)
Mass of Al = 42.6 g
The actual yield = 57.8 g Al2O3
-----------------------
Step 2
Data needed: the molar mass of Al (26.9 g/mol) and Al2O3 (101.9 g/mol)
The theoretical yield:
4 x 26.9 g Al ------- 2 x 101.9 g Al2O3
42.6 g Al ------- X = 80.7 g Al2O3 = theoretical yield
---------------------
Step 3
% yield = (actual yield/theoretical yield) x 100 = (57.8 g/80.7 g) x 100 = 71.6 %
(this is the closest value for one of the options, 71.8 %)
Answer: 71.8 %