given:
% B = 15.94 % by mass
% F = 84.06 % by mass
This means that for 100 g of the compound:
Mass of B = 15.94 g
Mass of F = 84.06 g
Now, atomic mass of B = 10.811 g/mol
Atomic mass of F = 18.998 g/mol
# moles of B = Mass of B/Atomic mass of B = 15.94 g/10.811 gmole-1 = 1.474 moles
# moles of F = Mass of F/ Atomic mass of F = 84.06/18.998 = 4.425 moles
The molar ratio of B and F in the given compound would be:
B = 1.474/1.474 = 1
F = 4.425/1.474 = 3
Therefore, the empirical formula is BF3
The corresponding empirical formula mass = 1* 10.811 + 3*18.998 = 67.805 g/mol i.e, 67.81 g/mol
It is given that the molar mass of the compound is 67.81 g/mol
The ratio of the two masses is:
n = empirical mass/molar mass = 67.81/67.81 = 1
Molecular formula = n*Empirical formula = 1*(BF3) = BF3
Hence, the molecular formula of the compound is BF3