Derive the molecular formula of a substance consisting of carbon, hydrogen and bromine, the mass fractions
Derive the molecular formula of a substance consisting of carbon, hydrogen and bromine, the mass fractions of which are 40%, 6.67% and 53.33%, respectively. The oxygen density of the substance vapors is 4.69.
Given:
w% (C) = 40%
w% (H) = 6.7%
w% (Br) = 53.3%
D (O2) = 4.69
Find:
Formula -?
Solution:
1) Find the molecular weight of a substance by its oxygen density:
D (O2) = Mr (things): Mr (O2)
Mr (things) = D (O2) * Mr (O2) = 4.69 * 32 = 150
2) Knowing the mass fraction of carbon, we find its molecular weight and the number of atoms:
150 – 100%
x – 40%,
then x = 40% * 150: 100% = 60
N (C) = 60: Mr (C) = 60: 12 = 5 atoms.
3) Knowing the mass fraction of bromine, we find its molecular weight and the number of atoms:
150 – 100%
x – 53.3%,
then x = 53.3% * 150: 100% = 79.95
N (Br) = 79.95: Mr (Br) = 79.95: 80 = ~ 1 atom.
4) Then the molecular weight of hydrogen is 150 – 60 – 79 = 11.
N (H) = 11: Mr (H) = 11: 1 = 11 atoms.
We got a substance with the formula C5H11Br – bromopentane.
Answer: C5H11Br – bromopentane.