First we have to find the empirical formula, empirical formula gives the simplest ratio of whole numbers of components in a compound.
We calculate the formula for 100 g of compound
carbon hydrogen oxygen
mass 26.7 g 2.2 g 71.1 g
number of moles 26.7/12 2.2/1 71.1/16
= 2.22 = 2.2 = 4.44
divide by least number of moles
2.22/2.2 = 1.00 2.2/2.2 = 1 4.44/2.2 = 2.01
numbers rounded off are-
C - 1
H - 1
O - 2
empirical formula - CHO₂
mass of one empirical unit - 12 + 1 + (16x2) = 45
number of empirical units - 90/45 = 2
Therefore molecular formula - 2(CHO₂)
Molecular formula - C₂H₂O₄