J.R. S. answered 04/21/20
Ph.D. University Professor with 10+ years Tutoring Experience
First, find the moles of C and H:
0.3228 g CO2 x 1 mol CO2/44 g x 1 mol C/mol CO2 = 0.007336 moles C
0.1321 g H2O x 1 mol H2O/18 g x 2 mol H/mol H2O = 0.01468 moles H
Next, we find the moles of O. We do this by finding mass of C and H, subtracting that from original mass of sample, and then converting that to moles.
mass C = 0.007336 mol C x 12 g/mol = 0.0880 g C
mass H = 0.01468 mol H x 1 g/mol = 0.01468 g H
mass of O = 0.1322 g - 0.0880 g - 0.01468 g = 0.02952 g O
moles O = 0.02952 g O x 1 mol/16 g = 0.001845 moles O
Now we divide all moles by the lowest number in an attempt to get all whole numbers.
moles O = 0.001845/0.001845 = 1.00 moles O
moles C = 0.007336/0.001845 = 3.98 ~ 4 moles C
moles H = 0.01468/0.001845 = 7.96 ~ 8 moles H
Finally, our empirical formula = C4H8O
For the molecular formula, we find how many empiricals it takes to make 1 molecular. The molar mass of the empirical is 48+8+16 = 72 g/mole
molecular is 72g/mol so it takes only 1 empirical to make the molecular.
Molecular formula = C4H8O