A 3.000 g sample of an organic compound was heated in oxygen and produced 7.568 g of CO2 and 1.328 g of water.
a. Determine the empirical formula of the substance.
b. In a separate experiment, the molar mass of the compound was
determined to be 122.1. What is the molecular formula of the
compound?
Ans
a) Number of moles of C = number of moles of CO2 = 7.568 / 44.01 = 0.172 moles
Mass of carbon = 12.01 x 0.172 = 2.06 g
Number of moles of H2O = 1.328 / 18.01528 = 0.074 moles
So number of H atoms = 2 x 0.074 = 0.148 moles
Mass of H = 0.148 x 1.008 = 0.149 grams
Mass of Oxygen = 3.000 - 2.06 - 0.149 = 0.791 g
Number of moles of O = 0.791 / 15.999 = 0.049 moles
Dividing the number of moles by a common value to get the ratio as : 7 : 6 : 2
SO the empirical formula of the compound becomes : C7H6O2
B) the empirical mass = 7 (12.01) + 6(1.008) + 2(15.999) = 122.117 g/mol
DIviding molar mass / empirical mass = 122.1 / 122.117
=1
Multipying this value to the empirical formula
We get the molecular formula as C7H6O2
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