Combustion of 31.68 g of a compound containing only carbon, hydrogen, and oxygen produces 36.67 g CO2 and 15.01 gH2O. What is the empirical formula of the compound?



Answer :

Combustion of 31.68 g of a compound containing only carbon, hydrogen, and oxygen produces 36.67 g CO₂ and 15.01 g H₂O. the empirical formula of the compound is CH₂O.

given that :

mass of CO₂ = 36.67 g

mass of H₂O = 15.01 g

total mass of compound = 31.68 g

moles of CO₂ = 36.67 / 44

                       = 0.833 mol

moles of C = 0.833 mol

moles of  H₂O = 15.01 / 18

                        = 0.833 mol

moles of H = 2(0.833)

                  = 1.667 mol

mass of carbon = 0.833 × 12

                           = 10 g

mass of hydrogen = 1.667 × 1

                               = 1.667 g

mass of oxygen = 31.68 - ( 10 + 1.67 )

                             = 20 g

moles of Oxygen = 20 / 16

                             = 1.25 mol

dividing by the smallest one :

C = 0.833 / 0.833 = 1

H = 2

O = 1

The empirical formula is CH₂O.

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