Upon combustion, a 0.8009 g sample of a compound containing only carbon, hydrogen, and oxygen produces 1.6004 g co2 and 0.6551 g h2o. determine the empirical formula of the compound.

Respuesta :

The compound contains Carbon, Hydroxide and Oxide
1 mole of carbon iv oxide contains 44 g, out of which 12 g are carbon.
Therefore, 1.6004 g of CO2 will contain;
    1.6004 ×12/44 = 0.4365 g of carbon
1 mole of water contains 18 g of which 2 g is hydrogen,
Therefore, 0.6551 g of H2O will hace ;
         0.6551 × 2/18 = 0.0728 g of hydrogen.
The total mass of the compound is 0.8009 g,
Thus the mass of oxygen = 0.8009 -(0.4365 +0.0728)
                                         = 0.2916 g
To get the empirical formula we first get the number of moles of each element;\
 Carbon = 0.4365/12= 0.036375 moles
Hydrogen = 0.0728/1 = 0.0728 moles
Oxygen = 0.2916/16 = 0.018225 moles
Then, to get the smallest ratio we divide each with the smallest value;
Carbon :                        Hydrogen :                    Oxygen
= (0.036375/0.018225) : (0.0728/0.018225) : ( 0.018225/0.018225)
= 1.996                         :   3.995                    : 1
≈ 2 : 4 : 1
Therefore, the empirical formula is C2H4O


The empirical formula of the compound is C₂H₄O

How to determine the mass of Carbon

  • Mass of CO₂ = 1.6004 g
  • Molar mass of CO₂ = 44 g/mol
  • Molar of C = 12 g/mol
  • Mass of C =?

Mass of C = (12 / 44) × 1.6004

Mass of C = 0.4365 g

How to determine the mass of H

  • Mass of H₂O = 0.6551 g
  • Molar mass of H₂O = 18 g/mol
  • Molar of H = 2 × 1 = 2 g/mol
  • Mass of H =?

Mass of H = (2 / 18) × 0.6551

Mass of H = 0.0728 g

How to determine the mass of O

  • Mass of compound = 0.8009 g
  • Mass of C = 0.4365 g
  • Mass of H = 0.0728 g
  • Mass of O =?

Mass of O = (mass of compound) – (mass of C + mass of H)

Mass of O = 0.8009 – (0.4365 + 0.0728)

Mass of O = 0.2916 g

How to determine the empirical formula

  • C = 0.4365 g
  • H = 0.0728 g
  • O = 0.2916 g
  • Empirical formula =?

Divide by their molar mass

C = 0.4365 / 12 = 0.036

H = 0.0728 / 1 = 0.0728

O = 0.2916 / 16 = 0.018

Divide by the smallest

C = 0.036 / 0.018 = 2

H = 0.0728 / 0.018 = 4

O = 0.018 / 0.018 = 1

Thus, the empirical formula of the compound is C₂H₄O

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