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If 1 kg of benzene (c6h6) is oxidized with oxygen, how many kilograms of o2 are needed to convert all of the benzene to co2 and h2o?

Respuesta :

CintiaSalazar

Taking into account the reaction stoichiometry, 3,076.923 grams or 3.076 kg of O₂ are required to react when 1 kg of benzene is oxidized.

Reaction stoichiometry

In first place, the balanced reaction is:

2 C₆H₆ + 15 O₂ → 12 CO₂ + 6 H₂O

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

  • C₆H₆: 2 moles
  • O₂: 15 moles
  • CO₂: 12 moles
  • H₂O: 6 moles

The molar mass of the compounds is:

  • C₆H₆: 78 g/mole
  • O₂: 32 g/mole
  • CO₂: 44 g/mole
  • H₂O: 18 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

  • C₆H₆: 2 moles ×78 g/mole= 156 grams
  • O₂: 15 moles ×32 g/mole= 480 grams
  • CO₂: 12 moles ×44 g/mole= 528 grams
  • H₂O: 6 moles ×18 g/mole= 108 grams

Mass of O₂ required

The following rule of three can be applied: If by reaction stoichiometry 156 grams of benzene react with 480 grams of O₂, 1000 grams (1 kg=1000 grams) of benzene react with how much mass O₂?

[tex]mass of O_{2} =\frac{1000 grams of benzenex480 grams ofO_{2} }{156grams of benzene}[/tex]

mass of O₂= 3,076.923 grams

Finally, 3,076.923 grams or 3.076 kg of O₂ are required to react when 1 kg of benzene is oxidized.

Learn more about the reaction stoichiometry:

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