When 189.6 g of ethylene (C2H4) burns in oxygen to give carbon dioxide and water, how many grams of CO2 are formed?

C2H4(g) + O2(g) → CO2(g) + H2O(g) (unbalanced)
Answer
594.9 g
297.5 g
148.7 g
6.76 g
243.5 g

Respuesta :

Answer:

6.76

Explanation:

Taking inyo account the stoichiometry of the reaction, when 189.6 g of ethylene burns in oxygen to give carbon dioxide and water, 594.9 grams of CO₂ are formed.

First, taking into account that the Law of Conservation of Matter states that since no atom can be created or destroyed in a chemical reaction, the number of atoms that are present in the reactants must be equal to the number of atoms present in the products, the balanced reaction is:

C₂H₄ + 3 O₂ → 2 CO₂ + 2 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:

  • C₂H₄: 1 mole
  • O₂: 3 moles
  • CO₂: 2 moles
  • H₂O: 2 moles

The molar mass of each compound is:

  • C₂H₄: 28.05 g/mole
  • O₂: 32 g/mole
  • CO₂: 44.01 g/mole
  • H₂O: 18.01 g/mole

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

  • C₂H₄: 1 mole× 28 g/mole= 28.05 grams
  • O₂: 3 moles× 32 g/mole= 96 grams
  • CO₂: 2 moles× 44 g/mole= 88.02 grams
  • H₂O: 2 moles× 18.01 g/mole= 36.02 grams

Then it is possible to apply the following rule of three: if by stoichiometry 28.05 grams of C₂H₄ produce 88.02 grams of CO₂, 189.6 grams of C₂H₄ produces how much mass of CO₂?

[tex]mass of CO_{2} =\frac{189.4 grams of C_{2} O_{4}x 88.02 grams of CO_{2}}{28.05grams of C_{2} O_{4}}[/tex]

mass of CO₂= 594.9 grams

In summary, when 189.6 g of ethylene burns in oxygen to give carbon dioxide and water, 594.9 grams of CO₂ are formed.

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