A mixture of two hydrocarbons, C8H18 (octane) and C7H8 (toluene), has a mass of 157 g. The hydrocarbon mixture is burned in excess oxygen to form a mixture of carbon dioxide and water that contains 1.35 times as many moles of carbon dioxide as water. Find the masses of C8H18 and C7H8 in the mixture.

Respuesta :

The answer is C8H18 = 120.6 and C7H8 = 36.4 g

Hydrocarbons produce carbon dioxide and water on combustion in presence of air.

Write the balanced combustion reaction of a mixture of octane and toluene.

  • As both octane and toluene are hydrocarbons , they give carbon dioxide and water as the products.

[tex]C_{8}H_{18} + C_{7}H_{8} + \frac{43}{2} O_{2}[/tex] → [tex]15CO_{2} + 13H_{2}O[/tex]

  • Now, as per this balanced equation, when both 1:1 mole ratio of octane and toluene reacts, then 15 moles of CO2 is produced and 13 moles of H2O.
  • As per question, moles of CO2 = 1.35× moles of H2O.
  • To obtain this ratio, the coefficients are set as-

[tex]1.5C8H18 + C7H8 + 25.5O2[/tex]→[tex]19CO2 + 13H2O+ 4.5H2[/tex]

  • We know that 3 moles of the octane react with 2 moles of the toluene.  So we can set up fractions and ratios to figure out the masses of each. Thus, 3+2= 5 parts total of the mixture.
  • Octane's part is 3/5 for the moles.

[tex]0.6* 201\ g= 120.6\ g\ of\ Octane.[/tex]

[tex]Mass of toluene = 157- 120.6 = 36.4 g[/tex]

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The answer is C8H18 = 120.6 and C7H8 = 36.4 g

Hydrocarbons produce carbon dioxide and water on combustion in presence of air.

  • Write the balanced combustion reaction of a mixture of octane and toluene.
  • As both octane and toluene are hydrocarbons , they give carbon dioxide and water as the products.
  • Now, as per this balanced equation, when both 1:1 mole ratio of octane and toluene reacts, then 15 moles of CO2 is produced and 13 moles of H2O.
  • As per the uestion, moles of CO2 = 1.35× moles of H2O.

To obtain this ratio, the coefficients are set as:

We know that 3 moles of the octane react with 2 moles of the toluene.  So we can set up fractions and ratios to figure out the masses of each. Thus, 3+2= 5 parts total of the mixture.

Octane's part is 3/5 for the moles.

To learn more about the combustion of hydrocarbons, visit:

https://brainly.com/question/3369193?referrer=searchResults

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