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100 cm³ of propane is mixed with 600 cm³ of oxygen and the mixture is ignited - Scottish Highers Chemistry - Question 18 - 2019

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100 cm³ of propane is mixed with 600 cm³ of oxygen and the mixture is ignited. C₃H₈(g) + 5O₂(g) → 3CO₂(g) + 4H₂O(g) At the end of the reaction, the total volume of... show full transcript

Worked Solution & Example Answer:100 cm³ of propane is mixed with 600 cm³ of oxygen and the mixture is ignited - Scottish Highers Chemistry - Question 18 - 2019

Step 1

Determine the initial volumes

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Answer

The initial volumes of gases involved in the reaction are:

  • Propane (C₃H₈): 100 cm³
  • Oxygen (O₂): 600 cm³

Step 2

Identify the limiting reagent

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Answer

According to the balanced equation, 1 mole of propane reacts with 5 moles of oxygen. Thus, for 100 cm³ of propane, the required amount of oxygen is:

100extcm3imes5=500extcm3100 ext{ cm}^3 imes 5 = 500 ext{ cm}^3

Since we have 600 cm³ of oxygen, propane is the limiting reagent.

Step 3

Calculate the volumes after the reaction

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Answer

After the reaction, propane is consumed entirely, producing:

  • Carbon dioxide (CO₂): 3 moles for every 1 mole of propane = 300 cm³ (as 1 mole can be approximated to 100 cm³ in volume)
  • Water (H₂O): The water produced will be in vapor form, but it is excluded from the total gas volume since it condenses after cooling.

Total volume of gas after the reaction:

extTotalgas=extInitialtotalextUsedoxygen ext{Total gas} = ext{Initial total} - ext{Used oxygen}

Initial total gas = 100 cm³ (C₃H₈) + 600 cm³ (O₂) = 700 cm³

Used oxygen = 500 cm³

Total gas after reaction = 700 cm³ - 500 cm³ = 200 cm³ of remaining oxygen + 300 cm³ of carbon dioxide = 400 cm³.

Step 4

Final answer

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Answer

Therefore, at the end of the reaction, the total volume of gas would be 400 cm³ (Option B).

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