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A sample of the hydrocarbon C₆H₁₂ is completely burned in dry oxygen and the product gases are collected as shown - CIE - A-Level Chemistry - Question 3 - 2018 - Paper 1

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A sample of the hydrocarbon C₆H₁₂ is completely burned in dry oxygen and the product gases are collected as shown. product gases, H₂O + CO₂ + excess of O₂ P the... show full transcript

Worked Solution & Example Answer:A sample of the hydrocarbon C₆H₁₂ is completely burned in dry oxygen and the product gases are collected as shown - CIE - A-Level Chemistry - Question 3 - 2018 - Paper 1

Step 1

What is the ratio Mₚ/Mₒ?

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Answer

To find the ratio Mₚ/Mₒ, we can analyze the complete combustion of the hydrocarbon C₆H₁₂:

  1. Balanced Equation: The combustion of C₆H₁₂ can be expressed as:

    C6H12+9O26CO2+6H2OC_6H_{12} + 9O_2 \rightarrow 6CO_2 + 6H_2O

    From this equation, we see that 1 mole of C₆H₁₂ yields 6 moles of CO₂ and 6 moles of H₂O.

  2. Understanding the Mass Increase:

    • Vessel P absorbs the water (H₂O), contributing to the mass increase of Mₚ.
    • Vessel Q absorbs the carbon dioxide (CO₂), contributing to the mass increase of Mₒ.
  3. Mole Relationships: The increase in mass for each vessel can be related to the moles produced:

    • Mₚ corresponds to the mass increase due to water produced:

      Mp=6imes(18extg/mol)=108extgMₚ = 6 imes (18 ext{ g/mol}) = 108 ext{ g}

    • Mₒ corresponds to the mass increase due to carbon dioxide produced:

      Mo=6imes(44extg/mol)=264extgMₒ = 6 imes (44 ext{ g/mol}) = 264 ext{ g}

  4. Calculating the Ratio:

    The ratio Mₚ/Mₒ becomes:

    MpMo=108264=12.440.41\frac{Mₚ}{Mₒ} = \frac{108}{264} = \frac{1}{2.44} ≈ 0.41

  5. Conclusion: Therefore, the required ratio Mₚ/Mₒ is approximately 0.41.

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