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The combustion of which fuel provides the most energy per 100 g? A - VCE - SSCE Chemistry - Question 22 - 2020 - Paper 1

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The combustion of which fuel provides the most energy per 100 g? A. pentane (M = 72 g mol<sup>-1</sup>), which releases 49097 MJ tonne<sup>-1</sup> B. nitromethane (... show full transcript

Worked Solution & Example Answer:The combustion of which fuel provides the most energy per 100 g? A - VCE - SSCE Chemistry - Question 22 - 2020 - Paper 1

Step 1

B. nitromethane (M = 61 g mol<sup>-1</sup>), which releases 11.63 kJ g<sup>-1</sup>

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Answer

To determine the energy released per 100 g of each fuel, we can use the following equation:

ext{Energy (per 100 g)} = ext{Molar mass} imes ext{Energy released per mol} imes rac{100 ext{ g}}{ ext{Molar mass}}

Calculating for each fuel:

  1. Pentane:

    • Molar Mass (M) = 72 g mol<sup>-1</sup>
    • Energy released = 49097 MJ tonne<sup>-1</sup> = 49097 × 10<sup>3</sup> kJ tonne<sup>-1</sup>
    • Energy for 100 g = (\frac{49097 \times 10^3}{1000} = 49097 \text{ kJ} ) (as 1 tonne = 1000 kg)
  2. Nitromethane:

    • M = 61 g mol<sup>-1</sup>
    • Energy released = 11.63 kJ g<sup>-1</sup>
    • Energy for 100 g = 11.63 × 100 = 1163 kJ
  3. Butanol:

    • M = 74 g mol<sup>-1</sup>
    • Energy released = 2670 kJ mol<sup>-1</sup>
    • Energy for 100 g = (\frac{100}{74} \times 2670 = 3605.41 \text{ kJ} )
  4. Ethyne:

    • M = 26 g mol<sup>-1</sup>
    • Energy released = 1300 kJ mol<sup>-1</sup>
    • Energy for 100 g = (\frac{100}{26} \times 1300 = 5000 \text{ kJ} )

Conclusion:

To compare:

  • Pentane: 49097 kJ
  • Nitromethane: 1163 kJ
  • Butanol: 3605.41 kJ
  • Ethyne: 5000 kJ

Thus, the fuel that provides the most energy per 100 g is nitromethane.

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