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