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Four fuels undergo complete combustion in excess oxygen, O₂, and the energy released is used to heat 1000 g of water - VCE - SSCE Chemistry - Question 22 - 2018 - Paper 1

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Four fuels undergo complete combustion in excess oxygen, O₂, and the energy released is used to heat 1000 g of water. Assuming there is no energy lost to the environ... show full transcript

Worked Solution & Example Answer:Four fuels undergo complete combustion in excess oxygen, O₂, and the energy released is used to heat 1000 g of water - VCE - SSCE Chemistry - Question 22 - 2018 - Paper 1

Step 1

Calculate the energy required to heat the water

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Answer

To find the energy required to raise the temperature of the water, use the formula:

Q=mcΔTQ = mc\Delta T

Where:

  • QQ = heat energy (in Joules)
  • mm = mass of water (1000 g = 1 kg)
  • cc = specific heat capacity of water (4.18 J/g°C)
  • ΔT\Delta T = change in temperature (85.0 °C - 25.0 °C = 60.0 °C)

Thus,

Q=1000g×4.18Jg°C×60.0°C=250800JQ = 1000 g \times 4.18 \frac{J}{g°C} \times 60.0 °C = 250800 J

Step 2

Determine the energy released from each fuel during combustion

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Answer

Using the combustion heats:

  • Hydrogen (H₂): Standard enthalpy change is approximately -286 kJ/mol.
  • Propane (C₃H₈): Approximately -2040 kJ/mol.
  • Methane (CH₄): Approximately -890 kJ/mol.
  • Methanol (CH₃OH): Approximately -726 kJ/mol.

Then convert these to energy released per gram or mole as necessary.

Step 3

Evaluate each fuel based on the needed heat

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Answer

Calculate the energy released for each option based on the amounts given and compare:

  • For hydrogen:

    • 0.889g0.889g2g/mol×286kJ/mol126.4kJ0.889 g \approx \frac{0.889 g}{2 g/mol} \times -286 kJ/mol \approx -126.4 kJ
  • For propane:

    • 3.95g3.95g44g/mol×2040kJ/mol183.1kJ3.95 g \approx \frac{3.95 g}{44 g/mol} \times -2040 kJ/mol \approx -183.1 kJ
  • For methane:

    • 0.282mol0.282mol×890kJ/mol250.3kJ0.282 mol \approx 0.282 mol \times -890 kJ/mol \approx -250.3 kJ
  • For methanol:

    • 0.301mol0.301mol×726kJ/mol218.4kJ0.301 mol \approx 0.301 mol \times -726 kJ/mol \approx -218.4 kJ

Compare the energy released with 250.8 kJ. Only methanol (D) releases sufficient energy.

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