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
Question 22
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=mcΔT
Where:
Q = heat energy (in Joules)
m = mass of water (1000 g = 1 kg)
c = specific heat capacity of water (4.18 J/g°C)
ΔT = change in temperature (85.0 °C - 25.0 °C = 60.0 °C)
Thus,
Q=1000g×4.18g°CJ×60.0°C=250800J
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:
0.889g≈2g/mol0.889g×−286kJ/mol≈−126.4kJ
For propane:
3.95g≈44g/mol3.95g×−2040kJ/mol≈−183.1kJ
For methane:
0.282mol≈0.282mol×−890kJ/mol≈−250.3kJ
For methanol:
0.301mol≈0.301mol×−726kJ/mol≈−218.4kJ
Compare the energy released with 250.8 kJ. Only methanol (D) releases sufficient energy.