Question
Assume that the energy released during the combustion of methane is 900 kJ/mol. Its carbon intensity is
The correct answer is
13.3 gc/MJ
To find the carbon intensity of methane, we can follow these steps:
- Calculate the mass of carbon in 1 mole of methane (CH4).
Methane (CH4) consists of 1 carbon atom and 4 hydrogen atoms. The atomic mass of carbon is approximately 12 g/mol, while that of hydrogen is about 1 g/mol. Therefore, the mass of carbon in 1 mole of methane is:
- 12 g/mol
- Determine the energy released per mole of methane.
This is given in the question as 900 kJ/mol.
- Convert the energy from kJ to MJ since the carbon intensity is expressed in gc/MJ.
1 MJ = 1000 kJ, so:
- Energy = 900 kJ/mol = 0.9 MJ/mol
- Calculate the carbon intensity, which is the mass of carbon per unit of energy released:
Carbon intensity = \(\frac{12 \text{ g/mol}}{0.9 \text{ MJ/mol}}\)
By performing the division:
- Carbon intensity = \(13.33 \text{ g/MJ}\)
Hence, the carbon intensity of methane is approximately 13.3 gc/MJ. Therefore, the correct answer is:
- 13.3 gc/MJ
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