Discussion
For a coal of C 80, H 5, O 8, S 2 and ash 5 per cent, the theoretical oxygen per kg of coal is about
Answer: B
Correct answer: 2.48 kg
Use the three ratios, subtracting the oxygen the fuel already contains: \[ \mathrm{O_2} = 2.67\,C + 8\left(H - \frac{O}{8}\right) + S \] \[ = 2.67(0.80) + 8\left(0.05 - \frac{0.08}{8}\right) + 0.02 \] \[ = 2.136 + 8(0.04) + 0.02 = 2.48\ \text{kg.} \] The bracket is the key step: only the hydrogen not already combined with the fuel’s own oxygen needs air, and 0.08 kg of oxygen accounts for 0.01 kg of hydrogen.
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