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By Dulong's formula, a coal of C 80, H 5, O 8 and S 2 per cent has a gross calorific value of about

  • A.7889 kcal/kg
  • B.6464 kcal/kg
  • C.8080 kcal/kg
  • D.7625 kcal/kg

Answer: A

Correct answer: 7889 kcal/kg

Dulong’s formula weights each combustible element by its own calorific value, with the same correction for combined oxygen: \[ \mathrm{GCV} = 8080\,C + 34500\left(H - \frac{O}{8}\right) + 2240\,S \] \[ = 8080(0.80) + 34500(0.04) + 2240(0.02) \] \[ = 6464 + 1380 + 44.8 = 7889\ \text{kcal/kg.} \] The distractor 6464 is the carbon term alone, and 8080 is the constant itself.

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