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A gas of calorific value 4500 kcal/m\( ^3 \) burnt at 20 m\( ^3 \)/h delivers

  • A.90 000 kcal/h
  • B.9000 kcal/h
  • C.225 kcal/h
  • D.900 000 kcal/h

Answer: A

Correct answer: 90 000 kcal/h

Rate of heat release is the calorific value times the volumetric rate: \[ 4500\ \frac{\text{kcal}}{\text{m}^3} \times 20\ \frac{\text{m}^3}{\text{h}} = 90\,000\ \text{kcal/h.} \] The check is dimensional - the cubic metres cancel and kcal per hour remains, which is the only one of the four options with that magnitude.

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