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Fuel of calorific value \( 42 \) MJ/kg is burnt at \( 14 \) kg per hour in a dryer evaporating \( 190 \) kg of water per hour. The specific energy consumption is

  • A.3.09 MJ per kg of water
  • B.2.30 MJ per kg of water
  • C.13.6 MJ per kg of water
  • D.0.32 MJ per kg of water

Answer: A

Correct answer: 3.09 MJ per kg of water

The heat supplied per hour is the fuel rate times its calorific value, and the specific energy consumption divides that by the water evaporated:

\[ Q = 42 \times 14 = 588\ \mathrm{MJ/h} \]

\[ SEC = \frac{588}{190} = 3.09\ \mathrm{MJ\ per\ kg\ of\ water} \]

Against the latent heat of \( 2.3 \) MJ/kg this corresponds to an efficiency of about 74 per cent, which is good for a direct-fired dryer. The distractor \( 2.30 \) is the latent heat itself - the theoretical floor, not the actual consumption.

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