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Air enters a dryer at a humidity ratio of \( 0.010 \) and leaves at \( 0.022 \) kg per kg dry air. To evaporate \( 60 \) kg of water the dry air required is

  • A.2727 kg
  • B.600 kg
  • C.1200 kg
  • D.5000 kg

Answer: D

Correct answer: 5000 kg

Each kilogram of dry air picks up the difference between the outlet and inlet humidity ratios:

\[ \Delta W = 0.022 - 0.010 = 0.012\ \mathrm{kg\ water\ per\ kg\ dry\ air} \]

\[ m_{air} = \frac{60}{0.012} = 5000\ \mathrm{kg\ dry\ air} \]

The distractor \( 2727 \) divides by the outlet humidity alone, ignoring the moisture the air already carried in. The calculation shows how large the air flow must be: five tonnes of air to remove sixty kilograms of water, which is why fan power is a significant part of a dryer's energy budget.

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