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A product at \( 4.0 \) kg water per kg dry matter has an equilibrium moisture of \( 0.12 \) on the same basis. Its free moisture content is

  • A.33.3 kg per kg
  • B.3.88 kg per kg
  • C.4.12 kg per kg
  • D.0.12 kg per kg

Answer: B

Correct answer: 3.88 kg per kg

Free moisture is the moisture present above the equilibrium value:

\[ X_{free} = X - X_{eq} = 4.00 - 0.12 = 3.88\ \mathrm{kg\ water\ per\ kg\ dry\ matter} \]

The distractor \( 4.12 \) adds instead of subtracting. Only the free moisture can be removed in air of this condition: drying rate curves fall to zero as the free moisture approaches zero, leaving the \( 0.12 \) behind however long the dryer runs.

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