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A miscella contains \( 25 \) per cent oil by mass. To recover \( 200 \) kg of oil, the mass of miscella to be distilled is

  • A.800 kg
  • B.250 kg
  • C.50 kg
  • D.500 kg

Answer: A

Correct answer: 800 kg

The oil is a quarter of the miscella by mass, so the miscella needed is four times the oil wanted:

\[ m = \frac{200}{0.25} = 800\ \mathrm{kg} \]

The other 600 kg is solvent, which the distillation must evaporate and the condenser recover for reuse. That ratio is the reason miscella concentration matters so much to plant economics: a weaker miscella means more solvent circulated, more steam in the distillation and more cooling water, for the same oil.

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