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A column feed of 100 moles per hour containing 40 mole per cent of the light component gives a distillate of 90 per cent and bottoms of 10 per cent. What is the distillate flow?

  • A.37.5 moles per hour
  • B.40 moles per hour
  • C.44.4 moles per hour
  • D.50 moles per hour

Answer: A

Correct answer: 37.5 moles per hour

Total and light-component balances together give the lever rule: \[ D = F\,\frac{x_F - x_B}{x_D - x_B} = 100\times\frac{0.40-0.10}{0.90-0.10} = 100\times\frac{0.30}{0.80} = 37.5\ \mathrm{mol/h}. \] The check is that the bottoms are then 62.5 mol/h, and \( 37.5\times0.9 + 62.5\times0.1 = 40 \), which is the light component fed.

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