anonymous
  • anonymous
Please help me out. :) Coconut water can be concentrated to 20% solids by freeze concentration wherein water freezes and leaves most of the solid constituent in the liquid portion. Compound water normally contains 1.5% solids. How kg product (20% solids) can be obtained from 1000L of fresh coconut water if every kg of water frozen carries with it, 0.01 kg of liquid solution. Assume a density of 1 g/cm^3 for all liquids.
Mathematics
chestercat
  • chestercat
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mathmate
  • mathmate
|dw:1440680346005:dw| If I understand right, the picture is as above. Original concentration = 1.5% = 15 kg/1000 L total solid before freezing = 15 kg Let x= volume of liquor (that is not frozen) mass of solid in 20% liquor = 0.20x mass of solid in 1% frozen portion = 0.01(1000-x) total solid after freezing = 0.20x+10-0.01x = 0.19x + 10 kg Equate solids before and after freezing 15 kg = 0.19x + 10 x=5/0.19 = 26.3 L = 26.3 kg (approx. if all liquids have density 1.0 g/mL)

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