Question #258257
A mixture containing 10%ethanol and 90% water by weight is fed into a distillation column at the rate of 114.1kg/h.The distillate contains 76.4%ethanol and the distillate is produced at the rate of one tenth of that of the feed.perfom material balance and calculate the percentage of ethanol in the bottom.
1
Expert's answer
2021-10-29T02:32:55-0400


mass of mixture = 106.26kg/hr

10% of the mixture is ethanol = 10.626 kg

number of moles of ethanol = 10626g46g/mol\dfrac{10626\text{g} }{46\text{g/mol}}

= 231 moles


90% of the mixture is water = 95.634 kg

number of moles of water = 95634g18g/mol\dfrac{95634\text{g}}{18\text{g/mol}}

= 5313 moles


Total number of moles = 231 + 5313 = 5544 moles


mole fraction of ethanol = 231/5544 = 0.0417

mole fraction of water = 5313/5544 = 0.9583


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