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100 kg of a solution of KNO3 in water that is 70/30 by mass is cooled...

100 kg of a solution of KNO3 in water that is 70/30 by mass is cooled from 95oC to 30oC in a crystallizer. There are two streams from the crystallizer: one stream containing a saturated solution that is discarded as waste, and another product stream that contains both a filter cake of pure KNO3 and saturated solution. The mass ratio of filter cake to saturated solution in the second stream is 90:10. This product stream is then sent to an evaporator where the water is removed to obtain pure KNO3. If the solubility limit of KNO3 at 30oC is 47g KNO3 per 100g water, what is the mass of KNO3 recovered by this method?

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