100 tonnes hr–1 of an otherwise insoluble solid with 20% w/w Na2CO3 is to be leached and washed with water in a continuous, counter-current system. 98% of the Na2CO3 is to be recovered in an extract which is 15% solute. The underflow from each stage is 1 kg solution per 2 kg insoluble solids. If the leaching takes place entirely in the first stage, how many ideal stages are needed in total?

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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100 tonnes hr–1 of an otherwise insoluble solid with 20% w/w Na2CO3 is
to be leached and washed with water in a continuous, counter-current
system. 98% of the Na2CO3 is to be recovered in an extract which is
15% solute. The underflow from each stage is 1 kg solution per 2 kg
insoluble solids. If the leaching takes place entirely in the first stage,
how many ideal stages are needed in total?

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