Feed to a cooling crystallizer is 2,000 kg/h of 30 wt% Na2SO4 in water at 40oC. This solution is to be cooled to a temperature at which 50% of the solute crystallizes as decahydrate. Estimate the required heat-transfer area in m2 if an overall heat-transfer coefficient of 15 Btu/h-ft2 - oF can be achieved. Assume a constant specific heat for the solution of 0.80 cal/g-oC. Cooling water at 10oC flows countercurrently to the solution, and exits at a temperature that gives a log mean driving force of at least 10oC.

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