Mass Transfer Question

Please Show All Your Work

2) Ching and Ruthven (1985) found that the equilibrium of glucose on an ion-exchange resin in the calcium form was linear for concentrations below 50 g/L. Their equilibrium expression at 303 K is YAi = 1 .961XA,, where XAj is the glucose concentration in the resin (g of glucose per liter of resin) and YAj is the glucose concentration in solution (g of glucose per liter of solution).

(a) We wish to sorb glucose onto this ion-exchange resin at 303 K in a countercurrent cascade of ideal stages. The concentration of the feed solution is 15 g/L. We want an outlet concentration of 1 .O g/L. The inlet resin contains 0.25 g of glucose/L. The feed solution flows at the rate of 100 L/min, while the resin flows at the rate of 250 L/min. Find the number of equilibrium stages required.

(b) If five equilibrium stages are added to the cascade of part (a), calculate the resin flow required to maintain the same degree of glucose sorption.