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9 . 3 Batch Crystallizer with Constant Rate of Diluent Addition For a solute being crystallized by batch crystallization with a constant rate of change

9.3 Batch Crystallizer with Constant Rate of Diluent Addition
For a solute being
crystallized by batch crystallization with a constant rate of change of diluent concentra-
tion, predict the effect on the crystal size at any given time for each of the changes in
the variables given. Justify your answers based on an expression for the crystal size as
a function of these variables.
(a) An increase in the nucleation rate
(b) An increase in the growth rate
(c) An increase in the supersaturation, for b[Equation (9.2.2)] greater than g[Equation
(9.2.3)]
(d) An increase in km in the equation dcddt=km, where cd is the diluent concentration
(e) An increase in kp[Equation (9.3.1)]9.3 Batch Crystallizer with Constant Rate of Diluent Addition For a solute being
crystallized by batch crystallization with a constant rate of change of diluent concentra-
tion, predict the effect on the crystal size at any given time for each of the changes in
the variables given. Justify your answers based on an expression for the crystal size as
a function of these variables.
(a) An increase in the nucleation rate
(b) An increase in the growth rate
(c) An increase in the supersaturation, for b[Equation (9.2.2)] greater than g[Equation
(9.2.3)]
(d) An increase in km in the equation dcddt=km, where cd is the diluent concentration
(e) An increase in kp[Equation (9.3.1)]
(9.2.1)B=dNdt=kn(c-c**)n
(9.2.2)B=dNdt=k1MTj(c-c**)b
(9.2.3)R=1AdWdt=kG(c-c**)g
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