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A water desalination company is crystallising the solution obtained from the retentate of the reverse osmosis unit. The highly concentrated solution is fed into a

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A water desalination company is crystallising the solution obtained from the retentate of the reverse osmosis unit. The highly concentrated solution is fed into a cooling crystallizer to precipitate the salt present in the solution. The crystallizer used operates continuously and is modelled as a Mixed Suspension Mixed Product Removal (MSMPR) unit. The feed of the crystallizer unit is at a temperature ( T in) of 24 degrees Celsius. Assume the crystallizer unit is at steady state and operates at 12 degrees Celsius. Also, the crystals have a cubic shape. Solubility of salt at 12C=12wt% Density of water =1103kgm3, Density of salt =1998kgm3 and Q1: Calculate the steady fluid phase concentration and the supersaturation at which the crystallizer operates. Q2: Calculate the production rate of crystals (in mass per unit time) and the dominant length of the crystal obtained at steady-state operation. Data to be used: Estimated kinetic parameters and system's temperature (T) : Nucleation: Wnucl=6107m3h1Vnucl=1.875K Growth: Wgrowth=7104mh1Vgrowth=3.145K Rate equations for the kinetics of nucleation and growth of the salt respectively: J=WnuclSe[T(lnS)2Vnucl] G=Wgrowth(S1)e[T(S1)Vgrowth], ' S ' is the supersaturation of the mother phase where S=c/ceq ) and T is the temperature of the system. A water desalination company is crystallising the solution obtained from the retentate of the reverse osmosis unit. The highly concentrated solution is fed into a cooling crystallizer to precipitate the salt present in the solution. The crystallizer used operates continuously and is modelled as a Mixed Suspension Mixed Product Removal (MSMPR) unit. The feed of the crystallizer unit is at a temperature ( T in) of 24 degrees Celsius. Assume the crystallizer unit is at steady state and operates at 12 degrees Celsius. Also, the crystals have a cubic shape. Solubility of salt at 12C=12wt% Density of water =1103kgm3, Density of salt =1998kgm3 and Q1: Calculate the steady fluid phase concentration and the supersaturation at which the crystallizer operates. Q2: Calculate the production rate of crystals (in mass per unit time) and the dominant length of the crystal obtained at steady-state operation. Data to be used: Estimated kinetic parameters and system's temperature (T) : Nucleation: Wnucl=6107m3h1Vnucl=1.875K Growth: Wgrowth=7104mh1Vgrowth=3.145K Rate equations for the kinetics of nucleation and growth of the salt respectively: J=WnuclSe[T(lnS)2Vnucl] G=Wgrowth(S1)e[T(S1)Vgrowth], ' S ' is the supersaturation of the mother phase where S=c/ceq ) and T is the temperature of the system

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