State all assumptions used. please don't skip steps. Mass transfer...

State all assumptions used. please don't skip steps. Mass transfer

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Operation of Batch Mixers: A viscous aqueous solution {density of the liquid pL = 1500 kgfmi viscosity of the liquid pi; = 0.01 Pas) containing spherical sucrose particles of initial radius HI, = 6 mm is agitated in a tank of diameter (if = 2 m filled to a height HT = 2 m. A six-bladed turbine with diameter of the impeller (ii = 0.5 m rotates at a rotational speed N = 90 rpm. The tank is baffled, and the system corresponds to the so-called standard turbine configuration. The tank can be considered large enough that the bulk concentration of sucrose is negligible. For this configuration, Kulov et a1. (Chem. Eng. Commun, 21, 259 (1933)) suggested a correlation for Sherwood number Sh for mass transfer to particles in stirred tanks as 4 if! Sh *- k'dT = 0.2673c1a'4393-"N1" (fl) _ I)" P Yd!- 1Where Reynolds number He, Schmidt number Sr: and power number Np are defined as R N dig S vL N P "L 3.43 P FLNgdiS Where, "1.1 kinematic viscosity of the liquid V: liquid volume in the vessel P: mixing power a] [6 points] What is the expected mass transfer coefficient kc (in mfs] between the agitated liquid and the solid particles immersed in the liquid? For this configuration, M; = 6. The diffusion coefficient of the dissolved solute in the liquid I)" is 3 x 10'1" mzfs. b) [9 points] Assuming pseudo-steady operation. find the time to dissolve 10% of the initial mass of sucrose. The density and solubility in water of sucrose are given as p3 = 1600 lag/m3 and CE = 1300 kgg'mS.

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