ZnO solid particles are going to be dispersed in glycerin in a mixing tank using Anchor...

 

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ZnO solid particles are going to be dispersed in glycerin in a mixing tank using Anchor type impeller, before being added to a cosmetic cream. Initially, the agitation is performed in a lab scale volume of 0.05 m³. Mole fraction of ZnO in the system is 0.47 and that of glycerin is 0.53. Considering Laminar mixing conditions, a) Calculate all the dimensions of the impeller and mixing tank. b) Calculate the density and viscosity of the resultant mixture. Is the anchor type impeller a good choice, why? c) Calculate the required power for the impeller with a rotational speed of 108 rpm. d) Scale-up your agitating system for a final mixture of 1 m³ by maintaining constant power per unit volume and geometric similarity. Find the new dimensions of the mixing system and the new impeller speed (in "rps") considering Laminar mixing conditions. Note: For Anchors, K₁ = 300 and KT = 0.35 Data: Physical properties of the components Glycerin ZnO Molecular weight (g/mol) 92 81 Density (kg/m3) 1261 5607 Viscosity (CP) 1490 Gas Mixtures and miscible liquid mixtures: Pmixture = mixture 72 PX; x; mole fraction of species i VISCOSITY OF MIXTURES Subscripts d and c indicates dispersed and continuous phases, respectively Gas mixtures: mixture Σν.μ.(Μ.)1/2 wi i=1 11 Σ» (Μ.)1/2 i=1 M: molecular weight of component i. Immiscible Liquids: +0.4μc - 1/2+2.35, ( 146 +0.4146² Ha + Ho Ho 1.5μ. HatH 1-xa x volume fraction of dispersed phase -yi: mole fraction of component i; 1+Xa DENSITY OF MIXTURES }] M Immiscible liquid mixtures: Pmixture Paxa+Pxx and xe: volume fraction of dispersed and continuous phases, respectively. x ≤0.03 xa> 0.03 = Miscible Liquid mixtures: = 2x₁14²/3 i=1 1/3 ture Xi mole fraction of component i Solid-Liquid Mixtures: 1+0.5xd mixture He (1-x₂)+ Xa: volume fraction of dispersed phase ;x<0.5 ZnO solid particles are going to be dispersed in glycerin in a mixing tank using Anchor type impeller, before being added to a cosmetic cream. Initially, the agitation is performed in a lab scale volume of 0.05 m³. Mole fraction of ZnO in the system is 0.47 and that of glycerin is 0.53. Considering Laminar mixing conditions, a) Calculate all the dimensions of the impeller and mixing tank. b) Calculate the density and viscosity of the resultant mixture. Is the anchor type impeller a good choice, why? c) Calculate the required power for the impeller with a rotational speed of 108 rpm. d) Scale-up your agitating system for a final mixture of 1 m³ by maintaining constant power per unit volume and geometric similarity. Find the new dimensions of the mixing system and the new impeller speed (in "rps") considering Laminar mixing conditions. Note: For Anchors, K₁ = 300 and KT = 0.35 Data: Physical properties of the components Glycerin ZnO Molecular weight (g/mol) 92 81 Density (kg/m3) 1261 5607 Viscosity (CP) 1490 Gas Mixtures and miscible liquid mixtures: Pmixture = mixture 72 PX; x; mole fraction of species i VISCOSITY OF MIXTURES Subscripts d and c indicates dispersed and continuous phases, respectively Gas mixtures: mixture Σν.μ.(Μ.)1/2 wi i=1 11 Σ» (Μ.)1/2 i=1 M: molecular weight of component i. Immiscible Liquids: +0.4μc - 1/2+2.35, ( 146 +0.4146² Ha + Ho Ho 1.5μ. HatH 1-xa x volume fraction of dispersed phase -yi: mole fraction of component i; 1+Xa DENSITY OF MIXTURES }] M Immiscible liquid mixtures: Pmixture Paxa+Pxx and xe: volume fraction of dispersed and continuous phases, respectively. x ≤0.03 xa> 0.03 = Miscible Liquid mixtures: = 2x₁14²/3 i=1 1/3 ture Xi mole fraction of component i Solid-Liquid Mixtures: 1+0.5xd mixture He (1-x₂)+ Xa: volume fraction of dispersed phase ;x<0.5

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