In a cosmetic factory, it is desired to produce a hand cream by mixing oil phase (olive oil and oil soluble surfactant, Brij92) and water phase, as given in the Fig. Q2.1. The resultant mixture is an emulsion, where oil phase is dispersed within continuous water phase, in form of very tiny drops. For this mixing system, a) Find the density and viscosity of the resultant mixture. [5 pts] b) The characteristic average drop size of dispersed phase is measured as 1 um in the resultant emulsion. What will be the required minimum surface energy (in Joule) to produce 100 dm3 emulsion in this system, if the interfacial tension between two phases is 1 mN/m by the addition of Brij92? [5 pts] Aqueous Oil Phase Phase (Olive Oil + Brij92) (Water) Figure illustration of mixing system for mixing two immiscible liquids Q2.1. schematic Data: Density Viscosity (cP) Molecular Weight (kg/kmol) Volume Fraction Component (-) (kg/m') Olive Oil 0.15 917 84 1382 Brij 92 0.15 890 6.9 312 Water 0.70 1000 1 18 Table Q2.1. Shear stress shear rate data of the emulsion measured with a rheometer Shear Rate (s-) Shear Stress (Pa) 1 1.15 10 1.27 25 1.34 50 1.40 75 1.44 100 1.47 200 1.56 300 1.62 400 1.67 500 1.71 600 1.74 700 1.77 800 1.80 900 1.82 1000 1.84