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4 The amount of oxygen transferred to the anterior chamber of the eye through the cornea varies considerably depending on whether a contact lens is

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4 The amount of oxygen transferred to the anterior chamber of the eye through the cornea varies considerably depending on whether a contact lens is worn or not. Treat the eye as a spherical system, and assume that mass transfer between the cornea and the anterior chamber, and between the surroundings and the eye occurs by convection, characterized by mass transfer coefficients ko and ki (see figure). The system is at steady state and the cornea and the lens cover one-third of the spherical surface area. Determine the mole transfer rate of oxygen ( mol/s) between the surroundings and the eye's anterior chamber with and without the contact lens in place. The partition coefficient of oxygen between the air and the cornea is KP=ccomeacair=10.5 Assume that this is also the partition coefficient of oxygen between air and the contact lens. Dimensions: r1=10.2mm,r2=12.7mm,r3=16.5mm Oxygen concentrations: cl0,c0=0.01mol/L Mass transfer coefficients: ki=0.3cm/s,ko=1cm/s Diffusivities of oxygen: D1=1.2105cm2/s (cornea) D2=7.6107cm2/s (contact lens)

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