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You are designing a medical device to collect

Carcinoembryonic Antigen (CEA, MW = 180,000 g

mol^-1), a tumor marker, from patients in order to create a personalized cancer vaccine. In this medical device, the cellular components of the blood are removed from the plasma. The plasma then flows into an extraction chamber. Within this chamber, the fluid flow divides into 48,000 10-cm long tubes with an inside diameter of 175 um. The surface of each tube is coated with a material that very rapidly adsorbs CEA. Plasma containing 6.1 ug m1^-1 of CEA flows into the chamber at 125 ml min^-1. Assume that the fluids are at body temperature (37°C). The viscosity and density of water at 37°C are 0.691 cP and 0.993 g/ cm^3, respectively.

A) Estimate the diffusivity of CEA within the extraction chamber?

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