You are working for amedical device start-up company as a design engineer. Your first task ist o make measurements on the flowo fblood plasma through your prototype. The device specifications require

that 37°C plasma flow into the device pass through a bank of 100tubes (0.2mm diameter), then exit the device. The total flowrate for thedevice must be 800 ml min^-1 . If you want to maintain a pressure drop across each tube below 100 pascals, what is the maximum length of the tube in centimeters? State and

justify all assumptions as strongly as possible.

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. The diffusivity of CEA inside the extraction chamber is 6.1 × 10^-6 cm^2/s and the mass transfer coefficient for CEA

inside the device is: k = 1.25 x 10^-5 cm s^-1.

•If you run the extraction for 1 hour and extract 31.7 mg of CEA, what must be the concentration of CEA in the device exit?

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.

_what is the mass transfer coefficient (cm s^-1) for

CEA inside the device ?

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. The diffusivity of CEA inside the extraction chamber is 6.1 × 10^-6 cm^2/s and the mass transfer coefficient for CEA inside the device is: k = 1.25 x 10^-5 cm s^-1.

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

B) What is the mass transfer coefficient (cms^-1) for CEA inside the device ?

C) If you run the extraction for 1 hour and extract 31.7 mg of CEA, what must be the concentration of CEA in the device exit?