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(25 pts) Transporting Prescription Drugs via Air Freight (Note: A very real problem) Solutions of high value drug formulations are often packaged into sterile syringes

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(25 pts) Transporting Prescription Drugs via Air Freight (Note: A very real problem) Solutions of high value drug formulations are often packaged into sterile syringes so that the patient can inject the drug formulation directly into the body and then throw away the syringe. Often, the drug-loaded syringes are shipped by air freight to customers. There is a concern that the low temperatures associated with the air freight cargo area can promote the precipitation of the drug from solution. A certain monoclonal antibody is known to precipitate from its delivery solution at 2C. The cargo area in the airplane used by the air freight company is maintained at 0C. Initially, the syringe is at a uniform temperature of 25C. In the cargo area, the convective heat transfer coefficient of air surrounding the syringe is h=0.86W/m2K. The syringe barrel containing the liquid is glass with D=0.70cm and L=8.0cm. You may assume the glass provides little resistance. Drug Solution Properties: k=0.30W/mK,=1.0g/cm3,Cp=2000J/kgK,=1.5107m2/s Question: If the air flight time is 3.5hrs, will the drug completely precipitate in that time? Sketch and Label Problem. Clearly state assumptions and show calculations, including units

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