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A patch has been designed to release a drug to treat airsickness. The patch is applied at the time of the flight and is worn

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A patch has been designed to release a drug to treat airsickness. The patch is applied at the time of the flight and is worn until the flight is over. The patch is rectangular with a thickness of 2mm. The drug is initially at a concentration of 30mM. Assume that the concentration in the adjacent skin is zero. The diffusion coefficient of the drug in the patch is 1108cm2/s. The manufacturer must have the release rate above 0.51010mol/s to ensure that there is enough drug in the bloodstream for the drug to be effective. (a) Determine if the desired release rate can be achieved for a 3 hour flight from Orlando to New York (Hint: First determine whether the semi-infinite medium approximation is valid for a 3 hour flight. If it is valid, then determine the flux and release rate. The release rate = fluxx surface area. The surface area for the patch is 1mm2 ) 7 points (b) If the desired release rate can NOT be achieved, suggest possible ways to produce a higher flux. (3 (c) Now consider diffusion of the drug from the patch using finite medium conditions. Determine the time required for the drug in the patch to equal 2% of the initial concentration in the patch. 7 point points) A patch has been designed to release a drug to treat airsickness. The patch is applied at the time of the flight and is worn until the flight is over. The patch is rectangular with a thickness of 2mm. The drug is initially at a concentration of 30mM. Assume that the concentration in the adjacent skin is zero. The diffusion coefficient of the drug in the patch is 1108cm2/s. The manufacturer must have the release rate above 0.51010mol/s to ensure that there is enough drug in the bloodstream for the drug to be effective. (a) Determine if the desired release rate can be achieved for a 3 hour flight from Orlando to New York (Hint: First determine whether the semi-infinite medium approximation is valid for a 3 hour flight. If it is valid, then determine the flux and release rate. The release rate = fluxx surface area. The surface area for the patch is 1mm2 ) 7 points (b) If the desired release rate can NOT be achieved, suggest possible ways to produce a higher flux. (3 (c) Now consider diffusion of the drug from the patch using finite medium conditions. Determine the time required for the drug in the patch to equal 2% of the initial concentration in the patch. 7 point points)

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