A nicotine patch is designed to deliver 24 mg of nicotine over a 24 hr period. The patch is 5 cm in diameter as shown in Figure P4.35. The steady-state nicotine concentration in the blood is designed to be 1 μg/liter. Assuming the nicotine must pass through the skin, a layer of fat just beneath the skin, and finally into the blood, what is the concentration at the patch-skin interface? The partition coefficient between the patch and skin is K c c eq patch skin = = 10 and between the fat and blood is 1000. All other partition coefficients are 1. The diffusivities of nicotine in the skin and fat layer are:
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