A pharmaceutical product is designed to be absorbed in the gastrointestinal tract. The active ingredient is pressed into a tablet with a density of p_A = 15 kg/m³ while the remainder of the tablet is composed of inactive ingredients. The partition coefficient is K = 3 X 10^–2, and the diffusion coefficient of the active ingredient in the gastrointestinal fluid is D_AB = 0.4 X 10^–10 m²/s.

(a) Estimate the dosage delivered over a time period of 5 h for a spherical tablet of diameter D = 6 mm.

(b) Estimate the dosage delivered over 5 h for N = 200 small, spherical tablets contained in a gelatin capsule that quickly dissolves after ingestion, releasing the medication. The initial mass of the medication is the same as in part (a).