The kinetics of drug metabolism are usually described by reporting the half-life

Question

The kinetics of drug metabolism are usually described by reporting the half-life of the drug in the body. For example, ibuprofen (Advil, MM = 206.3 g/mol) has a half-life of about 1.8 hours. Determine the fraction of ibuprofen that remains in the blood 8 hours after taking an 800 mg tablet. You may make the following simplifying assumptions: all of the ibuprofen dissolves in the blood immediately after swallowing the tablet; the human body contains 4.7 L of blood; ibuprofen metabolism follows first-order kinetics. [ibuprofen]_shr/[ibuprofen]_0 =0.031 =3.1% [ibuprofen]_shr/[ibuprofen]_0 =0.082 =8.2% [ibuprofen]_shr/[ibuprofen]_0 =0.8 times 10^-5+ 0.0038% [ibuprofen]_shr/[ibuprofen]_0 =0.046 + 4.6% [ibuprofen]_shr/[ibuprofen]_0 =0 =0%

Explanation / Answer

k = 0.693/t1/2 = 0.385 h-1

[ibuprofen] / [ibuprofen]o = e –kt

[ibuprofen] / [ibuprofen]o = e –0.385x8 = 0.046 =4.6%

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