In clinical pharmacokinetics, a drug is eliminated via first-order kinetics with an elimination rate constant ke = 0.1386 h^-1. If the initial plasma concentration is C0 = 40 mg/L, what will the concentration be after 10 hours?
Answer and explanation
Correct answer: B. 10 mg/L
The elimination half-life is t_1/2 = ln(2) / ke ≈ 0.693 / 0.1386 h^-1 = 5.0 hours. An elapsed time of 10 hours corresponds to exactly two half-lives (n = 10 / 5 = 2). After 2 half-lives, the concentration is C = C0 (1/2)^2 = 40 mg/L (1/4) = 10 mg/L.
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