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50. Pharmacokinetics 50.2) Plasma concentrations over time 50.2.1) Plasma concentrations over time

T01: Later plasma concentration Normal 1

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A 72 Kg patient was intravenously administered a drug. The plasma concentration was found to be 3.69 mg/L, when the blood was first collected. If the drug follows a first order elimination and the plasma half-life of the drug is `9.12 \quad h`, then determine the plasma concentration after 7.6 hours.

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lb equals 2.071 mg/L kg

    For a first order process,
    In the question, k is not provided, but we can derive it from the equation below:
    `k=0.693/t_{½}=0.693/(9.12 h)=0.076 h^{-1}`.
    Plugging the values in this equation, we get:
    `C_{t}=3.69 × e^(- 0.076 × 7.6)`
    `∴ C_{t}=2.071`
    Thus, the later concentration is: 2.071 mg/L. (Ans).