T01) Find Ct from C0, k and t
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 115 Kg patient was intravenously administered a drug. The plasma concentration was found to be 4.08 mg/L, when the blood was first collected. If the drug follows a first order elimination and the elimination rate constant (k) is `0.015 \quad h^{-1}`, then determine the plasma concentration after 3.4 hours.
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lb equals 3.877 mg/L kg
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For a first order process,
`C_{t}=C_{0}×e^(-kt)`
Plugging the values in this equation, we get:
`C_{t}=4.08 × e^(- 0.015 × 3.4)`
`∴ C_{t}=3.877`
Thus, the later concentration is: 3.877 mg/L. (Ans).