T01) Dose from volume and concentration
50. Pharmacokinetics 50.1) PK Basic parameters 50.1.1) Dose, Volume and Concentration
50.1.1.1) Basic parameters Easy 1
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How much drug has to be administered to a patient weighing 157 Kg so that the plasma concentration is 3.45 mg/L? Given that, the Volume of distribution of the drug is 0.62 L/Kg.
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lb equals 335.823 mg kg
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Total volume of distribution (V) for this patient will be:
`0.62 \quad L/(Kg) × 157 \quad Kg = 97.34 \quad L`
Concentration (`C_{0}`) = `3.45 \quad (mg)/L`;
Drug quantity (`X_{0}`) =?
We know that,
`C_{0}=X_{0}/V`
`therefore X_{0} = C_{0} × V`
`= 3.45 \quad (mg)/L × 97.34 \quad L = 335.823 \quad mg`. Ans.