### T02) Concentration from volume and dose

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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If a patient weighing 75 Kg is given 138.57 mg of drug as an IV bolus, then determine the concentration of the drug in the blood. For this drug, the volume of distribution is 0.62 L/Kg.

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lb equals 2.98 mg kg

Total volume of distribution (V) for this patient will be:
0.62 \quad L/(Kg) × 75 \quad Kg = 46.5 \quad L
Drug quantity (X_{0}) =138.57 mg
Concentration (C_{0}) = ?
We know that,
C_{0}=X_{0}/V
therefore C_{0} = (138.57 \quad mg)/ (46.5 \quad L) = 2.98 \quad (mg)/L. Ans.

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