### T03) Volume from dose 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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A patient was given 180.576 mg of a drug as an IV bolus. The blood sample was obtained immediately at t_{0}, and the concentration of the drug was found 3.42 mg/L. The weight of the patient is 96 Kg. What is the volume of distribution of the drug in this patient?

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lb equals 52.8 L kg

Given that, amount of drug administered = (X_{0}) =180.576 mg
Since concentration is obtained by dividing the quantity of drug with total volume, we can write:
C_{0}=X_{0}/V Rightarrow V=X_{0}/C_{0}
therefore V=(180.576 \quad mg)/(3.42 \quad (mg)/L)=52.8 \quad L Ans.