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
Total tried: Correct: Wrong:
A patient was given 115.425 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 2.43 mg/L. The weight of the patient is 190 Kg. What is the volume of distribution of the drug in this patient?
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lb equals 47.5 L kg
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Given that, amount of drug administered = (`X_{0}`) =115.425 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=(115.425 \quad mg)/(2.43 \quad (mg)/L)=47.5 \quad L` Ans.