### 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 172 Kg so that the plasma concentration is 4.86 mg/L? Given that, the Volume of distribution of the drug is 0.89 L/Kg. Click on the button below to see the answer and explanations

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lb equals 743.969 mg kg

Total volume of distribution (V) for this patient will be:
0.89 \quad L/(Kg) × 172 \quad Kg = 153.08 \quad L
Concentration (C_{0}) = 4.86 \quad (mg)/L;
Drug quantity (X_{0}) =?
We know that,
C_{0}=X_{0}/V
therefore X_{0} = C_{0} × V
= 4.86 \quad (mg)/L × 153.08 \quad L = 743.9688 \quad mg. Ans.

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