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You inject (intravenously) a 70 Kg patient with 30 mg of drug

that has a Vd of 5 L/Kg and an elimination half life of 3 hr.
What is the clearance rate for this drug?

1 Answer

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Final answer:

The clearance rate for a drug with a volume of distribution of 5 L/Kg and an elimination half-life of 3 hours for a 70 Kg patient is approximately 80.85 L/hr.

Step-by-step explanation:

You are asking how to calculate the clearance rate for a drug given to a patient with a volume of distribution (Vd) of 5 L/Kg and an elimination half-life of 3 hours. To calculate clearance (Cl), we can use the following equation:

Cl = (0.693 * Vd) / t1/2

Where 0.693 is the natural logarithm of 2 (used for half-life calculations), Vd is the volume of distribution, and t1/2 is the elimination half-life. Plugging in the values:

Cl = (0.693 * 5 L/Kg * 70 Kg) / 3 hr

Cl = 80.85 L/hr

Therefore, the clearance rate for this drug would be approximately 80.85 L/hr.

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