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Pharmacology · Pharmacokinetics: half-life
Sample itemA drug has an apparent volume of distribution of 70 L and a clearance of 7 L/h. What is its approximate elimination half-life?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
A. About 7 hours
Half-life = 0.693 x Vd / CL. Here 0.693 x 70 / 7 = 0.693 x 10, which is about 6.9 hours. Half-life rises with a larger volume of distribution and falls with higher clearance.
Option by option
A. About 7 hours (correct)
Correct. 0.693 x 70 / 7 is about 6.9 hours.
B. About 0.07 hour
This inverts the ratio (0.693 x CL / Vd), which is not the half-life relationship.
C. About 49 hours
This is 0.693 x 70 and ignores clearance altogether.
D. About 10 hours
This is Vd / CL, the mean residence time of 10 hours, and omits the 0.693 factor.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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