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Pharmacology · Pharmacokinetics: steady state
Sample itemA drug with a half-life of 6 hours is given by constant intravenous infusion. About how long will it take to reach approximately 94% of the steady-state concentration?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
C. 24 hours
Each half-life covers half of the remaining distance to steady state: 50% at one half-life, 75% at two, 87.5% at three and about 94% at four. Four half-lives is 24 hours; 4 to 5 half-lives is the usual rule for reaching steady state, regardless of the infusion rate.
Option by option
A. 6 hours
After one half-life the concentration is only 50% of steady state.
B. 60 hours
Ten half-lives would exceed what is needed; steady state is effectively reached in 4 to 5.
C. 24 hours (correct)
Correct. Four half-lives (24 hours) gives about 94%.
D. 12 hours
After two half-lives the concentration is about 75% of steady state.
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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