A drug with a low clearance and large volume of distribution will have
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The elimination half-life of a drug (the time taken for its concentration to fall by half) depends on two things: how much of the body the drug spreads into (volume of distribution, V d ) and how fast the body clears it
Concept: The elimination half-life of a drug (the time taken for its concentration to fall by half) depends on two things: how much of the body the drug spreads into (volume of distribution, Vd) and how fast the body clears it (clearance, CL). The relationship is given by \( t_{1/2} = \dfrac{0.693 \times V_d}{CL} \).
Step 1: From the formula, half-life increases when Vd is large (the drug is spread widely and is harder to remove) and when clearance CL is low (the body removes it slowly).
Step 2: The question gives a drug with low clearance AND large volume of distribution. Both of these push the half-life upward. Therefore the drug will have a long half-life.
Answer: Option (1) — A drug with low clearance and large volume of distribution will have a Long half-life. (1)