A drug becomes ineffective when it decomposes to 50 % its concentration. If 16 mg of said drug becomes 4 mg in 12 months, find the time in which drug becomes ineffective given that decomposition of drug follows first order kinetics.

Memory Based Question 29/Jan/25 Evening shift

Question

A drug becomes ineffective when it decomposes to 50 % its concentration. If 16 mg of said drug becomes 4 mg in 12 months, find the time in which drug becomes ineffective given that decomposition of drug follows first order kinetics.

Memory Based Question 29/Jan/25 Evening shift

YESPYQ · Accepted Answer

Correct answer: a) 6 months. The drug follows first-order kinetics. Using the formula $k=\frac{2.303}{t}\log ⁡\frac{[{A}_{0}]}{[A]}$ , we find $k=0.1156$ month −1 . The half-life is ${t}_{1\mathrm{/}2}=\frac{0.693}{k}=6$ months. Correct answer: A (6 months).

A drug becomes ineffective when it decomposes to 50 % its concentration. If 16 mg of said drug becomes 4 mg in 12 months…

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