Question:
Elimination after 4 half lives in first order kinetics is?
Elimination after 4 half lives in first order kinetics is?
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Remaining is (1/2) raised to the number of half lives.
Updated On: Jun 24, 2026
- 84%
- 93%
- 80.5%
- 4.75%
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The Correct Option is B
Solution and Explanation
Step 1: In first order kinetics a constant fraction of drug is eliminated per unit time, so each half life removes half of whatever remains.
Step 2: Track the fraction remaining: after 1 half life 50 percent is gone, after 2 half lives 75 percent, after 3 half lives 87.5 percent, and after 4 half lives the amount remaining is \(\left(\tfrac{1}{2}\right)^4 = \tfrac{1}{16}\), which is about 6.25 percent.
Step 3: Therefore the amount eliminated is \(100 - 6.25 = 93.75\) percent, which rounds to about 93 percent.
Answer: 93 percent.
Step 2: Track the fraction remaining: after 1 half life 50 percent is gone, after 2 half lives 75 percent, after 3 half lives 87.5 percent, and after 4 half lives the amount remaining is \(\left(\tfrac{1}{2}\right)^4 = \tfrac{1}{16}\), which is about 6.25 percent.
Step 3: Therefore the amount eliminated is \(100 - 6.25 = 93.75\) percent, which rounds to about 93 percent.
Answer: 93 percent.
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