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Rohan, a patient of thyroid disorder, was given certain amount of radioactive Iodine-131 as a part…

Chemistry20272 marksNumerical
Rohan, a patient of thyroid disorder, was given certain amount of radioactive Iodine-131 as a part of his treatment. The half-life of Iodine-131 is 8 days. If the radioactive decay follows first order kinetics, how long will it take for the radioactivity to fall to $25\%$ of its initial value?

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AI
Written by AI (gemini) - it can contain mistakes.
Given: $t_{1/2} = 8\text{ days}$, remaining amount $A = 25\% = \frac{A_0}{4} = A_0 \left(\frac{1}{2}\right)^2$. Number of half-lives $n = 2$. Total time $t = n \times t_{1/2} = 2 \times 8 = 16\text{ days}$. Final answer: 16 days

Final answer: 16 days

Chemical Kinetics

From ISC 2027 Specimen Chemistry Paper 1, question 5.

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