The half – life of a radioisotope is four hours. If the initial mass of the isotope was 200\ g , the mass remaining after 24 hours undecayed is: - Chemistry MCQ AIEEE 2004 2026 | ExamTest.live

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The half - life of a radioisotope is four hours. If the initial mass of the isotope was 200 g, the mass remaining after 24 hours undecayed is:

Solution & Step-by-step Explanation

Number of half-lives n = \frac{Total time}{Half-life} = \frac{24}{4} = 6 . Mass remaining N = N_{0} (\frac{1}{2})^{n} . N = 200 \times (\frac{1}{2})^{6} = 200 \times \frac{1}{64} = \frac{200}{64} = 3.125 g .

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The half - life of a radioisotope is four hours. If the initial mass of the isotope was 200 g, the mass remaining after 24 hours undecayed is:

1.042 g

4.167 g

3.125 g

2.084 g

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