A radioactive sample decays to 10% of its initial amount in 4600 minutes. The rate constant of this process… · ABC26IN0747

Subject: Inorganic Chemistry · Chapter: Nuclear Chemistry · Topic: Radioactive Decay Kinetics · Exam: JAM 2005-2022 · Marks: 2 · Difficulty: Medium

A radioactive sample decays to $10 \%$ of its initial amount in 4600 minutes. The rate constant of this process is ____ hour ${ }^{-1}$ (Round off to two decimal places)
Answer
SELF-PRACTICE — the source book printed no answer.

Nothing is invented here, so this question has no answer on record.

Explanation
Answer: 0.03 h⁻¹ — k = ln(100/10)/t = 2.303/(4600/60 h) = 2.303/76.67 = 0.030 h⁻¹.

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