²⁴ Na decays to one-fourth of its initial amount in 29.8 hours. Its decay constant is ____ hour ⁻¹ (rounded… · ABC26IN0746

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

${ }^{24} \mathrm{Na}$ decays to one-fourth of its initial amount in 29.8 hours. Its decay constant is ____ hour $^{-1}$ (rounded up to four 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: 0.0465 h⁻¹ — N/N₀ = ¼ after 29.8 h: λ = ln 4/29.8 = 1.3863/29.8 = 0.0465 h⁻¹ (two half-lives, t½ = 14.9 h).

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