Given the initial weight of 1 mg of radioactive ₂₇⁶⁰ Co (half-life =5.27 years), the amount disintegrated in… · ABC26IN0484

Subject: Inorganic Chemistry · Chapter: Nuclear Chemistry · Topic: Nuclear – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Hard

Given the initial weight of 1 mg of radioactive ${ }_{27}^{60} \mathrm{Co}$ (half-life $=5.27$ years), the amount disintegrated in 1 year (rounded off to two decimal places) is ____ mg.
Answer
SELF-PRACTICE — the source book printed no answer.

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

Explanation
Answer: 0.12 mg — Fraction left = e^(−0.693 × 1/5.27) = e^(−0.1315) = 0.877, so 1 − 0.877 = 0.123 mg has decayed.

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