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Nuclear Chemistry question

2000 · Q83
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Nuclear Chemistry question

2000 · Q83

NEETChemistryNuclear ChemistryMCQ+4 / −1
A 300 grams radioactive sample at initial half life is 3 hours. After 18 hours remaining quantity
  1. A
    4.68 gram
  2. B
    2.34 gram
  3. C
    3.34 gram
  4. D
    9.37 gram
View written solutionFree

Correct answer: A

No. of half life’s gone = 183{{18} \over 3}318​ = 6

N0 = 300 g

Nt = N0 ×\times× (12)n{\left( {{1 \over 2}} \right)^n}(21​)n

= 300×(12)6300 \times {\left( {{1 \over 2}} \right)^6}300×(21​)6

= 300×164=4.68 g300 \times {1 \over {64}} = 4.68\,g300×641​=4.68g

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