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Nuclear Chemistry question

2003 · Q87
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Nuclear Chemistry question

2003 · Q87

NEETChemistryNuclear ChemistryMCQ+4 / −1
The radioistope, tritium (13{}_1^313​H) has a half-life of 12.3 years. If the initial amount of tritium is 32 mg, how many milligrams of it would remain after 49.2 years?
  1. A
    1 mg
  2. B
    2 mg
  3. C
    4 mg
  4. D
    8 mg
View written solutionFree

Correct answer: B

Given t1/2 = 12.3 years

Initial amount (N0) = 32 mg

Total time = 49.2 years

No. of half lives(n) = Tt1/2=49.212.3=4{T \over {{t_{1/2}}}} = {{49.2} \over {12.3}} = 4t1/2​T​=12.349.2​=4

N = N0(12)n{\left( {{1 \over 2}} \right)^n}(21​)n = 32(12)432{\left( {{1 \over 2}} \right)^4}32(21​)4 = 2 mg

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