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NEET 2003
Exam
NEET
Year
2003
Subject
Chemistry
Chapter
Chemical Kinetics

NEET 2003 · Chemistry · Chemical Kinetics

The radiosotope tritium ( _1^3 H) has a lalf life of 12.3 years. If...

The radiosotope tritium (13H)\left({ }_1^3 \mathrm{H}\right) has a lalf life of 12.3 years. If the initial amount of tritium is 32mg32 \mathrm{mg}, how many milligrams of it would remain after 49.2 years

Options

  1. A1mg1 \mathrm{mg}
  2. B2mg2 \mathrm{mg}
  3. C4mg4 \mathrm{mg}
  4. D8mg8 \mathrm{mg}

Correct answer

B. 2mg2 \mathrm{mg}

Step-by-step solution

\begin{aligned}\mathrm{T}& =\mathrm{t}^{1 / 2} \times n \\ n & =\frac{49.2}{12.3}= 4 \\ \mathrm{ N}& = \mathrm{N} }_{0}(1 / 2)^n \\ & =32(1 / 2)^4 \\ & =2 \mathrm{mg} \end{aligned}
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