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  • Aradioactive isotope having a half -life period of 2 days was received after 16 days. If  <img alt="4 \mathrm{~g}" src="https://entrancecorner.oncodecogs.com/gif.latex?4%20%5Cmathrm%7B%7E

Aradioactive isotope having a half -life period of 2 days was received after 16 days. If  4 \mathrm{~g} of the isotope is left in the container, what would be the initial mass of the is stope

Option: 1

445 g


Option: 2

560 g


Option: 3

224 g


Option: 4

1024 g


Answers (1)

best_answer

Given \mathrm{t_{1 / 2}=2}

Total time \mathrm{T=16}

No. of half lives \mathrm{(n)=\frac{16}{2}=8}

          \mathrm{ \left(\frac{1}{2}\right)^n=\frac{N}{N_0} }

          \mathrm{\begin{aligned} & \left(\frac{1}{2}\right)^8=\frac{4}{N} \\\\ & \frac{4}{N}=\frac{1}{256} \\\\ & N=256 \times 4 \\\\ & N=1024 \mathrm{~g} \end{aligned}}

Posted by

Ajit Kumar Dubey

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