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COMEDK · Chemistry · 19. Chemical Kinetics

A wooden box excavated from Indus valley had an activity of \(1.18 \times 10^{13}\) disintegration per minute per \(g\) of carbon. What is the approximate age of this civilisation?

  1. A \(4000\) years
  2. B \(5700\) years
  3. C \(8100\) years
  4. D \(6000\) years
Verified Solution

Answer & Solution

Correct Answer

(C) \(8100\) years

Step-by-step Solution

Detailed explanation

\begin{aligned} \frac{d N}{d t} &=\lambda N \\ \frac{d N}{d t} &=\frac{1}{T} \frac{6.023 \times 10^{23}}{12} \\ T &=\frac{6.023 \times 10^{23}}{12 \times 1.18 \times 10^{13}} \quad\left\{\frac{d N}{d t}=1.18 \times 10^{13}\right\} \\ &=42530 \times 10^{6} \mathrm{~min} \\…