JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics
The ratio of \(\frac{{ }^{14} \mathrm{C}}{{ }^{12} \mathrm{C}}\) in a piece of wood is \(\frac{1}{8}\) part that of atmosphere. If half life of \({ }^{14} \mathrm{C}\) is \(5730\) years, the age of wood sample is _______ years.
- A \(17160\)
- B \(17170\)
- C \(17180\)
- D \(17190\)
Answer & Solution
Correct Answer
(D) \(17190\)
Step-by-step Solution
Detailed explanation
\(\lambda t=\ln \frac{\left({ }^{14} \mathrm{C} /{ }^{12} \mathrm{C}\right)_{\text {atmosphere }}}{\left({ }^{14} \mathrm{C} /{ }^{12} \mathrm{C}\right)_{\text {wood sample }}}\) As per the question,…
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