WBJEE · Chemistry · Chemical Kinetics
A piece of wood from an archaeological sample has 5.0 counts min \(^{-1}\) per gram of \(\mathrm{C} - 14,\) while a fresh sample of wood has a count of \(15.0 \mathrm{min}^{-1} \mathrm{g}^{-1}\). If half-life of \(\mathrm{C}-14\) is \(5770 \mathrm{yr}\) the age of the archaeological sample is
- A \(8.500 \mathrm{yr}\)
- B \(9,200 \mathrm{yr}\)
- C \(10,000 \mathrm{yr}\)
- D \(11.000 \mathrm{yr}\)
Answer & Solution
Correct Answer
(B) \(9,200 \mathrm{yr}\)
Step-by-step Solution
Detailed explanation
Age of archaeological sample. \[ t=\frac{2.303}{k} \log \left(\frac{N_{0}}{N}\right) \] (Here, \(N_{0}=\) initial activity. \(\mathrm{N}=\) remaining activity)…
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