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The half-life period ( ) for decay of radioactive is . An ancient piece of wood has only of the…

Chemistry20243 marksNumerical
(i)[1.5]
The half-life period ($t_{1/2}$) for decay of radioactive $^{14}\text{C}$ is $5730\text{ years}$. An ancient piece of wood has only $80\%$ of the $^{14}\text{C}$ found in a living tree. Calculate the age of the piece of wood.
(ii)[1.5]
The rate of most of the reactions becomes double when the temperature is raised from $298\text{ K}$ to $308\text{ K}$. Calculate the activation energy. ($R = 8\cdot314\text{ J K}^{-1}\text{ mol}^{-1}$)

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Chemical Kinetics

From ISC 2024 Specimen Chemistry Paper 1, question 18.