Chemistry & Chemical Reactivity
Solutions
Chemistry & Chemical Reactivity
A sample of the inner part of a redwood tree felled in 1874 was shown to have 14C activity of 9.32 dpm/g. Calculate the approximate age of the tree when it was cut down. Compare this age with that obtained from tree ring data, which estimated that the tree began to grow in 979 ± 52 BC Use 13.4 dpm/g for the value of A0
Interpretation:
The approximate age of the tree has to be calculated.
Concept introduction:
Radiocarbon dating: The dynamic equilibrium exists in all living organism by exhaling or inhaling, maintain the same ratio of
Half-life period: The time required to reduce to half of its initial value.
Formula used to calculate half-life:
The age is calculated from rate constant and Half-life is explained below,
Using first order integrated rate law,
Here, A = final activity is
Ao initial activity given is
As known, the half-life of C-14 is 5730 years and using this calculate the constant ‘k’ as shown below,
By substituting activity value and initial activity in integrated rate law equation,
Chapter 25 Solutions
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