Wooden artifact and freshly cut tree give 7.7 and 15.4 m i n - 1 g - 1 of carbon ( t 1 2 = 5770 years) respectively. The age of the artifact is

t = 2.303 λ log ⁡ N o N t = 2.303 0.693 5770 log ⁡ 15.4 7.7 t = 2.303 × 5770 × 0.3010 0.693 = 5770 years.

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ChemistryChemical KineticsMiscellaneous/MixedEasy2 minPYQ_2020

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Wooden artifact and freshly cut tree give 7.7 and 15.4 $m i n^{- 1} g^{- 1}$ of carbon ( $t_{\frac{1}{2}} = 5770$ years) respectively. The age of the artifact is

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Answer:

Solution:

$t = \frac{2.303}{λ} \log \frac{N o}{N}$

$t = \frac{2.303}{\frac{0.693}{5770}} \log \frac{15.4}{7.7}$

$t = \frac{2.303 \times 5770 \times 0.3010}{0.693}$

$= 5770$ years.

Stream:NTA_ABHYASSubject:ChemistryTopic:Chemical KineticsSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: PYQ_2020

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