The isotope known as carbon-14 is radioactive and will decay into the stable form nitrogen-14. as long as an organism is alive, it ingests air, and the level of carbon-14 in the organism remains the same. when it dies, it no longer absorbs carbon-14 from the air, and the carbon-14 in the organism decays. the half-life of carbon-14 is 5770 years. assume an organic sample is 14,000 years old. how many half-lives is 14,000 years?

The number of half lives in 14000 years is  2.4258.

Step-by-step explanation:

Initial amount of carbon-14 =

Final amount of carbon-14= N

Half life of carbon-14 =

Decay constant = k =

Age of the sample = t = 14,000 years

Formula used for number of half lives

where,

N= amount of reactant left after n-half lives

= Initial amount of the reactant

n = number of half lives

Taking log both sides

n = 2.4258

The number of half lives in 14000 years is  2.4258.

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step-by-step explanation: