You are an archaeologist who has just found an ancient fire ring containing charcoal fragments. you send these fragments to the lab for carbon-14 analysis. the report you receive from the lab states that these fragments have 25% of the amount of carbon-14 compared to modern wood. using 5730 years as the half-life of carbon-14, you conclude that these charcoal fragments are about years old. can you explain how you get an answer of 11460? you!

Thus we can conclude that these charcoal fragments are about 11460 years old.

Explanation:

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

Expression for rate law for first order kinetics is given by:

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  = 100

a - x = amount left after decay process = 25

b) for completion of 75 % of reaction  

Thus we can conclude that these charcoal fragments are about 11460 years old.

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explanation:

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