Recently, the skeleton of King Richard III was found under a parking lot in England. If...
Recently, the skeleton of King Richard III was found under a parking lot in England. If tissue samples from the skeleton, analyzed in 2014, contain about 93.79% of the carbon-14 expected in living tissue, what year did King Richard III die? The half-life for carbon-14 is 5715 years.
Homework Answers
Given:
Half life = 5.715*10^3 years
use relation between rate constant and half life of 1st order reaction
k = (ln 2) / k
= 0.693/(half life)
= 0.693/(5.715*10^3)
= 1.213*10^-4 years-1
we have:
[A]o = 100
[A] = 93.79
k = 1.213*10^-4 years-1
use integrated rate law for 1st order reaction
ln[A] = ln[A]o - k*t
ln(93.79) = ln(100) - 1.213*10^-4*t
4.541 = 4.605 - 1.213*10^-4*t
1.213*10^-4*t = 6.411*10^-2
t = 5.287*10^2 years
Answer: 529 years
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