- #1
Flavia
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Im having trouble answering this question.
How long it takes for 80% of the carbon-14 to decay in an animal after it has died.
Carbon decays rate 0.012% per year.
So, my understanding is,
-(R = 0.00012 yr-1, t=1 yr)
R=Ro exp (-λt)
0.00012=Ro exp(-λ(1)) ---- (1)
-No = 0.8,
No=λRo
Ro=0.8/λ ------ (2)
To find λ, (2) into (1)
0.00012=0.8/λ exp(-λ(1))
∴ λ = 8.8 yrs-1
Now I am stuck which equation i have to use to find the year?
Are my assumption above is correct?
How long it takes for 80% of the carbon-14 to decay in an animal after it has died.
Carbon decays rate 0.012% per year.
So, my understanding is,
-(R = 0.00012 yr-1, t=1 yr)
R=Ro exp (-λt)
0.00012=Ro exp(-λ(1)) ---- (1)
-No = 0.8,
No=λRo
Ro=0.8/λ ------ (2)
To find λ, (2) into (1)
0.00012=0.8/λ exp(-λ(1))
∴ λ = 8.8 yrs-1
Now I am stuck which equation i have to use to find the year?
Are my assumption above is correct?