Given:
Initial amount of carbon, A₀ = 16 g
Decay model = 16exp(-0.000121t)
t = 90769076 years
To determine:
the amount of C-14 after 90769076 years
Explanation:
The radioactive decay model can be expressed as:
A = A₀exp(-kt)
where A = concentration of the radioactive species after time t
A₀ = initial concentration
k = decay constant
Based on the given data :
A = 16 * exp(-0.000121*90769076) = 16(0) = 0
Ans: Based on the decay model there will be no C-14 left after 90769076 years
Answer:
After 9076 years, there are present 5,34g of ¹⁴C
Explanation:
The radioactive decay of ¹⁴C is:
¹⁴C → ¹⁴N + β
Kinetic decay model take the form of:
A = A₀ exp(-kt)
Where A is the concentration of ¹⁴C after t time
Based on the given data:
A = 16 * exp(-0.000121*9076) = 16(0.3335) = 5,34g
After 9076 years, there are present 5,34g of ¹⁴C
I hope it helps!
