The half-life of carbon-14 is equal to 5730 years. The amount of substance with half-life h at any time t is equal to,
At = (Ao) x (1 - 0.5)^(t/h)
Substituting,
At/Ao = 0.67 = 0.5^(t/5730)
The value of t from the equation is 3310.6 years.
Answer:

Explanation:
From the given information:
At any given time (t), let c(t) represent the concentration of the drug present in bloodstream.
Deriving the equation:
decrease proportionally to Concentration C
i.e




㏑(C) = -kt + λ
where,
λ is the integration constant.
Integrating at t = 0, concentration of blood = Co g/mL
C(0) = Co
㏑(C₀) = 0 + λ
λ = ㏑(C₀)
From ㏑(C) = -kt + λ
㏑(C) = -kt + ㏑C₀
㏑(C) - ㏑C₀ = -kt


∴
The concentration of drug in blood at any time t is:

Both tested the idea of spontaneous generation.
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