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exponential decay formula carbon 14. Carbon-14 decays exponentially with a half-life T ½ of approximately 5715 years. From the equation latexAapprox A_0e-0000121tlatex we know the ratio of the percentage of carbon-14 in the object we are dating to the percentage of carbon-14 in the atmosphere is latexrfracAA_0approx e-0000121tlatex.
It will calculate any one of the values from the other three in the exponential decay model equation. The general formula for exponential decay given a half-life is. Pt P 0 e-rt.
The diagram below shows exponential decay.
For example the medical sciences refer to the. The general formula for exponential decay given a half-life is. The process involves calculating the percentage of carbon-14 that remains in the artifact. Half-life is the time required for half of a sample to disintegrate.