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formula for half life in math. So were starting off with well were starting off with N sub 0 times e to the minus-- wherever you see the t you put the minus 5730-- so minus k times 5730. And so How to Calculate Half Life.
T 1 2 ln 2 k displaystyle t_ 12 frac ln 2 k The half-life of a first order reaction is independent of its initial concentration and depends solely on the reaction rate constant k. There is a direct relation between the three parameters t 1 2. Finding HALF LIFE KristaKingMath - YouTube.
We will now derive a formula to get the half life from the decay constant.
The half-life is the amount of time for the material to decay enough to lose 12 of its radioactive nuclei. We could then add the half-lifet 1 2displaystyle t_. We will raise that by the number of years divided by the number of years in the half-life. N t mass of radioactive material at time interval t.