1.

0.693Derive ti2

Answer»

N/N₀=e^(-kt) and

ln (N/N₀)= -kt and

t= (-ln(N/N₀))/k

half life is when N/N₀=1/2.

THEN:

t1/2=(-ln(1/2))/k = ln2/k.

this is simply equal to:

t1/2=0.693/k.

This formula has been discovered by Ernest Rutherford in 1900


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