Answer:
t = ln (N/N°)/(-0.0239)
Explanation :
The decay law is represented as
N = N°e^-kt
Where N is the final number of atom,
N° is the initial number of atoms
k is the decay constant
t is the half-life.
From the above we have,
N/N° = e^-kt
take ln of both sides
ln (N/N°) = -kt
t = ln(N/N°)/-k
At half life, N/N° = 1/2
Therefore, t = (ln 1/2)/-k
t = -0.693/-k
But t = 29 sec
29 = -0.693/-k
k = 0.0239 s^-1
Therefore,
The formula will be
t = ln (N/N°)/(-0.0239)
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