131,158,557 years
Half-life is the amount of years an element takes for half of its number of atoms, in a substance, to decay
Step-by-step explanation:
We use the following mathematical formula of nuclear decay and half-life;
A(t) = A(0) * (0.5)^ (t/ti) where;
A(t) - the amount left after t years;
A(0) - the initial quantity of the substance that will undergo decay;
ti - the half-life of the decaying quantity.
We replace the values as follows;
98 = 100 * (0.5)^ (t/ 4500000000)
98/100 = (0.5)^ (t/ 4500000000)
(t/ 4500000000) = log 0.5 (98/100)
t/4500000000 = 0.029146346
t = 4500000000 * 0.029146346
t = 131,158,557
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