Respuesta :
The time taken for a sample to reduce by 98% is 33.86 hrs.
What is half life?
Half life is the time taken by a radioactive material for the radioactivity of to reduce by half its original value.
The half life equation is:
A = A₀ (½)^(t / T)
where A is the final amount, A₀ is the initial amount, t is the amount of time, and T is the half life.
Given is the half-life of a radioisotope is 6.0 hours and activity of a sample to be reduced by 98%.
Final amount will be 1 - 0.98 = 0.02
Substituting the values, we get
0.02 = 1 (½)^(t / 6)
t = 6 {log(1/0.02)/log2}
t = 33.86 hrs
Thus, time taken is 33.86 hrs.
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