Number of days required for a sample to decay from 10 milligrams to 1 milligram.

CMIIh

CMIIh

Answered question

2021-09-09

Number of days required for a sample to decay from 10 milligrams to 1 milligram.
Given: 10 milligrams of sample decays to 5 milligrams in 23 days.

Answer & Explanation

Mayme

Mayme

Skilled2021-09-10Added 103 answers

Formula used:
Radio-active decay of a sample is given by N=N0ekt
Where, N0 is the initial weight of the sample.
Calculation:
At t=0,N=N0=10
At t=23,N=5
Substitute in N=N0ekt
5=10ek(23)
k=ln223=0.03
To calculate the number of days to decay the sample to 1 milligram, Substitute N=1  N=N0ekt
1=10e0.03t
t=ln100.03=76.4 days.
Conclusion:
Using the formula of radioactive decay, the number of days can be calculated for a sample to decay from 10 milligrams to 1 milligram.

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