How much time is needed for a sample of Pd-100

Elise Winters

Elise Winters

Answered question

2022-04-23

How much time is needed for a sample of Pd-100 to lose 93.75% of its original amount? Pd-100 has a half-life of 3.634 days.

Answer & Explanation

elseptimopc7

elseptimopc7

Beginner2022-04-24Added 14 answers

Let n be the original amount of pd-100.
At=A0(12)t/h
Where:h=Half l if e
A0=Initial amount
At=Remaining amount
The remaining part of the original amount surviving after t time is:
f=(0.5)t3.634
If it loses 93.75% of original amount, then the remaining amount is
10093.75=6.25%
So:
0.0625=(0.5)t3.634 (1)
Now solve the equation 1 for the value of t:
(0.5)4=(0.5)t3.634
t=(3.634)4
t=14.536
14.536 days are needed for a sample of Pd-100 to lose 93.75% of its original amount.

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