The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced t

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Mathematics

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The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced to a mass of 6 mg.

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Explanation & Answer

The half-life of Palladium-100 is 4 days.
After 12 days a sample of Palaladium-100 has been reduce to a mass of 6 mg.
What was the initial mass of the sample?
What is the mass 7 weeks after the start?
:
The half-life formula: A = Ao*2^(-t/h)
Where
A = resulting amt after t time
Ao = initial amt
t = time of decay
h = half-life of substance

Find the initial amt
Ao*2^(-12/4) = 6
Ao*2^-4 = 6
.0625*Ao = 6
Ao = 3%2F.0625
Ao = 9.6 mg is the initial amt
:
Find the amt after 7*7 = 49 days
A = 9.6*2^(-49/4)
Enter above into a calc
A = 0.00197 mg after 7 weeks




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