Half life Exponential and Decay Problem
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Half life Exponential and Decay Problem

[From: ] [author: ] [Date: 11-09-14] [Hit: ]
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The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 6 mg. What was the initial mass (in mg) of the sample?


What is the mass 5 weeks after the start?

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6 = P * (1/2)^(24 / 4)
6 = P * (1/2)^6
6 = P * (1/64)
6 * 64 = P
384 = P

A = 384 * (1/2)^(7 * 5 / 4)
A = 384 * (1/2)^(35/4)
A = 0.89190533625204080003812497792036

0.89 mg
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