herraviuj

herraviuj

Answered

2022-09-07

I am given the half life of a certain object is 1599 years and the amount after 10,000 years is 0.5 grams. How do I find initial quantity?

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Yuliana Griffith

Yuliana Griffith

Expert

2022-09-08Added 6 answers

Let the model be: A ( t ) = P e r t , then you have: A ( 1599 ) = P 2 , A ( 10 , 000 ) = 0.5. Thus: P 2 = P e 1599 r r = ln 2 1599 0.00043. Thus A ( t ) = P e 0.00043 t . Next 0.5 = P e 10 , 000 ( 0.00043 ) = P e 4.3 P = 0.5 e 4.3 36.85 units.

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