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Topic: First order intermediate  (Read 1885 times)

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Offline Rutherford

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First order intermediate
« on: September 21, 2013, 10:19:35 AM »
The problem is attached. How to calculate the amount of the intermediate (Tc)? 2500 atoms of Mo have decayed to 2500 atoms of Tc, but I know that the second decay won't wait for the first one to go to completion. What system of equations I need?
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Offline Rutherford

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Re: First order intermediate
« Reply #1 on: September 22, 2013, 07:16:41 AM »
Their solution is attached. How did they derive this formula?
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Offline magician4

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Re: First order intermediate
« Reply #2 on: September 22, 2013, 07:34:08 AM »
as the halflife time of the second decay is shorter than the initial decay, this is a case of tansient equilibrium

from the mathematical side, to treat such problems of interlocking differential equations, pls. look up "Bateman equation"

a special derivation for your situation / the very expression you've been asking about, you might wish to find here : link (esp. starting from middle of p. 3)

regards

Ingo
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Offline Rutherford

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Re: First order intermediate
« Reply #3 on: September 22, 2013, 09:48:54 AM »
Thank you.
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