p43_039 - is 147 Sm, the number of 147 Sm nuclei present in...

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39. The number N of undecayed nuclei present at any time and the rate of decay R at that time are related by R = λN ,where λ is the disintegration constant. The disintegration constant is related to the half-life T 1 / 2 by λ =(ln2) /T 1 / 2 ,so R =( N ln 2) /T 1 / 2 and T 1 / 2 =( N ln 2) /R .S ince15 .
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Unformatted text preview: is 147 Sm, the number of 147 Sm nuclei present in the sample is N = (0 . 150)(1 . 00 g) (147 u)(1 . 661 10 24 g / u) = 6 . 143 10 20 . Thus T 1 / 2 = (6 . 143 10 20 ) ln 2 120 s 1 = 3 . 55 10 18 s = 1 . 12 10 11 y ....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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