p43_029 - 29. (a) The decay rate is given by R = N , where...

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29. (a) The decay rate is given by R = λN ,where λ is the disintegration constant and N is the number of undecayed nuclei. Initially, R = R 0 = λN 0 ,wh e r e N 0 is the number of undecayed nuclei at that time. One must Fnd values for both N 0 and λ . The disintegration constant is related to the half-life T 1 / 2 by λ =( ln2 ) /T 1 / 2 =( ln2 ) / (78 h) = 8 . 89 × 10 3 h 1 .I f M is the mass of the sample and m is the mass of a single atom of gallium, then N 0 = M/m .N o w , m = (67 u)(1 . 661 × 10 24 g / u) = 1 . 113 × 10 22
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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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