ch42-p027 - 27. (a) The half-life T1/2 and the...

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N N e 0 2592 0 0749 == . .. 27. (a) The half-life T 1/2 and the disintegration constant are related by T 1/2 = (ln 2)/ λ , so T 1/2 = (ln 2)/(0.0108 h – 1 ) = 64.2 h. (b) At time t , the number of undecayed nuclei remaining is given by NN e N e t tT 00 2 12 λ ln / / . af We substitute t = 3 T 1/2 to obtain N N e 0 32 0125 ln In each half-life, the number of undecayed nuclei is reduced by half. At the end of one
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