Question #179218

How old is a sample of wood whose 14C content is found to be 43% that of a living tree? The half-life of 14C is 5730 years.


(b) Iodine-131 is one of the most important isotopes used in the diagnosis of thyroid cancer. One atom has a mass of 130.906114 amu. Calculate the binding energy per nucleon. 


1
Expert's answer
2021-04-08T12:09:32-0400

Decay constant  =0.693t12=0.6935730years=1.209×104/years=\frac{0.693}{t\frac{1}{2}}= \frac{0.693}{5730years}= 1.209×10^{-4}/years


The rate of counts is proportional to the number of C-14 atoms in the sample.

N0=100,N_0​=100,

N=43N=43

The age of the sample =t=2.303klog[N0N]=t=\frac{2.303}{k}​log[\frac{N_0}{N}]


t=2.3031.209×104×log[10043]=t=\frac{2.303}{1.209×10^{-4}}×​log[\frac{100}{43}]= 4430 years





Binding energy per nucleon. 


=1.184481amu.931Mev1amu131=8.422Mev/nucleons=\frac{1.184481amu.\frac{931Mev}{1amu}}{131}=8.422Mev/nucleons





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Comments

Assignment Expert
05.05.21, 08:50

Dear Hinds , please post a new question

Hinds
04.05.21, 21:05

Iodine-131 is one of the most important isotopes used in the diagnosis of thyroid cancer. One atom has a mass of 130.906114 amu. Calculate the binding energy per nucleon.

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