Answer to Question #282250 in Atomic and Nuclear Physics for BIGIRMANA Elie

Question #282250

2. One (1) gram of aradioactive substance disintegrates at the rate of 3.7 × 1010 per


second. The atomic weight of the substance is 226. Calculate its mean life.

1
Expert's answer
2021-12-24T11:32:32-0500

1) Write down the expression for activity of the substance:


A=NT.A=\frac NT.


2) Remember what the number of particles is:


N=nNa=mMNa.N=nN_a=\frac mMN_a.

3) Express the time:


T=NA=mNaMA=16.0210232263.71010, T=7.21010 s.T=\frac{N}A=\frac{mN_a}{MA}=\frac{1·6.02·10^{23}}{226·3.7·10^{10}},\\\space\\ T=7.2·10^{10}\text{ s}.


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