Question

The half-life of radium is 1600 yr.. Average life period =??

Answer 1

Half life of radium =1/1600 years=0.693/a where a is decay constant => 0.693/1600 =a. Average life of radium =1/a=1/(0.693/1600)=1600/0.693 =2308.80231 years ~2308.8 years .Hope it helps you...

Answer 2

Average life period is $0.23\times 10^4year$

Explanation:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

Half life is represented by $t_{\frac{1}{2}$

$t_{\frac{1}{2}=\frac{0.693}{\lambda}$

$\lambda$ = rate constant

${\lambda}=\frac{0.693}{t_{\frac{1}{2}}}=\frac{0.693}{1600yr}=4.3\times 10^{-4}yr^{-1}$

Average life is is the time in which concentration reduces to 1/e of the original concentration.

$t_{av}=\frac{1}{\lambda}=\frac{1}{4.3\times 10^{-4}yr^{-1}}=0.23\times 10^4year$

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