the rate of decay of a radioactive substance is proportional to the remaining amount of the substance. write differential equation to describe the phenomenon, using K as the constant of proportion. the half lift T of the radioactive substance is defined as the time that elapse before the substance decays to half its amount. show that
K=(1/T)*ln2
if the initial level of radioactive substance of ra radioactive substance is 1 curie and its half life is 10 days, determine
(i) the percentage of the radioactive substance that remains after 100 days.

Question

the rate of decay of a radioactive substance is proportional to the remaining amount of the substance. write differential equation to describe the phenomenon, using K as the constant of proportion. the half lift T of the radioactive substance is defined as the time that elapse before the substance decays to half its amount. show that 
                      K=(1/T)*ln2
if the initial level of radioactive substance of ra radioactive substance is 1 curie and its half life is 10 days, determine 
(i) the percentage of the radioactive substance that remains after 100 days.

anonymous · Answer

(ii) minimum storage period of the radioactive substance if it can only be disposed of when its level of radioactivity has reduced to less then 10^-4 curie