It takes 12 days for Radon to decay to 1/8 of its original value of radioactivity.
The half life of the radioactive gas Radon is 4 days,
The half life of the substance is that amount of time in which the concentration of the substance decreases to half of its initial value.
It means that in 4 days, Radon will decrease to half of its original level of productivity.
So, if the initial radioactivity is A,
Then after 4 days the radioactivity will be A/2.
Now, after 4 more days, the radioactivity will become A/4.
Again, after 4 more days, the radioactivity will become A/8.
So, the total time taken to reach the reactivity 1/8 of the initial value is 12 days.
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