Radium has a half life 1600 years and its daughter elements radon has a half life 3.82 days. In an enclosure, the volume of radon was found constant for a week. Explain and calculate the ratio of the number of radium and radon nuclei. Will the ratio be constant after 400 years?

Explanation

`(N_(1)(Ra))/(N_(2)(Rn)) = (t_(1//2)(Ra))/(t_(1//2)(Rn))`
`(N_(1))/(N_(2)) = (1600)/(3.82) xx 365`
`= 1.528 xx 10^(5)`