Radium has a half-life of 1,660 years. calculate the number of years until only 1/16th of a sample remains.

years

Radium has a half-life of 1,660 years.The number of years until only 1/16th of a sample remains is 6641 years.

6641 years

Explanation:

Given that the half-life of Radium is 1660 years. The number of years to be calculated when the sample of radium could just be remained of 1/16th of its part, which can be calculated by the following means,

Half life,  

t is the taken time, then,

Taking ln on both sides, we get,

By substituting the given values,

Therefore, t = 6641 years