The half-life of this element is 188.32 years
The formula for calculating the half-life of an element is expressed according to the equation:
[tex]t_{1/2}=\frac{ln 2}{\lambda}[/tex]
- [tex]\lambda[/tex] is the decay constant
Given the following parameters:
The rate constant for the decay = 3.68 × 10⁻³ day⁻¹.
Substitute into the formula for calculating the half-life as shown:
[tex]3.68\times 10^{-3}=\frac{0.693}{\lambda}\\ 0.00368=\frac{0.693}{\lambda}\\\lambda=\frac{0.693}{0.00368}\\\lambda = 188.32 years[/tex]
Hence the half-life of this element is 188.32 years
Learn more on half-life here: https://brainly.com/question/23438944
