Complete the table for the radioactive isotope. (Round your answer to 2 decimal places .
Isotope : 226Ra
Half Life(years) : 1599
Initial quantity : ? g
Amount after 3000 years: 1.3g

Respuesta :

1.3 = A (0.5) ^ ( 3000 / 1599)

1.3  = A (0.5) ^ 1.876

A  =   1.3 / 0.5 ^ 1.876

Hope this helps

The given table can be completed as mentioned below:

Initial quantity = 4.78 g

What are Radioactive isotopes?

Radioactive Isotopes are described as the chemical element that remains unsteady and liberates as the radiation in the process of breaking up and attempting to be more steady.

As per the question,

Given that,

Isotope = [tex]226 Ra[/tex]

The half-life [tex]= 1599[/tex]

Amount post 3000 years [tex]= 1.3 g[/tex]

To find,

Initial quantity = ?

Using the formula:

[tex]1.3 = A (0.5) ^ ( 3000 / 1599)[/tex]

[tex]1.3 = A (0.5)^_{1.876}[/tex]

∵ [tex]A = 1.3 / 0.5 ^ 1.876[/tex]

Thus, [tex]4.78 g[/tex] is the correct answer.

Learn more about "Isotopes" here:

brainly.com/question/13214440