Respuesta :

t=2T
m=10 g

m=m₀2^(-t/T)

m₀=m/{2^(-2T/T)=m/2⁻²

m₀=10/2⁻²=40 g

40 grams

After two half-lives, a sample contains 10 grams of parent isotopes. 40 g of the parent isotope were present to start.

What are half-lives?

The duration needed for a quantity to decrease to half its original would be known as the half-life.

What is an isotope?

Isotopes were members within the identical element's family but have variable counts of neutrons despite having the identical count of protons.

Calculation of the amount of parent isotope

It is given that, t = 2T

Mass = 10 g.

The amount of parent isotope can be calculated by using the formula:

[tex]m = m_{0} {2^{-t/T}[/tex]

Put the value of the given data in the above formula:

[tex]m = 10 *{2^{-2T/T}\\m = 10 *2^{-2} \\m = 40 g[/tex].

Therefore, after two half-lives, a sample contains 10 grams of parent isotopes. 40 g of the parent isotope were present to start.

To know more about half-lives and isotopes

https://brainly.com/question/1439925

#SPJ2