srgrace6778 srgrace6778
  • 16-12-2019
  • Chemistry
contestada

What percentage of a radioactive substance remains after 7.00 half-lives have elapsed?0.391%1.56%3.12%0.78%

Respuesta :

Tringa0 Tringa0
  • 17-12-2019

Answer:

Percentage of a radioactive substance remains after 7.00 half-lives have elapsed is 0.78%.

Explanation:

Formula used :

[tex]A=\frac{A_o}{2^n}[/tex]

where,

A = amount of reactant left after n-half lives

[tex]A_o[/tex] = Initial amount of the reactant

n = number of half lives

We have:

n = 7.00

[tex]A=\frac{A_o}{2^7}[/tex]

[tex]\frac{A}{A_o}=\frac{1}{128}[/tex]

Percentage of a radioactive substance remains after 7.00 half-lives have elapsed:

= [tex]\frac{1}{128}\times 100=0.78%[/tex]

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