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⠀⠀⠀☞ Aproximadamente 0,04 gramas (opção B). ✅
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⠀⠀⠀⭐⠀Para realizar este exercício vamos modelar o decaimento radioativo.⠀⭐⠀
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[tex]\Large\gray{\boxed{\sf\orange{~~\begin{array}{lcr}&&\\&\pink{\text{\LARGE$\underline{~~\bf Decaimento~~}$}}&\\&\pink{\LARGE\text{$\underline{~~\bf radioativo~~}$}}&\\\\\\&\orange{\diamond~~\sf ~(n_{_0}=massa~inicial)~~\diamond}&\\\\&\green{\clubsuit\underline{~~\sf ~Ap\acute{o}s~1~meia{-}vida:~~}\clubsuit}&\\\\&\orange{\sf n(1) = \dfrac{n_{_0}}{2^{^1}}}&\\\\\\&\green{\clubsuit\underline{~~\sf ~Ap\acute{o}s~2~meia{-}vidas:~~}\clubsuit}&\\\\&\orange{\sf n(2) = \dfrac{n(1)}{2^{^1}} = \dfrac{n_{_0}}{2^{^2}}}&\\\\\\&\green{\clubsuit\underline{~~\sf ~Ap\acute{o}s~t~meia{-}vidas:~~}\clubsuit}&\\\\\\&\red{\boxed{\pink{\boxed{\begin{array}{lcr}\green{\star}&&\green{\star}\\&\!\!\orange{\bf n(t) = \dfrac{n_{_0}}{2^{^{t}}}}\!\!&\\\green{\star}&&\green{\star}\\\end{array}}}}}&\\\\&\orange{\diamond~~\sf ~\left(t = \dfrac{T_{total}}{T_{1/2}}\right)~~\diamond}&\\&&\end{array}~~}}}[/tex]
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⠀⠀⠀➡️⠀Sendo assim temos:
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⌚ Hora da matemágica ✍
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[tex]\Large\gray{\boxed{\sf~~\begin{array}{c}~\\\pink{\underline{~\underline{\text{\LARGE$\bf\square\!\!\boxed{\subset}\boxed{\emptyset}\boxed{\eta}\boxed{\pi}\!\!\!^{^{\square}}\boxed{\alpha}\boxed{\$}\!_{\square}$}}~}}\\\\\\\blue{\begin{cases}\text{$\sf~n_{_0} = 20~[g]$}\\ \text{$\sf~t = \dfrac{27\backslash\!\!\!{0}}{3\backslash\!\!\!{0}} = 9$}\\\text{$\sf~n(t) =~?~[g]$}\end{cases}}\\\\\!\!\!\!\!\!\!\!^{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\!\!\!\!\!\!\!\!\\\orange{\LARGE\text{$\bf n(t) = \dfrac{n_{_0}}{2^{^{t}}}$}}\\\!\!\!\!\!\!\!\!^{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\!\!\!\!\!\!\!\!\\\blue{\sf n(9) = \dfrac{20}{2^{^9}}}\\\!\!\!\!\!\!\!\!^{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\!\!\!\!\!\!\!\!\\\blue{\sf n(9) = \dfrac{20}{516} = \dfrac{40}{1.024}}\\\!\!\!\!\!\!\!\!^{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\!\!\!\!\!\!\!\!\\\\\green{\boxed{\blue{\sf~n(9) \approx ~0{,}4~[g]}}~\checkmark}\\\\\end{array}~~}}[/tex]
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⠀⠀⠀⭐ O que nos leva à opção B. ✌
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[tex]\qquad\quad\Huge\green{\boxed{\rm~~~\red{B.}~\blue{ 0{,}04 }~~~}}[/tex] ✅
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[tex]\bf\large\red{\underline{\quad\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]☁
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⠀⠀⠀☀️ L͎̙͖͉̥̳͖̭̟͊̀̏͒͑̓͊͗̋̈́ͅeia mais sobre decaimento radioativo:
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https://brainly.com.br/tarefa/47685362 ✈
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[tex]\huge\blue{\text{\bf\quad Bons~estudos.}}[/tex] ☕
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[tex]\quad\qquad(\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios})[/tex] ☄
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[tex]\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }\LaTeX}[/tex]✍
[tex]\sf(\purple{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly}[/tex] ☘☀❄☃☂☻)
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[tex]\Huge\green{\text{$\underline{\red{\mathbb{S}}\blue{\mathfrak{oli}}~}~\underline{\red{\mathbb{D}}\blue{\mathfrak{eo}}~}~\underline{\red{\mathbb{G}}\blue{\mathfrak{loria}}~}$}}[/tex] ✞
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