Carbon-14 emits beta radiation and decays with a half-life (t ) of 5730 years. Assume that you start with a mass of 6.00 × 10^–12 g of carbon 14. How many grams of the isotope remains at the end of three half-lives?

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Answer:

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Explanation:

Answer: [tex]0.75\times 10^{-12}[/tex]

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 = [tex]6\times 10^{-12} g[/tex]

n = number of half lives = 3

Putting values in above equation, we get:

[tex]a=\frac{6\times 10^{-12} }{2^3}[/tex]

[tex]a=\frac{6\times 10^{-12} }{8}[/tex]

[tex]a=0.75\times 10^{-12}[/tex]

Therefore, the amount of carbon-14 left after 3 half lives will be [tex]0.75\times 10^{-12}g[/tex]