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14. Carbon-14 emits beta radiation and decays with a half-life (t) of 5730 years. Assume
that you start with a mass of 6000 g of carbon 14. How many grams of the isotope
remains at the end of four half-lives? You must show your work to receive credit.

Respuesta :

Answer: 375 g

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 = 100 g

n = number of half lives = 4

Putting values in above equation, we get:

[tex]a=\frac{6000}{2^4}[/tex]

[tex]a=375g[/tex]

Therefore, the amount of carbon-14 remains at the end of four half-lives is 375 g

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