A sample of rock is found to contain 100 grams of a parent isotope. How many grams of the parent isotope will remain after one half-life?

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Accepted Answer

Answer:50 grams of the parent isotope will remain after one half-life.Explanation:Formula used to calculate remaining amount of an isotope after n half lives:[tex]A=\frac{A_o}{2^n}[/tex]
where,
A = Amount of isotope left after n-half lives [tex]A_o[/tex] = Initial amount of an isotopen = number of half livesInitial amount of an isotope =[tex]A_o[/tex]= 100 gNumber of half lives = 1[tex]A=\frac{100 g}{2^1}=50 g[/tex]
50 grams of the parent isotope will remain after one half-life.

Suggested Answer

The half-life of an isotope is the time taken for 50% of the isotope to decay, so after one half-life, half the original isotope is left.

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