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?
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.
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:
\(A=\frac{A_o}{2^n}\)
where,
A = Amount of isotope left after n-half lives
\(A_o\) = Initial amount of an isotope
n = number of half lives
Initial amount of an isotope =\(A_o\)= 100 g
Number of half lives = 1
\(A=\frac{100 g}{2^1}=50 g\)
50 grams of the parent isotope will remain after one half-life.