Answer :
Final answer:
The percentage abundance of Ga-69 is 40.0% and the percentage abundance of Ga-71 is 60.0% (a). The average atomic mass of an element can be calculated using the relative abundance of its isotopes.
Explanation:
The average atomic mass of an element can be calculated using the relative abundance of its isotopes. In this case, gallium has two naturally occurring isotopes with mass numbers 69 and 71, respectively. The relative atomic mass (RAM) of gallium is given as 70.59. To find the percentage abundance of each isotope, we need to solve a system of equations.
Let the percentage abundance of Ga-69 be x, and the percentage abundance of Ga-71 be y. The sum of the percentage abundances should be 100%, so x + y = 100. We can also set up an equation using the average atomic mass:
x(69) + y(71) = 70.59
Solving this system of equations gives us:
x = 40.0% and y = 60.0%
Therefore, the percentage abundance of Ga-69 is 40.0% and the percentage abundance of Ga-71 is 60.0%. So, the correct answer is option a) 40.0% Ga-69, 60.0% Ga-71.
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