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Answer :
Final answer:
To calculate the percent abundance of isotope Y-97, we can use the average atomic mass and the masses of the isotopes. By setting up an equation and solving for x, we can find the percent abundance of isotope Y-97.
Explanation:
The percent abundance of an isotope can be calculated if the average atomic mass and the masses of the isotopes are known. In this case, the average atomic mass of element Y is 98.3. Let's assume that the percent abundance of isotope Y-97 is x. The percent abundance of isotope Y-99 can be calculated by subtracting x from 100%. Therefore, the percent abundance of isotope Y-99 is (100 - x)%.
The average atomic mass can be calculated using the formula: Average Atomic Mass = (Mass of Isotope Y-97 x Abundance of Y-97) + (Mass of Isotope Y-99 x Abundance of Y-99) Substituting the given values, we get:
98.3 = (97 x x/100) + (99 x (100 - x)/100) Simplifying this equation will give us the percent abundance of isotope Y-97.
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