Answer :
Final answer:
The percent abundance for Ni-57 is approximately 14.5% and the percent abundance for Ni-59 is approximately 85.5%.
Explanation:
To determine the percent abundance of each isotope of nickel (Ni), we can use the average atomic mass of nickel on the periodic table. The average atomic mass of nickel is 58.71 amu. We are given two isotopes: Ni-57 and Ni-59. Let the percent abundance of Ni-57 be x and the percent abundance of Ni-59 be (100 - x), since the total percent abundance of all isotopes adds up to 100%. We can set up the following equation:
(x/100)(57 amu) + ((100 - x)/100)(59 amu) = 58.71 amu
Simplifying the equation, we get:
57x + 5900 - 59x = 5871
2x = 29
x = 14.5%
Therefore, the percent abundance for Ni-57 is approximately 14.5% and the percent abundance for Ni-59 is approximately 85.5%.
