Iron exists in nature as a mixture of predominantly three isotopes: ⁵⁴₂₆Fe (53.94 amu), ⁵⁶₂₆Fe (55.93 amu), and ⁵⁷₂₆Fe (56.94 amu). If the most common isotope, ⁵⁶₂₆Fe, accounts for 91.75% of iron atoms, and the average atomic mass of iron is 55.85 amu, what is the percent abundance of the rarest of these three isotopes of iron?

Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter3: Mass Relations In Chemistry; Stoichiometry
Section: Chapter Questions
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Iron exists in nature as a mixture of predominantly three isotopes: ⁵⁴₂₆Fe (53.94 amu), ⁵⁶₂₆Fe (55.93 amu), and ⁵⁷₂₆Fe (56.94 amu). If the most common isotope, ⁵⁶₂₆Fe, accounts for 91.75% of iron atoms, and the average atomic mass of iron is 55.85 amu, what is the percent abundance of the rarest of these three isotopes of iron?

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How did you know to make Fe 54 x and Fe 57 .0825 -x 

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