QUESTION IMAGE
Question
why is the atomic mass of iron, 55.845 amu, most similar to the mass of iron-56, yet less than 56 amu?
the atomic mass is the weighted average of the masses of the two most abundant isotopes. iron-56 is the most abundant isotope, so the atomic mass of iron is most similar to the mass of iron-56. the second most abundant isotope is iron-54, which reduces the atomic mass to less than 56 amu.
the atomic mass is the simple average of the masses of all of the isotopes. iron-56 is the most abundant isotope, so the atomic mass of iron is most similar to the mass of iron-56. the second most abundant isotope is iron-54, which reduces the atomic mass to less than 56 amu.
the atomic mass is the simple average of the masses of the two most abundant isotopes. iron-56 is the most abundant isotope, so the atomic mass of iron is most similar to the mass of iron-56. the second most abundant isotope is iron-54, which reduces the atomic mass to less than 56 amu.
the atomic mass is the weighted average of the masses of all of the isotopes. iron-56 is the most abundant isotope, so the atomic mass of iron is most similar to the mass of iron-56. the second most abundant isotope is iron-54, which reduces the atomic mass to less than 56 amu.
To determine the correct answer, we recall that atomic mass is a weighted average of the masses of all isotopes, where the weight is the relative abundance of each isotope.
- The first option is incorrect because atomic mass is a weighted average of all isotopes (not just the two most abundant).
- The second option is incorrect as atomic mass is not a simple average (it's weighted by abundance).
- The third option is incorrect because it's a weighted average of all isotopes (not a simple average of two) and includes all isotopes, not just two.
- The fourth option is correct: atomic mass is the weighted average of all isotopes. Iron - 56 is the most abundant, so the atomic mass is close to its mass, and the presence of lighter, less abundant isotopes (like iron - 54) lowers the average below 56 amu.
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The atomic mass is the weighted average of the masses of all of the isotopes. Iron - 56 is the most abundant isotope, so the atomic mass of iron is most similar to the mass of iron - 56. The second most abundant isotope is iron - 54, which reduces the atomic mass to less than 56 amu. (The fourth option)