Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

why is the atomic mass of iron, 55.845 amu, most similar to the mass of…

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.

Explanation:

Brief Explanations

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.

Answer:

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)