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Filling in Missing Isotopic Data for Antimony (Sb)

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

Q2. Fill in the missing isotopic data of Antimony (Sb) in the following table:

Isotopic data table for Antimony (Sb)

Background

Topic: Isotopes and Atomic Mass

This question tests your understanding of isotopes, their masses, and natural abundances. You are asked to complete a table with missing information about the isotopes of antimony (Sb).

Key Terms and Formulas

  • Isotope: Atoms of the same element with different numbers of neutrons (and thus different mass numbers).

  • Isotopic Mass (amu): The mass of a specific isotope, measured in atomic mass units (amu).

  • Abundance (%): The percentage of a particular isotope found in nature.

Step-by-Step Guidance

  1. Examine the table: You are given the mass and symbol for one isotope ($^{121}\mathrm{Sb}$, 120.9038 amu) and the abundance for another isotope (42.79%).

  2. Recall that naturally occurring antimony has two main isotopes: $^{121}\mathrm{Sb}$ and $^{123}\mathrm{Sb}$.

  3. Use the information provided to match the missing data: The isotope with 42.79% abundance must be the other main isotope of Sb.

  4. To fill in the missing mass, recall that the isotopic mass for $^{123}\mathrm{Sb}$ is typically around 122.904 amu (you may need to check a periodic table or data source for the exact value).

  5. To fill in the missing abundance for $^{121}\mathrm{Sb}$, remember that the total abundance for all isotopes must add up to 100%. Set up the equation: $\text{Abundance of } ^{121}\mathrm{Sb} = 100\% - 42.79\%$.

Try solving on your own before revealing the answer!

Final Answer:

The missing isotope is $^{123}\mathrm{Sb}$, with an isotopic mass of approximately 122.9049 amu and an abundance of 42.79%. The abundance for $^{121}\mathrm{Sb}$ is 57.21%.

  • $^{121}\mathrm{Sb}$, Isotopic Mass: 120.9038 amu, Abundance: 57.21%

  • $^{123}\mathrm{Sb}$, Isotopic Mass: 122.9049 amu, Abundance: 42.79%

We used the fact that the two main isotopes of antimony are $^{121}\mathrm{Sb}$ and $^{123}\mathrm{Sb}$, and that their abundances must sum to 100%.

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