Math Problem Statement
Gallium has two naturally occurring isotopes, [\ce{Ga-69}] and [\ce{Ga-71}]. The average atomic mass of gallium is [\pu{69.72 u}].
Which pie chart best shows the relative abundances of the two isotopes in nature?
Choose 1 answer:
Choose 1 answer:
(Choice A)
Ga-69Ga-71
A
Ga-69Ga-71
(Choice B)
Ga-69Ga-71
B
Ga-69Ga-71
(Choice C)
Ga-69Ga-71
C
Solution
Given that gallium has two naturally occurring isotopes, and , with an average atomic mass of , we can infer the relative abundances of these isotopes.
Since the average atomic mass () is closer to the atomic mass of (around ) than to (around ), it indicates that is more abundant than .
Therefore, the correct pie chart should show that has a larger portion compared to . The answer corresponds to:
Choice C - The pie chart where the segment representing is larger than that of .
Would you like further details or have any other questions?
Here are 5 related questions you might find interesting:
- How do isotopic abundances affect the calculation of average atomic mass?
- Why is the average atomic mass of gallium closer to than ?
- What are the exact isotopic masses of and ?
- How can you experimentally determine the relative abundances of isotopes?
- What is the significance of isotopic abundance in chemistry and material science?
Tip: When analyzing average atomic mass, the closer the average is to an isotope's mass, the more abundant that isotope is.
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Math Problem Analysis
Mathematical Concepts
Isotopes
Atomic Mass
Average Atomic Mass
Formulas
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Theorems
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Suitable Grade Level
High School
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