The average atomic mass of chlorine (Cl) is 35.453 amu. Chlorine has two isotopes: Cl-35 (34.969 amu) and Cl-37 (36.966 amu). What is the percent abundance of Cl-37?
Options
A
24.2%
B
75.8%
C
50.0%
D
37.0%
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves calculating the percent abundance of a specific isotope (Cl-37) using the element’s average atomic mass and two isotope masses.
The main focus is on setting up and solving a linear algebraic equation for isotope abundances.
Key Concept Explanation
For two isotopes: Let = % abundance of isotope 1, isotope 2 = %.
Average atomic mass = (mass₁× ) + (mass₂× ).
Step-by-Step Solution
1. Let = % abundance of Cl-35, Cl-37 = %
2. Equation:
3. Multiply by 100:
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