An element has three isotopes with the following properties: Isotope 1: mass 14 amu, natural abundance 20%; Isotope 2: mass 15 amu, natural abundance 50%; Isotope 3: mass 16 amu, natural abundance 30%. The average atomic mass of the element is _______ amu.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to calculate the average atomic mass for an element with multiple isotopes.
Key Concept Explanation
The average atomic mass is the sum of the products of each isotope's mass and its fractional abundance.
Step-by-step Solution
1. Convert the natural abundances to fractional abundances: 20% = 0.20, 50% = 0.50, 30% = 0.30.
2. Multiply each isotope's mass by its fractional abundance: , ,
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