An unknown element X has the following isotopes: 52^ X (90.00% abundant, 49^X (8.00% abundant), 50^X (2.00% abundant). What is the approximate atomic mass of X?
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Answer: The average atomic mass of X is 51.72 amu.
Explanation:
Average atomic mass of an element is defined as the sum of masses of each isotope each multiplied by their natural fractional abundance.
Formula used to calculate average atomic mass follows:
.....(1)
- For isotope:
Mass of isotope = 52 amu
Percentage abundance of isotope = 90.00 %
Fractional abundance of isotope = 0.9000
- For isotope:
Mass of isotope = 49.00 amu
Percentage abundance of isotope = 8.00 %
Fractional abundance of isotope = 0.0800
- For isotope:
Mass of isotope = 50.00 amu
Percentage abundance of isotope = 2.00 %
Fractional abundance of isotope = 0.0200
Putting values in equation 1, we get:
Hence, the average atomic mass of X is 51.72 amu.
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