## Silver has two naturally occurring isotopes with the following isotopic masses: 10747Ag 10947Ag 106.90509 108.9047 The average atomic mass o

Question

Silver has two naturally occurring isotopes with the following isotopic masses: 10747Ag 10947Ag 106.90509 108.9047 The average atomic mass of silver is 107.8682 amu. The fractional abundance of the lighter of the two isotopes is ________.

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3 years 2021-07-14T02:01:54+00:00 1 Answers 38 views 0

1. Answer: The fractional abundance of lighter isotope is 0.518

Explanation:

Average atomic weight is the sum of the masses of the individual isotopes each multiplied by its fractional abundance. The equation used is:           ……(1)

Let the fractional abundance of Ag-107 isotope be ‘x’

• For Ag-107 isotope:

Atomic mass = 106.90509 amu

Fractional abundance = x

• For Ag-109 isotope:

Atomic mass = 108.9047 amu

Fractional abundance = (1 – x)

Average atomic mass of silver = 107.8682 amu

Plugging values in equation 1:

Fractional abundance of Ag-107 isotope (lighter) = x = 0.518

Hence, the fractional abundance of lighter isotope is 0.518