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ioda
3 years ago
11

Silver has two naturally occurring isotopes with the following isotopic masses: 10747Ag 10947Ag 106.90509 108.9047 The average a

tomic mass of silver is 107.8682 amu. The fractional abundance of the lighter of the two isotopes is ________.
Chemistry
1 answer:
adell [148]3 years ago
6 0

<u>Answer:</u> The fractional abundance of lighter isotope is 0.518

<u>Explanation:</u>

Average atomic weight is the sum of the masses of the individual isotopes each multiplied by its fractional abundance. The equation used is:\text{Average atomic weight}=\sum_{i=1}^{n}\text{(Atomic mass of isotope)}_i\times \text{(Fractional abundance)}_i           ......(1)

Let the fractional abundance of Ag-107 isotope be 'x'

  • <u>For Ag-107 isotope:</u>

Atomic mass = 106.90509 amu

Fractional abundance = x

  • <u>For Ag-109 isotope:</u>

Atomic mass = 108.9047 amu

Fractional abundance = (1 - x)

Average atomic mass of silver = 107.8682 amu

Plugging values in equation 1:

107.8682=(106.90509 \times x) + (108.9047 \times (1-x))\\\\107.8682=106.90509x+108.9047-108.9047x\\\\1.99961x=1.0365\\\\x=0.518

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

Hence, the fractional abundance of lighter isotope is 0.518

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Hello,

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