Respuesta :
The average atomic mass of silver is 107.8682 amu. The fractional abundance of the lighter of the two isotopes is 0.5185.
The metal has always been in perfect plenty. Both heavier and lighter particles have a combined abundance of 1.
Assume that a is the heavier particle's abundance.
The lighter particle will have an abundance of = 1-a.
Calculations for the element's atomic mass with isotopes go like this:
Average atomic mass equals the sum of the abundance of isotope 1 and isotope 2 masses.
107.8682 amu is the specified average atomic mass.
Lighter isotope 1 has a mass of 106.90509 amu.
The heavier isotope has a mass of 108.9047 amu.
putting the values :
107.8682 = 106.90509 (1 - a) + 108.9047a
107.8682 = 106.90509 - 106.90509a + 108.9047a
107.8682 - 106.90509 = 1.99961a
0.96311 = 1.99961a
a = 0.48
Thus, 0.48 is the heavier particle abundance.
Lighter particle abundance = 1 - a
The density of lighter particles is equal to 1 - 0.48.
Lighter particle abundance = 0.518
The lighter particle has a percent abundance of 51.8%.
The lighter of the two isotopes has a fractional abundance of 0.5185.
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 ________. Silver has two naturally occurring isotopes with the following isotopic masses: Ag Ag 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 ________. 0.24221 0.48168 0.75783 0.90474 0.51835
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