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The average atomic mass of 6li and 7li are 6.0151 amu and 7.0160 amu, respectively. calculate the natural abundances of 6li. the average atomic mass of li is 6.941 amu.

Answer :

Average atomic mass = f1M1 + f2M2 +… + fnMn

where f is the fraction representing the natural abundance of the isotope and M is the mass number (weight) of the isotope.

let x be the fraction of ^6li  ,

then fraction abundance of [tex]^7li[/tex]  will be (1-x)

now applying above equation:

6.941 = x × 6.0151  +(1-x) 7.0160

1.0009x = 0.075

x = 0.0749

so % of [tex]^6li[/tex]= 7.49%

% of [tex]^7li[/tex]= 92.50%

  • Average Atomic Mass is the average mass of an element based on the percent abundance of each isotope of that element. (atoms with different number of neutrons, but same number of protons).

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