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Question

Chemistry Question on Atomic and Molecular Masses

Calculate the atomic mass (average) of chlorine using the following data:
% Natural Abundance Molar Mass
35Cl^{35}\text{Cl} 75.77 34.9689
37Cl^{37}\text{Cl} 24.23 36.9659

Answer

The average atomic mass of chlorine

= [(Fractional abundance of 35Cl^{35}\text{Cl})(Molar mass of 35Cl^{35}\text{Cl}) + (Fractional abundance of 35Cl^{35}\text{Cl})(Molar mass of 35Cl^{35}\text{Cl})]

=[(75.77100)(34.9689u)+(24.23100)(36.9659u)]= \bigg[{(\frac{75.77 }{ 100})(34.9689 u)} + {(\frac{24.23 }{ 100})(36.9659 u)}\bigg]
= 26.4959 + 8.9568
= 35.4527 u
∴ The average atomic mass of chlorine = 35.4527 u