Answered

Chlorine has two isotopes, 35Cl and 37Cl; 75.77% of chlorine is 35Cl, and 24.23% is 37Cl. The atomic mass of 35Cl is 34.969 amu, and the atomic mass of 37Cl is 36.966 amu. What is the atomic weight of chlorine?

Answer :

Answer: The average atomic mass of chlorine is 35.45 amu

Explanation:

Mass of isotope - 35 = 34.969 amu

% abundance of isotope-35 = 75.77% = [tex]\frac{75.77}{100}=0.7577[/tex]

Mass of isotope - 37 = 36.966 amu.

% abundance of isotope-37  = 24.23% = [tex]\frac{24.23}{100}=0.2423[/tex]

Formula used for average atomic mass of an element :

[tex]\text{ Average atomic mass of an element}=\sum(\text{atomic mass of an isotopes}\times {{\text { fractional abundance}})[/tex]

[tex]A=\sum[(34.969 \times 0.7577)+(36.966 \times 0.2423)[/tex]

[tex]A=35.45amu[/tex]

Therefore, the average atomic mass of chlorine is 35.45 amu

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