calculate atomic weight of silver which has two isotopes with the following properties : silver-107 (106.91 amu, 51.84% natural occurence) and silver-109 (108.90 amu, 48.16% natural occurence). please help

Respuesta :

Answer: The atomic weight of silver is 107.87 amu

Explanation:

Mass of isotope silver-107  = 106.91 amu

% abundance of isotope silver -107 = 51.84% = [tex]\frac{51.84}{100}=0.5184[/tex]

Mass of isotope silver-109 = 108.90 amu

% abundance of isotope silver-109  = 48.16% = [tex]\frac{48.16}{100}=0.4816[/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[(106.91\times 0.5184)+(108.90\times 0.4816)][/tex]

[tex]A=107.87amu[/tex]

Thus atomic weight of silver is 107.87 amu