Silver has two naturally occurring isotopes. Ag-107 has an abundance of 51.82% and a mass of 106.9 amu. Ag-109 has a relative abundance of 48.18% and a mass of 108.9 amu. Calculate the atomic mass of Silver.

The atomic mass of silver is 107.86 amu

Explanation:

The atomic mass is calculated by formula

Atomic mass = (Mass of first isotope x Abundance of first isotope) + (Mass of Second isotope x Abundance of second isotope)

In case of silver, the formula will be as

Atomic mass = (Mass of Ag-107 x Abundance Ag-107) + (Mass of Ag-109 x Abundance Ag-109)

Mass of Ag - 107 = 106.9

Mass of Ag - 109 = 108.9

Abundance of Ag-107 = 51.82/100 = 0.5182

Abundance of Ag-109 = 48.18/100 = 0.4818

Putting these values in the formula

Atomic mass of silver = (106.9 x 0.5812) + (108.9 x 0.4818) = 107.86 amu