Explanation + Answer: The atomic mass of silver is 107.87, which is a weighted average of the atomic masses of its isotopes. This means that the two most abundant isotopes of silver must have atomic masses that are close to 107.87.
The two most abundant isotopes of silver are silver-107 and silver-109. Silver-107 has an atomic mass of 106.905092, and silver-109 has an atomic mass of 108.904755. These atomic masses are very close to the atomic mass of silver, so it is likely that these are the two most abundant isotopes of silver.
Another way to think about this problem is to consider the weighted average of the atomic masses of silver-107 and silver-109. The weighted average is calculated by multiplying the atomic mass of each isotope by its abundance and then adding the products together.
Weighted average of atomic masses = (atomic mass of silver-107 * abundance of silver-107) + (atomic mass of silver-109 * abundance of silver-109)
Since silver-107 and silver-109 are the two most abundant isotopes of silver, their abundances must add up to 100%. Therefore, the weighted average of the atomic masses of silver-107 and silver-109 is equal to the atomic mass of silver.
This confirms that silver-107 and silver-109 are the two most abundant isotopes of silver.
Therefore, the most likely atomic masses of the two most abundant isotopes of silver are 106.905092 and 108.904755.
Hope it helped.