whats the average atomic mass of silver according to the following data? use four decimal points
Silver-107 107.03528 51.86
Silver-109 109.12006 remainder
.5186*107.03528 + (1-.5186)*109.12006=?
To find the average atomic mass of silver, we need to take into account the masses of both isotopes of silver (Ag-107 and Ag-109) and their respective abundances.
The abundance of Ag-107 is given as 51.86, which represents the percentage relative to a total of 100%. Therefore, the abundance of Ag-109 would be the remainder (100 - 51.86 = 48.14).
Next, we calculate the weighted average of the atomic masses using the formula:
Average Atomic Mass = (Mass of Isotope 1 x Abundance of Isotope 1 + Mass of Isotope 2 x Abundance of Isotope 2) / 100
Plugging in the values:
Average Atomic Mass = (107.03528 x 51.86 + 109.12006 x 48.14) / 100
Performing the calculation:
Average Atomic Mass = (5555.015268 + 5258.677508) / 100
Average Atomic Mass = 10813.692776 / 100
Average Atomic Mass = 108.1369 (rounded to four decimal places)
Therefore, the average atomic mass of silver, based on the provided data, is 108.1369.