3. Calculate the average atomic mass of element, X. A sample of X is 62.00% X-121 and 38.00% X-123.121.76 amu122.00 amu121.25 amu123.00 amu
Question
Calculate the average atomic mass of element, X.
A sample of X is 62.00% X-121 and 38.00% X-123.
- X-121: 121.76 amu
- X-123: 122.00 amu
- Other options: 121.25 amu, 123.00 amu
Solution
To calculate the average atomic mass of an element, you need to multiply the mass of each isotope by its relative abundance (as a decimal), then add those values together.
Here's how you can do it for element X:
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Convert the percentages to decimals by dividing by 100. So, 62.00% becomes 0.62 and 38.00% becomes 0.38.
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Multiply the mass of each isotope by its relative abundance. For X-121, this would be 121.76 amu * 0.62 = 75.4912 amu. For X-123, this would be 123.00 amu * 0.38 = 46.74 amu.
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Add these two values together to get the average atomic mass of element X. So, 75.4912 amu + 46.74 amu = 122.2312 amu.
So, the average atomic mass of element X is approximately 122.23 amu.
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