2. Calculate the average atomic mass of element, X. A sample of X is 22.50% X-37 and 77.50% X-35.36.00 amu35.45 amu37.05 amu35.02 amu
Question
Calculate the average atomic mass of element, X.
A sample of X is 22.50% X-37 and 77.50% X-35.
- 36.00 amu
- 35.45 amu
- 37.05 amu
- 35.02 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:
-
Convert the percentages to decimals: 22.50% becomes 0.2250 and 77.50% becomes 0.7750.
-
Multiply the mass of each isotope by its relative abundance:
- For X-37: 37.05 amu * 0.2250 = 8.33625 amu
- For X-35: 35.45 amu * 0.7750 = 27.47375 amu
-
Add these values together to find the average atomic mass: 8.33625 amu + 27.47375 amu = 35.81 amu
So, the average atomic mass of element X is approximately 35.81 amu.
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