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Multiple Choice
Calculate the atomic mass of element X given its isotopes X-45 with a mass of 44.8776 amu and 32.88% abundance, and X-47 with a mass of 46.9443 amu and 67.12% abundance.
A
44.90 amu
B
46.35 amu
C
47.00 amu
D
45.50 amu
Verified step by step guidance
1
Identify the isotopes of element X and their respective masses and abundances: X-45 with a mass of 44.8776 amu and 32.88% abundance, and X-47 with a mass of 46.9443 amu and 67.12% abundance.
Convert the percentage abundances into decimal form by dividing each by 100. For X-45, it becomes 0.3288, and for X-47, it becomes 0.6712.
Calculate the contribution of each isotope to the atomic mass by multiplying the mass of each isotope by its decimal abundance. For X-45, calculate 44.8776 amu * 0.3288, and for X-47, calculate 46.9443 amu * 0.6712.
Add the contributions from each isotope to find the weighted average atomic mass of element X. This is done by summing the results from the previous step.
The sum from the previous step gives the atomic mass of element X, which is the weighted average based on the isotopic masses and their abundances.