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Multiple Choice
An element has two naturally occurring isotopes. One has an abundance of 37.40% and an isotopic mass of 184.953 amu, and the other has an abundance of 62.60% and a mass of 186.956 amu. What is the average atomic mass of the element?
A
186.500 amu
B
185.000 amu
C
186.000 amu
D
185.847 amu
Verified step by step guidance
1
Identify the isotopic abundances and masses: Isotope 1 has an abundance of 37.40% and a mass of 184.953 amu, while Isotope 2 has an abundance of 62.60% and a mass of 186.956 amu.
Convert the percentage abundances into decimal form by dividing by 100: 37.40% becomes 0.3740 and 62.60% becomes 0.6260.
Calculate the contribution of each isotope to the average atomic mass by multiplying the isotopic mass by its decimal abundance: For Isotope 1, multiply 184.953 amu by 0.3740. For Isotope 2, multiply 186.956 amu by 0.6260.
Add the contributions from both isotopes to find the average atomic mass of the element: Sum the results from the previous step.
The calculated average atomic mass will be the weighted average based on the isotopic abundances and masses, which should match one of the given options.