Answer:
151.94 u
Explanation:
The atomic mass of Eu is the weighted average of the atomic masses of its isotopes.
We multiply the atomic mass of each isotope by a number representing its relative importance (i.e., its percent abundance).
The atomic masses of Eu-151 and Eu-153 are 150.92 u and 152.92 u, respectively.
Set up a table for easy calculation.
0.4803 × 150.92 u = 72.472 u
0.5197 × 152.92 u = 79.473 u
TOTAL = 151.94 u
152.04 u is the atomic mass of europium.
Given:
The two isotopes of europium(Eu).
Europium-151 has an abundance of 48.03% and Europium-153 has an abundance of 51.97%
To find:
The atomic mass of europium.
Solution:
Mass of Europium-151 = 151 u
The percentage abundance of Europium-151 = 48.03%
The fractional abundance of Europium-151 = 0.4803
Mass of Europium-153 = 153 u
The percentage abundance of Europium-153 = 51.97%
The fractional abundance of Europium-153 = 0.5197
The average atomic mass of Europium = A.M
[tex]A.M=\Sum{\text{Mass of isotope }\times \text{Fractional abundance of isotope}}\\=151u\times 0.4803+153u\times 0.5197=152.0394 u\approx 152.04 u[/tex]
152.04 u is the atomic mass of europium.
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