Answer to Question #139271 in General Chemistry for Isurini Sirisena

Question #139271
A sample of copper contains two isotopes of relative isotopic mass 63.0 and 65.0. If the relative
atomic mass of copper is 63.5, calculate the relative abundance of each isotope.
1
Expert's answer
2020-10-20T08:36:14-0400

Solution:

Let X be the relative abundance of the isotope with relative mass 63.0. Then the relative abundance of the 65.0 isotope is (1-X). Thus:

63.0×X+65.0×(1X)=63.563.0\times{X}+65.0\times(1-X)=63.5

65.02×X=63.565.0-2\times{X}=63.5

X=0.75X=0.75

The relative abundance of the isotope with mass 63.0 is 0.75=75%0.75=75\% . Therefore, the relative abundance of the 65.0 isotope is (10.75)=0.25=25%(1-0.75)=0.25=25\% .


Answer:

The relative abundance of the isotope with mass 63.0 is 0.75=75%0.75=75\% . Therefore, the relative abundance of the 65.0 isotope is 0.25=25%0.25=25\% .


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