Q.40

Expert-verifiedFound in: Page 1237

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

| The element gallium has two stable isotopes: 69 Ga with an atomic mass of 68.92 u and 71 Ga with an atomic mass of 70.92 u. A periodic table shows that the chemical atomic mass of gallium is 69.72 u. What is the percent abundance of 69 Ga?

Calculate the percent abundance of nucleus ^{69}Ga.

Consider x_{1} and x_{2 }are the fractions of nuclei ^{69}Ga and ^{71}Ga respectively. The total fraction of two isotopes is equal to one. That is,

x_{1}+x_{2}=1

Rearrange the equation for x_{2}

x_{2} =1-x_{1}

That is,

Substitute 1-x_{2} for x_{2} in the above equation and solve for x_{1}

Therefore, the abundance percentage of nucleus ^{69}Ga is 60 %.

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