Question
Gallium is an important element in the production of semiconductors. The average atomic mass of $_{69}^{31}$ Ga $(68.9256$ amu$)$ and ${ }_{31}^{71} \mathrm{Ga}(70.9247 amu $)$ is 69.72 amu. Calculate the natural abundances of thegallium isotopes.
Step 1
The weights are the natural abundances of the isotopes. Let's denote the natural abundance of $_{31}^{69}$Ga as $x$ (in decimal form, not percentage). Then the natural abundance of $_{31}^{71}$Ga is $1-x$. Show more…
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Gallium is an important element in the production of semiconductors. The average atomic mass of $_{69}^{31}$ Ga $(68.9256$ amu$)$ and ${ }_{31}^{71} \mathrm{Ga}(70.9247 amu $)$ is 69.72 amu. Calculate the natural abundances of the gallium isotopes.
Gallium is an important element in the production of semiconductors. The average atomic mass of $_{31}^{69} \mathrm{Ga}$ $(68.9256\ \mathrm{amu})$ and $_{31}^{71} \mathrm{Ga}(70.9247\ \mathrm{amu})$ is 69.72 amu. Calculate the natural abundances of the gallium isotopes.
Gallium has two naturally occurring isotopes, 69 $\mathrm{Ga}$ (isotopic mass $=68.9256$ amu, abundance $=60.11 \%$ ) and $^{n}$ Ga (isotopic mass $=70.9247$ amu, abundance $=39.89 \%$ ). Calculate the atomic mass of gallium.
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