Has two naturally occurring isotopes, and , with masses of 68.9257 u and 70.9249 u, respectively. calculate the percent abundances of these isotopes of gallium.

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06-09-2022
Chemistry

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Has two naturally occurring isotopes, and , with masses of 68.9257 u and 70.9249 u, respectively. calculate the percent abundances of these isotopes of gallium.

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aryanagarwal466 aryanagarwal466 · Answer 1 · 2022-09-09T04:31:25-04:00

The percentage abundance of isotopes of gallium is 61.56% is Ga-70.92 & 38.44% is Ga-68.93.

What do you mean by gallium?

Gallium (31Ga) is composed of two stable isotopes: gallium-69 and gallium-71. Gallium-67 and gallium-68 are the most commercially important radioisotopes.

Gallium-67 (half-life: 3.3 days) is a gamma-emitting isotope (the gamma ray emitted immediately after electron capture) that is used in standard nuclear medical imaging procedures known as gallium scans. It is most commonly used as the free ion, Ga3+. It is the gallium radioisotope with the longest half-life.

Are gallium isotopes naturally occurring?

Gallium has two naturally occurring isotopes: Ga-69 (mass 68.9256 amu, natural abundance 60.11%), and Ga-71 (mass 70.9247 amu, natural abundance 39.89%).

Calculate the percent abundances of these isotopes of gallium.

Gallium's average atomic mass =[tex]\frac{68.9257 +70.9249}{2}[/tex]

=69.9253

Let x equal the percentage abundance of the first isotope.

by utilizing

AAM=[tex]\frac{W_{1}X_{1} * W_{2} X_{2} }{100}[/tex]

[tex]69.70 = \frac{70.925 *X +68.926 * (1-X)}{100}[/tex]

[tex]69.70 = 70.925X + 68.926 - 68.926 X[/tex]

x = 61.56%

61.56% is Ga-70.92. (100-61.56)

& 38.44% is Ga-68.93.

The percentage abundance of isotopes of gallium is 61.56% is Ga-70.92 & 38.44% is Ga-68.93.

Learn more about isotopes here:-

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Sagot :

What do you mean by gallium?

Are gallium isotopes naturally occurring?

Calculate the percent abundances of these isotopes of gallium.

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