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The average atomic mass of ga is 69.72 amu. Calculate the abundance of each isotope.

User Itsik
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Answer:

Abundance of Ga 70.925 is 0.399 and percentage abundance of Ga 39.9%

Abundance of Ga 68.926 is 0.601 and percentage abundance is 60.1 %.

Step-by-step explanation:

we know there are two naturally occurring isotopes of gallium Ga 68.926 and Ga 70.925.

First of all we will set the fraction for both isotopes

X for the isotopes having mass 70.925

1-x for isotopes having mass 68.926

The average atomic mass of Ga is 69.72.

we will use the following equation,

70.925 x + 68.926 (1-x) = 69.72

70.925 x + 68.926 - 68.926x = 69.72

70.925x- 68.926x = 69.72 - 68.926

1.99 x = 0.794

x= 0.794/ 1.99

x= 0.399

abundance of Ga 70.925 is 0.399, because we solve the fraction x.

0.399 × 100 = 39.9 %

39.9 % is percentage abundance of Ga 70.925

now we will calculate the abundance of Ga 68.926.

(1-x)

1 - 0.399 = 0.601

abundance of Ga 68.926 is 0.601 and percentage abundance is

0.601 × 100= 60.1 %

User Debdeep
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