Question #221339
Gallium has 2 natural occuring isotopes with mass number of 69 and 71 repectively. What is the percentage if both their relatively atomic mass 70.59amu?
1
Expert's answer
2021-07-30T05:37:02-0400

let the percentage of gallium 69 =x

percentage of gallium 71=100-x

mass of gallium 71= 70.59

let the mass of gallium 69=68.9257

atomic mass of gallium from the periodic table = 69.723

69.723=68.9257x+70.59(100x)10069.723=\frac{68.9257x +70.59(100-x)}{100}

6972.3=68.9257x70.59x+70596972.3=68.9257x-70.59x+7059

1.6643x=86.71.6643x=86.7

x=52.09%x=52.09\%

percentage of gallium 61=52.09%\%

percentage of gallium 71 = 100-52.09=47.91%\%


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