Answer to Question #221339 in General Chemistry for Pheebs

Question

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?

Answer 1

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

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

$6972.3=68.9257x-70.59x+7059$

$1.6643x=86.7$

$x=52.09\%$

percentage of gallium 61=52.09$\%$

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