Question

Is natural abundance of chlorine isotopes are not equal?

Answer 1

To calculate the average mass, first convert the percentages into fractions (divide them by 100). Then, calculate the mass numbers. The chlorine isotope with 18 neutrons has an abundance of 0.7577 and a mass number of 35 amu.

Answer 2

Yes the natural abundance of chlorine isotopes are not equal.

Explanation:

Mass of isotope 1 = 35 amu

% abundance of isotope 1 = x% = $\frac{x}{100}$

Mass of isotope 2 = 37 amu

% abundance of isotope 2 = (100-x)%= $\frac{100-x}{100}$

Formula used for average atomic mass of an element :

$\text{Average atomic mass }=\sum_{i=1}^n\text{(Atomic mass of an isotopes)}_i\times \text{(Fractional abundance})_i$

where i is equal to 2,3 ......

$35.5=\sum[(35\times \frac{x}{100})+(37\times \frac{100-x}{100})$

Solving for x, we get

$x=75\%$

Thus abundance of isotope- 35 is 75% and that of isotope-37 is 25%

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