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Chemistry Question on Structure of atom

Chlorine exists in two isotopic forms, Cl37Cl-37 and Cl35Cl-35 but its atomic mass is 35.535.5. This indicates the ratio of Cl37Cl-37 and Cl35Cl-35 is approximately

A

1:21 : 2

B

1:41 : 4

C

1:31 : 3

D

3:13 : 1

Answer

1:31 : 3

Explanation

Solution

The correct answer is Option C) 1:31 : 3

Let the relative abundance of Cl37=x%Cl-37 = x\% then the relative abundance of Cl35=(100x)%Cl-35 = (100 - x)\%

Average atomic mass =x×37+(100x)35100=\frac{x \times 37+\left(100-x\right)35}{100} =35.5=35.5 37x+350035x\Rightarrow 37x+3500-35x =3550x=25=3550 \Rightarrow x=25 100x=75\therefore 100-x=75

Thus, the ratio of Cl37Cl-37 and Cl35Cl-35 is xx : (100x)(100 - x) =25:75=25 : 75 1:31 : 3

Read more from the chapter:**Structure of Atom **