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Question: Chlorine exists in two isotopic forms, Cl – 37 and Cl – 35 but its atomic mass is 35.5 . This indica...

Chlorine exists in two isotopic forms, Cl – 37 and Cl – 35 but its atomic mass is 35.5 . This indicates the ratio of Cl – 37 and Cl – 35 is approximately.

A

1 : 2

B

1 : 1

C

1 : 3

D

3 : 1

Answer

1 : 3

Explanation

Solution

: Let relative abundance of Cl – 37 = x%

then relative abundance of Cl – 35 = (100 –x)%

Average atomic mass,

=x×37+(100x)35100=35.5= \frac{x \times 37 + (100 - x)35}{100} = 35.5

\Rightarrow37x+ 3500 – 35 x = 3550

\Rightarrow x = 25

\therefore 100 – x = 75

Thus, the ratio of Cl – 37 and Cl – 35 is x : (100 –x) = 25: 75 = 1: 3