Solid State Question 40

Question: If $ NaCl $ is doped with $ {{10}^{-4}}mol% $ of $ SrCl_2 $ , the concentration of cation vacancies will be $ (N _{A}=6.02\times 10^{23}mo{{l}^{-1}}) $

Options:

A) $ 6.02\times 10^{16}mo{{l}^{-1}} $

B) $ 6.02\times 10^{17}mo{{l}^{-1}} $

C) $ 6.02\times 10^{14}mo{{l}^{-1}} $

D) $ 6.02\times 10^{15}mo{{l}^{-1}} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Since each $ S{{r}^{++}} $ ion provides one cation vacancy, hence Concentration of cation vacancies = mole % of $ SrCl_2 $ added $ ={{10}^{-4}}mole $ % $ =\frac{{{10}^{-4}}}{100}\times 6.023\times 10^{23}=6.023\times 10^{17} $