The Solid State Ques 30

30. If $NaCl$ is doped with $10^{-4} mol \%$ of $SrCl_2$, the concentration of cation vacancies will be

[2007]

$(N_A=6.02 \times 10^{23} mol^{-1})$

(a) $6.02 \times 10^{16} mol^{-1}$

(b) $6.02 \times 10^{17} mol^{-1}$

(c) $6.02 \times 10^{14} mol^{-1}$

(d) $6.02 \times 10^{15} mol^{-1}$

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Answer:

Correct Answer: 30.(b)

Solution:

(b) For each $Sr^{2+}$ ion added, one $Na^{+}$ion is removed to maintain the electrical neutrality. Hence concentration of cation vacancies $=$ mole $%$ of $SrCl_2$ added $=10^{-4} mole$ %

$=\frac{10^{-4}}{100} \times 6.023 \times 10^{23}=6.023 \times 10^{17}$