Q.

KBr is doped with 10–5 mole percent of SrBr2. The number of cationic vacancies in 1 g of KBr crystal is ____ 1014.
(Atomic Mass: K : 39.1u, Br : 79.9u; NA = 6.023 × 1023)

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answer is 5.

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Detailed Solution

There is one cationic vacancy produced for every Sr+2 ion. Sr+2 ion number therefore equals the number of cationic vacancies.
Given that the ratio of SrBr2 doped moles to total KBr moles is 10-5.
Number of cationic vacancies 

 =10-5100×1119×NA = 1119×10-7×6.022×1023
=5×10-2×10-7×1023=5×1014=5

Therefore, the correct answer is 5

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