If NaCI is doped with 10-3 mole % of SrCl2, then number of cationic vacancies is
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a
6.02×10-18mol-1
b
10-5mol-1
c
6.02×1020mol-1
d
6.02×1018mol-1
answer is D.
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Detailed Solution
Due to the addition of SrCl2, each Sr2+ ion replaces two Na+ ions, but occupies one Na+ lattice point. Thus, this exchange of Na+ ion by Sr2+ ion makes one cationic vacancy. SrCl2 doped =10-3 mol per 100 mol=10-5 mol per 1 mol∴ Cation vacancies =10-5 mol per 1 mol =10-5×N0mol-1 =10-5×6.02×1023Total =6.02×1018 cationic vacancies mol-1 ORIn 100 moles of NaCl →10-3 moles of SrCl2 presentIn 1 mole of NaCl →? =10-5 moles of SrCl2Number of moles of cationic vacancies = Number of moles of Sr+2 ions present = 10-5 molesTherefore number of cationic vacancies = 10-5 X 6 X 1023 = 6 × 1018/mole