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Q.

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
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