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Q.

What is the distance between Na+ and Cl ions in NaCl crystal if its density is 2.165 gcm−3 .

[Atomic mass of Na=23u, Cl=35.5u, Avogadro's Number=6.023×1023]

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a

564 pm

b

282 pm

c

152 pm

d

200 pm

answer is B.

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Detailed Solution

Distance between Na+and Cl is calculated by dividing the edge length (a) by 2.

Edge length of NaCl is calculated as:

d=Z×MaNa×a32.165=4×58.56.023×1023×a3a=5.64×10-8 cm =564 pm

Distance between sodium and chloride ions is calculated as:

 rNa++rCl=564 pm2                =282 pm

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