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The distance between Na^+ and Cl^- ions ...

The distance between `Na^+` and `Cl^-` ions in NaCl with a density `3.165 g cm^(-3)` is

A

497 pm

B

248.5 pm

C

234 pm

D

538.5 pm

Text Solution

Verified by Experts

The correct Answer is:
B
`d=(ZxxM)/(a^3xxN_A)`
`a^3=(ZxxM)/(d xx N_A)=(4xx58.5)/(3.165xx6.023xx10^23)`
`a^3=122.77xx10^(-24)cm^3`
`a=4.97xx10^(-8)` cm or 497 pm
Distance between `Na^+` and `Cl^(-)=a/2=497/2`=248.5 pm
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