Calculate the value of Avogadro's number from the following data:
Density of `NaCl = 2.165 g cm^(-3)`
Distance between `Na^(o+)` and `Cl^(Θ)` in `NaCl = 281` pm

Explanation

For NaCl structure, `a = 2(r_(Na^(+))+r_(Cl^(-)))` or `a = 2xx` distance between nearest neighbours
`a=2xx281=562` pm `= 562xx10^(-10)cm`
`rho = (Z xx M)/(N_(0)xx a^(3))`
`N_(0)=(Z xx M)/(rho xx a^(3))`
`N_(0)=(4xx58.5)/(2.165xx(562xx10^(-10))^(3))`
On calculation Avogadro.s Number `= 6.02xx10^(23)mol^(-1)`