Question

A unit cell of sodium chloride has four formula units.
The edge length of unit cell is 0.6 nm. What is the
density of sodium chloride ?
(1) 7.60 g cm3 (2) 1.80 g cm
(3) 9.60 g cm 3 (4) 6.38 g cm​

Answer 1

you can get answers by Using the formula

Answer 2

The density of metal X is $1.80g/cm^3$

Explanation:

To calculate the density of crystal, we use the equation:

$\rho=\frac{Z\times M}{N_{A}\times a^{3}}$

where,

$\rho$ = density

Z = number of atom in unit cell = 4

M = atomic mass of NaCl = 58.5 g/mol

$N_{A}$ = Avogadro's number = $6.022\times 10^{23}$

a = edge length of unit cell = $0.6nm=0.6\times 10^{-7}cm$    (Conversion factor:  $1cm=10^{9}nm$  )

Putting values in above equation, we get:

$\rho=\frac{4\times 58.5}{6.022\times 10^{23}\times (0.6\times 10^{-7})^3}\\\\\rho=1.80g/cm^3$

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