Solveeit Logo
Login

Question

Chemistry Question on The solid state

A unit cell of sodium chloride has four formula units. The edge length of the unit cell is 0.0564 nm0.0564\, nm. What is the density of sodium chloride?

A

1.2 g/cm31.2\, g / cm ^{3}

B

2.165 g/cm32.165\, g / cm ^{3}

C

3.64 g/cm33.64 \,g / cm ^{3}

D

4.56 g/cm34.56\, g / cm ^{3}

Answer

2.165 g/cm32.165\, g / cm ^{3}

Explanation

Solution

Density=nMNA×a3= \frac{nM}{N_{A}\times a^{3}} =4×58.56.023×1023×(5.64×10−8)3=2.17=\frac{4\times58.5}{6.023\times10^{23}\times\left(5.64\times10^{-8}\right)^{3}}=2.17 g/cm.