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Question: If the unit cell length of sodium chloride crystal is 600 pm, then its density will be...

If the unit cell length of sodium chloride crystal is 600 pm, then its density will be

A

2.165 gm /cm3

B

3.247 gm /cm3

C

1.79 gm/cm3

D

1.082 gm/cm3

Answer

1.79 gm/cm3

Explanation

Solution

ρ=n×MmNAa3\rho = \frac{n \times M_{m}}{N_{A}a^{3}}

=4×58.56.023×1023×(6×10−8)3=1.79g/cc\mathbf{=}\frac{\mathbf{4}\mathbf{\times}\mathbf{58.5}}{\mathbf{6.023}\mathbf{\times}\mathbf{1}\mathbf{0}^{\mathbf{23}}\mathbf{\times}\mathbf{(6}\mathbf{\times}\mathbf{1}\mathbf{0}^{\mathbf{-}\mathbf{8}}\mathbf{)}^{\mathbf{3}}}\mathbf{= 1.79g/cc}