At room temperature, sodium crystallizes in a body centered cubic lattice with $a = 4.24\mathop {\rm{A}}\limits^ \circ $. the theoretical density of sodium ${\rm{(At}}{\rm{. wt}}{\rm{. Of\; Na}} = 23)$ is :

$1.002\;{\rm{g}}\;{\rm{ c}}{{\rm{m}}^{ - 3}}$

$2.002\;{\rm{g}}\;{\rm{ c}}{{\rm{m}}^{ - 3}}$

$3.002\;{\rm{g }}\;{\rm{c}}{{\rm{m}}^{ - 3}}$

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NEET UG CHEMISTRY MCQ: SOLID STATE

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At room temperature, sodium crystallizes in a body centered cubic lattice with

a = 4.24\mathop \mathrm{A}\limits^ \circ

. the theoretical density of sodium

\mathrm{(At}\mathrm{. wt}\mathrm{. Of\; Na} = 23)

is :

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Correct option: A

1.002\;\mathrm{g}\;\mathrm{ c}{\mathrm{m}^{ - 3}}

Option A is correct because the theoretical density is calculated using the formula ρ = (Z * M) / (a³ * NA), where Z is the number of atoms per unit cell (2 for bcc), M is the atomic weight, a is the lattice parameter, and NA is Avogadro's number. The result is approximately 1.002 g/cm³.

NEET UG CHEMISTRY MCQ: SOLID STATE

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