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Relation Between r and a

For bcc latti...

Question

For bcc lattice, the edge length of the unit cell is 500 pm. The molar volume of the lattice is ?

A

$75.25 c m^{3}$

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B

$37.6 c m^{3}$

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C

$18.8 c m^{3}$

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D

$N o n e o f t h e s e$

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Solution

The correct option is B
$37.6 c m^{3}$

Molar volume
$= \frac{a^{3} N_{A}}{Z_{e f f}} = \frac{(500 \times 10^{- 10} c m)^{3} \times 6.02 \times 10^{23}}{2}$

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