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A metal crystallizes in BCC lattice. Its unit cell edge length is about 300 pm and its molar mass is about 50. What would be the density of metal in gm cm-3 ?

  • Option 1)

    3.1

  • Option 2)

    6.2

  • Option 3)

    9.3

  • Option 4)

    12.4

 

Answers (1)

best_answer

d=\frac{ZM}{a^{3}N_{A}}

=\frac{2\times 50}{\left ( 3\times 10^{-8} \right )^{3}\times 6.02\times 10^{23}}=6.2gm/cm

 

Density of cubic unit cell -

d = \frac{zM}{a^3N_o}

 

- wherein

Where,

d = density of crystal

z = no. of effective constituent particles in one unit cell

M = molecular weight

a = edge length of unit cell

No = 6.022*1023

 


Option 1)

3.1

This is incorrect

Option 2)

6.2

This is correct

Option 3)

9.3

This is incorrect

Option 4)

12.4

This is incorrect

Posted by

prateek

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