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  • Tell me? - At, copper (Cu) has FCC unit cell structure with cell edge length of. . What is the approximate d - States of matter - JEE Main

At 100^{\circ}C , copper (Cu) has FCC unit cell structure with cell edge length of x\AA. . What is the approximate density of

Cu(in\; gcm^{-3})  at this temperature ?

[ Atomic Mass of Cu = 63.55 u]

  • Option 1)

    \frac{105}{x^{3}}

  • Option 2)

    \frac{211}{x^{3}}

  • Option 3)

    \frac{205}{x^{3}}

     

  • Option 4)

    \frac{422}{x^{3}}

Answers (1)

best_answer

 

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

The FCC unit cell has Z=4

d=\frac{63.5\times 4}{6\times 10^{23}\times x^{3}\times 10^{-24}}g/cm^{3}

d=\frac{63.5\times 4\times 10}{6\times x^{3}}g/cm^{3}

d=\frac{423.33}{ x^{3}}g/cm^{3}

 


Option 1)

\frac{105}{x^{3}}

Option 2)

\frac{211}{x^{3}}

Option 3)

\frac{205}{x^{3}}

 

Option 4)

\frac{422}{x^{3}}
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