Copper is a solid phase of copper still unknown to science. The only difference between it and ordinary copper is that Copper forms a crystal with a bcc unit cell and a lattice constant . Calculate the density of Copper . Round your answer to significant digits.

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Complete Question

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Answer:

The density is  [tex]\rho = 8.21479 g/cm^3[/tex]

Explanation:

From the question we are told that

         the lattice constant is  [tex]a = 0.295 nm = 0.295*10^{-9} = 0.295*10^{-7} cm[/tex]

The density of Copper ([tex]\beta[/tex]) is mathematically represented as

     [tex]\rho = \frac{ZM}{a^3N_A}[/tex]

Where  Z is the number of units in a unit cell and  for BCC crystals  Z =2

          M is the molar mass of copper which same for Copper with a value of  

           [tex]M = 63.5 g/mol[/tex]

          [tex]N_A[/tex] is the Avogadro's constant with a value of  [tex]N_A = 6.022*10^{23}[/tex]

Substituting values

       [tex]\rho = \frac{2 *63.5}{(0.295*10^{-7})^3 * (6.022*10^{23})}[/tex]

      [tex]\rho = 8.21479 g/cm^3[/tex]

       

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