Question

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.

Answer 1

Complete Question

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Answer:

The density is  $\rho = 8.21479 g/cm^3$

Explanation:

From the question we are told that

         the lattice constant is  $a = 0.295 nm = 0.295*10^{-9} = 0.295*10^{-7} cm$

The density of Copper ($\beta$) is mathematically represented as

     $\rho = \frac{ZM}{a^3N_A}$

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  

           $M = 63.5 g/mol$

          $N_A$ is the Avogadro's constant with a value of  $N_A = 6.022*10^{23}$

Substituting values

       $\rho = \frac{2 *63.5}{(0.295*10^{-7})^3 * (6.022*10^{23})}$

      $\rho = 8.21479 g/cm^3$