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`

Step-by-step 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 = (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 = (2 *63.5)/((0.295*10^(-7))^3 * (6.022*10^(23)))`

`\rho = 8.21479 g/cm^3`