Question

Copper has an atomic radius of 0.128 nm, an FCC crystal structure, and an atomic weight of 63.5 g/mol. Compute its theoretical density and compares the answer with its measured density.

Answer 1

Copper has an atomic radius of 0.128 nm, an FCC crystal structure, and an atomic weight of 63.5 g/mol. Compute its theoretical density and compares the answer with its measured density.

Solution :

Atomic radius of copper = 0.128 nm

Atomic weight of copper = 63.5 g/mol

¶ = ZM / a3NA

Z = 4 ( for fCC)

M = 63.5 g ( for Cu)

a = 2√2r

{ Putting the value of r }

= 2√2 × 0.128 nm

= 2√2×0.128×10-⁹ m

N.A= 6.022×10²³

______________________

Now we are giving the value in the equation :-

=> 4×63.5 / ( 2√2×0.128×10-⁹)³ × 6.022 × 10²³

=> 8.89 g / cm³