Question

The lattice parameter of copper is 0.362 nanometer. The atomic weight of copper is 63.54 g/mole. Copper forms a fcc structure. Answer the following questions.
a. Volume the unit cell in cubic centimeters in cubic centimeters is:______
b. Density of copper in g/cm^3 is:________

Answer 1

Answer:

a) 4.74 * 10^-23 cm^3

b)  8.9 g/cm^3

Explanation:

Given data :

Lattice parameter of copper = 0.362 nM

Atomic weight of copper = 63.54 g/mole

Given that copper forms a fcc structure

a) Calculate the volume of the unit cell

V = a^3

  = ( 0.362 * 10^-7  cm )^3 = 4.74 * 10^-23 cm^3

b) Calculate density of copper in g/cm^3

Density = ( n*A ) / ( Vc * NA) ----------- ( 1 )

where: NA = Avogadro's number = 6.022 * 10^23  atoms/mol

n = number of atoms per unit cell = 4

A = atomic weight = 63.54 g/mol

Vc = volume of unit cell =  4.74 * 10^-23 cm^3

Input values into equation 1

Density = 8.9 g/cm^3