Question

Gold crystallizes in a face-centered cubic lattice. If the length of the edge of the unit cell is 407 pm. The density of gold assuming it to be spherical is ______ g/cm³. Atomic mass of gold = 197 amu.

विकल्प

• 17.65

• 18.23

• 19.48

• 20.79

Answer 1

Gold crystallizes in a face-centered cubic lattice. If the length of the edge of the unit cell is 407 pm. The density of gold assuming it to be spherical is 19.48 g/cm³. Atomic mass of gold = 197 amu.

Explanation:

a = 407 pm,

N = 4

= 4.07 × 10^–10 cm

mol. weight = 197

ρ = `("N" xx "mol. weight")/("a"^3 xx "Na")`

= 19.48 g/cm³