Question

They metal crystallizes in a face center cubic lattice. The radius
of the atom is 196 PM and the density of the element is 1.55 g/cm3.
How many atoms are there per unit cell?

Answer #1

r = 196pm

= 196*10^-10 cm

a = 22 r

= 2*1.414*196*10^-10

= 5.54*10^-8 cm

d = 1.55g/cm^3

d = ZM/Na^3

In face centered cubic unit cell has 8 atoms at the corner .Each corner atoms share 8 unit cells.1/8 of the atom belongs to cell.

6 atoms are present in facc. Each face atom share two units.

1/2 of the atom belongs to cell.

8*1/8 + 6*1/2 = 4 atoms

FCC contains 4 atoms >>>>answer

Nickel crystallizes in a face-centered cubic lattice. If the
density of the metal is 8.908 g/cm3, what is the unit cell edge
length in pm?

A hypothetical metal crystallizes with the face-centered cubic
unit cell. The radius of the metal atom is 184 picometers and its
molar mass is 195.08 g/mol. Calculate the density of the metal in
g/cm3.

Copper crystallizes with a face-centered cubic lattice and has a
density of 8.93 g/cm3.
a.) Calculate the mass of one unit cell of copper (in grams) b.)
Calculate the volume of the copper unit cell (in cm3). c.)
Calculate the edge length of the unit cell (in cm). d.) Calculate
the radius of a copper atom (in pm).

Rhodium crystallizes in a face-centered cubic unit cell. The
radius of a rhodium atom is 135 pm.
Determine the density of rhodium in g/cm3.
please show all work and units!

A metal crystallizes in a face-centered cubic cell and had a
density of 11.9 g/cm3. If the radius of the metal atom is 138 pm,
what is the molar mass of the metal? What metal is it?

Rhodium crystallizes in a face-centered cubic unit cell. The
radius of a rhodium atom is 135 pm.
Determine the density of rhodium in g/cm3. Which of the below is
the correct answer?
12.4 g/cm3
3.07 g/cm3
278 g/cm3
0.337 g/cm3

Chromium metal crystallizes as a body-centered cubic lattice. If
the atomic radius of Cr is 1.25 angstroms, what is the density of
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1. Unit Cells
i. A certain metal crystallizes in a face-centered cubic unit
cell. If the atomic radius is 150 pm, calculate the edge length
(cm) and volume of the unit cell (cm3)?
ii. If said metal is Gold (Au), calculate the density.

A metal crystallizes in a face-centered cubic closest packed
structure. The radius of the metal atom is 2.14x10^-8 cm. calculate
the density of solid metal if the atomic mass of the metal is known
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Thank you!

Silver crystallizes with a face centeredd cubic unit cell. the
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