Cliffs AP Chemistry, 3rd Edition

(singke) #1

CO 2 — nonpolar, dispersion forces only
CH 3 Cl — polar molecule
CH 3 OH — polar molecule, hydrogen bonds
NaCl — ionic compound


12. An imaginary metal crystallizes in a cubic lattice. The unit cell edge length is 100.
picometers (1 picometer = 1 × 10 –12meter). The density of this metal is 200. g/cm^3. The
atomic mass of the metal is 60.2 g/mol. How many of these metal atoms are there
within a unit cell?

A. 1.00
B. 2.00
C. 4.00
D. 6.00
E. 12.0

Answer: B


First, calculate the mass of one cell,100. pm on an edge:


..
./
g
1


200
1


100
10

1
1

100
200 10
cm m

cm
pm

m pm
3 g cell

3
12

(^33)
####= -^22
d n f p d n
Next, calculate the mass of one metal atom:
.
.
1 ../
60 2
602 10
1
mole 10 0 10 1 00 10
g
atoms
mole


23 23 22 g atom



==##--
Finally, calculate the number of metal atoms in one cell:
.
.
.
100 10
200 10
200
g atom
g cell
22 1 atoms/cell
22 1
#:
#:
--=


Liquids and Solids

Free download pdf