CEM 152
 Spring 2008 – Final Exam
M = mega = 10
6
k = kilo = 10
3
m = milli = 10
3
μ
= micro = 10
6
n = nano = 10
9
p = pico = 10
12
1Å = 10
8
cm
π
= 3.1415926
1 amu = 1.660 x 10
27
kg
N
A
= 6.022 x 10
23
g = 9.8 m/s
2
R
= 8.314 m
3
Pa/molK
R
= 8.314 J/molK
R
= 0.08206 Latm/molK
slope =
Δ
y/
Δ
x
K =
o
C + 273.15
o
C = (5/9)(
o
F – 32)
o
F = (9/5)(
o
C) + 32
1 Pa = 1 kg/ms
2
= 1 Nm
2
1 atm = 1.01325 x 10
5
Pa
1 atm = 760 torr = 760 mm Hg
1 bar = 10
3
mbar = 10
5
Pa
F=Wd
F=mg
P = F/A P = h
ρ
gP
=
n
R
T/V
d = M/V d=PM/RT
P
1
= (n
1
/n
T
)P
T
= X
1
P
T
average K.E. = 1/2 m
μ
2
M
T
3
R
=
μ
1
2
2
1
M
M
r
r
=
()
T
n
nb

V
V
a
n
P
2
2
R
=
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
+
C
T
H

P
ln
vap
+
Δ
=
R
T
m
q
s
Δ
×
=
P
A
=X
A
P
o
A
Δ
T
b
=
K
b
m
Δ
T
f
=
K
f
m
π
= (n/V)
R
T = M
R
T
0
t
ln[A]
t
[A]
ln
+
−
=
k
0
t
[A]
1
t
[A]
1
+
=
k
k
693
.
0
t
1/2
=
0
1/2
[A]
1
t
k
=
T
/
E

a
Ae
R
k
=
⎟
⎠
⎞
⎜
⎝
⎛
−
=
⎟
⎠
⎞
⎜
⎝
⎛
1
2
a
2
1
T
1
T
1
E
ln
R
k
k
S
g
= kP
g
reactants
products
H
H
H
−
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f
k
k
K
=
=
b
a
q
p
c
[B]
[A]
[Q]
[P]
b
B
a
A
q
Q
p
P
p
)
(P
)
(P
)
(P
)
(P
=
K
a
ac
b
b
x
2
4
2
−
±
−
=
K
w
= [H
+
][OH

]=1.0 x 10
14
pH =  log [H
+
]
pOH = log[OH

]
pH = 14.0 – pOH
p
K
a
= log
K
a
K
w
=
K
a
×
K
b
CEM 152
 Spring 2008 – Final Exam
n
c
p
RT
K
K
Δ
=
)
(
∑
∑
Δ
Δ
=
Δ
reactants)
(
H

products)
(
H
H
o
f
o
f
o
rxn
m
n
∑
∑
=
Δ
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 Spring '08
 MANTICA

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