Midterm 1
Wed April 21
st
.
Chapters 19, 20, 21, and 22.1-22.7.
3” x 5” index card
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Problem Set #3
Due Wed April 28th.

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Chapter 19 Summary
First Law of Thermodynamics:
∆
U = q + w
or
dU =
δ
q +
δ
w
dT
T
C
q
U
T
T
V
)
(
2
1
∫
=
=
∆
∫
−
=
=
−
2
1
V
V
V
dV
nRT
w
q
∆
V = 0, w=0
∆
T = 0,
∆
U=0
q=0
∫
−
=
=
∆
2
1
T
T
dT
nR
w
U
Enthalpy (H) vs. Internal Energy (U):
∫
=
−
=
+
=
∆
2
1
V
V
V
q
PdV
q
w
q
U
Const=V:
PV
U
H
+
=
P
P
q
H
=
∆
Const=P:
(PV work)
P
P
q
VdP
PdV
PdV
q
dH
δ
δ
=
+
+
−
=
(
)
RT
n
U
nRT
U
PV
U
H
gas
∆
+
∆
≅
∆
+
∆
=
∆
+
∆
=
∆
)
(
Heat Capacity (C
P
vs. C
V
measured by calorimetry):
)
(
T
C
T
q
T
U
V
V
V
=
=
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
∂
∂
Const=V:
(
∆
U = q
V
)
)
(
T
C
T
q
T
H
P
P
P
=
=
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
∂
∂
Const=P:
(
∆
H = q
P
)
Temperature Dependence of U and H:
dT
T
C
T
U
T
U
dV
V
U
dT
T
U
dU
T
T
V
T
V
∫
=
−
⎟
⎠
⎞
⎜
⎝
⎛
+
⎟
⎠
⎞
⎜
⎝
⎛
=
2
1
1
2
)
(
)
(
)
(
δ
δ
δ
δ
dT
T
C
T
H
T
H
dP
P
H
dT
T
H
dH
T
T
P
T
P
∫
=
−
⎟
⎠
⎞
⎜
⎝
⎛
+
⎟
⎠
⎞
⎜
⎝
⎛
=
2
1
1
2
)
(
)
(
)
(
δ
δ
δ
δ