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Tardigrade
Question
Chemistry
The molar internal energy of a gas at temperature T is Um [T]. The molar internal energy at T = 0 is Um (0). The correct expression that relates these two with appropriate contributions is
Q. The molar internal energy of a gas at temperature T is
U
m
[T]. The molar internal energy at T = 0 is
U
m
(0). The correct expression that relates these two with appropriate contributions is
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A
U
m
(
T
)
=
U
m
(
0
)
+
3
RT
[Linear molecule, translation only]
B
U
m
(
T
)
=
U
m
(
0
)
+
2
5
RT
[Linear molecule translation and rotation only]
C
U
m
(
T
)
=
U
m
(
0
)
+
2
3
RT
[Non-linear molecule, translation and rotation only]
D
U
m
(
T
)
=
U
m
(
0
)
+
RT
[Non-linear molecule, translation only]
Solution:
Δ
U
m
=
C
V
Δ
T
Δ
m
(
T
)
−
U
m
(
0
)
=
C
V
(
T
−
0
)
U
m
(
T
)
−
U
m
(
0
)
=
2
5
RT
[
C
v
=
2
5
R
,
for linear molecule, by taking translational and rotational]
U
m
(
T
)
=
U
m
(
0
)
+
2
5
RT