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Question
Chemistry
Given that dE=TdS-PdV and H=E+PV . Which one of the following relations is true?
Q. Given that
d
E
=
T
d
S
−
P
d
V
and
H
=
E
+
P
V
. Which one of the following relations is true?
2254
245
KEAM
KEAM 2009
Thermodynamics
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A
d
H
=
T
d
S
+
V
d
P
32%
B
d
H
=
S
d
T
+
V
d
P
15%
C
d
H
=
−
S
d
T
+
V
d
P
18%
D
d
H
=
d
E
+
P
d
V
35%
E
d
H
=
d
E
−
T
d
S
35%
Solution:
Given,
d
E
=
T
d
S
−
p
d
V
...(i)
H
=
E
+
p
V
...(ii) Differentiating Eq. (ii),
d
H
=
d
E
+
p
d
V
+
v
d
p
...(iii)
From Eq. (i) and (iii),
we get
d
H
=
T
d
S
+
v
d
p