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Byju's Answer
Standard XII
Physics
Thermodynamic Processes
The mixture i...
Question
The mixture is compressed adiabatically to
1
5
its initial volume V. Find the change in its adiabatic compressibility in terms of given quantities?
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Solution
Total number of moles
n
=
3
(solved earlier)
The equation
P
V
19
/
13
⟹
γ
=
19
13
From
P
V
γ
=
c
o
n
s
t
a
n
t
we get
P
V
γ
=
P
′
(
V
5
)
γ
⟹
P
′
=
5
γ
P
Compressibility
K
=
1
B
=
1
γ
P
∴
Δ
K
=
K
′
−
K
=
1
γ
[
1
P
′
−
1
P
]
OR
Δ
K
=
1
γ
P
[
1
5
γ
−
1
1
]
Using ideal gas equation,
P
V
=
3
R
T
⟹
P
=
3
R
T
V
⟹
Δ
K
=
V
3
R
T
γ
[
1
5
γ
−
1
1
]
where
γ
=
19
13
=
1.46
∴
Δ
K
=
V
3
×
8.3
T
×
1.46
[
1
5
1.46
−
1
1
]
=
−
0.0248
V
T
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