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Byju's Answer
Standard X
Physics
Specific Heat Capacity
Which of the ...
Question
Which of the following is true in the case of an adiabatic process where
γ
=
C
p
/
C
v
?
A
P
1
−
γ
T
γ
=
c
o
n
s
t
a
n
t
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B
P
γ
T
1
−
γ
=
c
o
n
s
t
a
n
t
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C
P
T
γ
=
c
o
n
s
t
a
n
t
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D
P
γ
T
=
c
o
n
s
t
a
n
t
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Solution
The correct option is
A
P
1
−
γ
T
γ
=
c
o
n
s
t
a
n
t
In an adiabatic process heat supplied is zero. Hence internal energy change equals work done.
Hence,
W
=
Δ
U
−
P
d
V
=
n
R
γ
−
1
d
T
=
P
d
V
+
V
d
P
γ
−
1
−
γ
P
d
V
=
V
d
P
−
γ
d
V
V
=
d
P
P
l
n
(
P
)
+
γ
l
n
(
V
)
=
C
P
V
γ
=
c
o
n
s
t
a
n
t
Putting
V
=
n
R
T
P
P
1
−
γ
T
γ
=
c
o
n
s
t
a
n
t
Answer is option A.
Suggest Corrections
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Similar questions
Q.
Which of the following is true in the case of an adiabatic process, where
γ
=
C
p
/
C
V
?
Q.
During an adiabatic process, if the pressure of the ideal gas is proportional to the cube of its temperature, the ratio
γ
=
C
p
C
v
is
(
C
p
=
Specific heat at constant pressure ;
C
v
=
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Q.
The molar specific heat of an ideal gas at constant pressure and constant volume is '
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' and
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C
p
to
C
v
is
′
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then
C
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Q.
The molar specific heat capacity of an ideal gas, at constant pressure and at constant volume, are denoted by
C
p
and
C
v
, respectively. If
γ
=
C
p
C
v
and R
is the universal gas constant, then
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v
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