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JEE Advanced 2020 Full Test 7 Paper 1
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© examsnet.com
Question : 7
Total: 54
Figure shows three isotherms at temperatures
300
K
,
500
K
,
and
700
K
,
respectively, on PV diagram with broken lines. Three independent thermodynamic process
(
A
B
,
A
C
and
A
D
)
are performed on 1 mole of monatomic ideal gas as shown in the figure. Then, choose the correct choice(s).
In the process
A
C
, first the temperature of the thermodynamic system increases and then decreases.
In the process AC, the temperature of the thermodynamic system is always constant.
In the process AD, average kinetic energy of molecules per unit volume decreases.
None of these
Validate
Solution:
For process AC;
P
=
a
−
b
v
[
a
,
b
=
c
o
n
s
t
a
n
t
]
∴
(
a
−
b
v
)
(
v
)
=
R
T
∴
T
=
1
R
(
a
v
−
b
v
2
)
∴
d
T
d
v
=
a
R
−
2
b
v
R
0
=
a
R
−
2
b
v
R
⇒
v
=
a
2
b
Also,
(
d
2
T
d
v
2
)
a
2
b
<
0
∴
For
A
C
,
T
first increases and then decreases.
For
A
D
,
T
↓
,
∴
K
⋅
E
↓
© examsnet.com
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