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JEE Main 27 July 2021 Shift 2 Solved Paper
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© examsnet.com
Question : 4
Total: 90
One mole of an ideal gas is taken through an adiabatic process where the temperature rises from
27
°
C
to
37
°
C
. If the ideal gas is composed of polyatomic molecule that has 4 vibrational modes, which of the following is true?
[
R
=
8.314
J
m
o
l
−
1
k
−
1
]
[27 Jul 2021 Shift 2]
work done by the gas is close to 332 J
work done on the gas is close to 582 J
work done by the gas is close to 582 J
work done on the gas is close to 332 J
Validate
Solution:
Since, each vibrational mode, corresponds to two degrees of freedom, hence, f = 3 (trans.) + 3(rot.) + 8 (vib.) = 14
&
γ
=
1
+
2
f
γ
=
1
+
2
14
=
8
7
W
=
n
R
Δ
T
γ
−
1
=
−
582
As
W
<
0
. work is done on the gas.
© examsnet.com
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