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11th
Physics
Kinetic Theory
Law of Equipartition of Energy
Select the incorrect relati...
CHEMISTRY
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Asked on December 20, 2019 by
Vignesh Bindal
Select the incorrect relation. (Where symbols have their usual meanings)
MEDIUM
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ANSWER
Solution:- (C) ΔU=
1−γ
P
f
V
f
−P
i
V
i
As we know that,
ΔU=nC
v
ΔT
Whereas,
n= No. of moles
C
v
= Heat capacity at constant volume =
γ−1
R
ΔT= Change in temperature =T
f
−T
i
∴ΔU=n
γ−1
R
(T
f
−T
i
)
⇒ΔU=
γ−1
nRT
f
−nRT
i
.....(1)
Now from ideal gas equation,
PV=nRT
For the same no. of moles of a gas,
nRT
f
=P
f
V
f
nRT
i
=P
i
V
i
Substituting these values in eq
n
(1), we have
ΔU=
γ−1
P
f
V
f
−P
i
V
i
Hence the given option (C)ΔU=
1−γ
P
f
V
f
−P
i
V
i
is incorrect.