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Byju's Answer
Standard X
Physics
Ideal Gas Equation
Show that the...
Question
Show that the volume thermal expansion coefficient for an ideal gas at constant pressure is
1
T
.
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Solution
We know by ideal gas equation that
P
V
=
n
R
T
Thus, at constant pressure,
V
=
n
R
P
T
Δ
V
=
n
R
P
Δ
T
Dividing the two equations,we get
Δ
V
V
=
Δ
T
T
Hence,
Δ
V
=
V
Δ
T
T
and
γ
=
1
T
.
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