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Show that the volume thermal expansion c...

Show that the volume thermal expansion coefficient for an ideal gas at constant pressure is `(1)/(T)`.

A

`T`

B

`T^(2)`

C

`(1)/(T)`

D

`(1)/(T^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
`PV = nRT :. Pdv = nRdT :. Dv = ((v)/(T)) dT` ….(i)
`dv = gammavdT` …..(ii)
form (i) & (ii) `gamma = (1)/(T)`
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