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The correct option for free expansion of...

The correct option for free expansion of an ideal gas under adiabatic condition is

A

q = 0, `DeltaT=0` and w = 0

B

q = 0, `DeltaT lt 0 and w gt 0`

C

`q lt 0, DeltaT=0 and w = 0`

D

`q gt 0, DeltaT gt 0 and w gt 0`

Text Solution

Verified by Experts

The correct Answer is:
A
For free expansion of an ideal gas, `P_(ex)=0`
`w=-P_(ex)DeltaV=0`
For adiabatic process, q = 0
According to first law of thermodynamics,
`DeltaU=q+w=0`
As internal energy of an ideal gas is a function of temperature, `DeltaU=0, therefore DeltaT=0`
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