Which of the following is the correct option for the free expansion of an ideal gas under adiabatic condition?

Options

A. `q=0,DeltaTlt0,wne (=)0`
B. `q=0,DeltaTne 0,w=0`
C. `qne 0,DeltaT=0,w=0`
D. `q=0,DeltaT=0,w=0`

Answer

D

Explanation

For addiabatic expansion, `q=0`
For free expansion, `P_(ext)=0` , Hence, `w=0`
`DeltaU=q+w=0+0=0` . As `U` is a function of temperature
`(U+-(3)/(2)nRT)` and as `DeltaU=0`
`:. DeltaT=0` .