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

Options

A. `q=0,DeltaT lt0,w cancel(=) 0`
B. `q=0, DeltaTcancel(=) 0,w=0`
C. `qcancel(=) 0,DeltaT , w=0`
D. `q=0,DeltaT=0,w=0`

Answer

D

Explanation

For adiabatic 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`