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

• A

  $\mathrm{q}=0, \mathrm{\Delta T}=0\text{ and }\mathrm{w}>0$

• B

  $\mathrm{q}<0, \mathrm{\Delta T}=0\text{ and }\mathrm{w}=0$

• C

  $\mathrm{q}>0, \mathrm{\Delta T}>0\text{ and }\mathrm{w}>0$

• D

  $\mathrm{q}=0, \mathrm{\Delta T}=0\text{ and }\mathrm{w}=0$