For a phase change$H _2 O ( l ) \underset{1 bar , 0^{\circ} C }{\rightleftharpoons} H _2 O ( s )$

Which of the following is not true?

When $2 \ mol$ of an ideal gas undergoes spontaneous expansion in a vacuum,the work done is ...... Joules.

For which of the following reactions,$\Delta H$ is equal to $\Delta U$ ?

Identify the correct statements from the following.
$(I)$ For adiabatic process,$\Delta U = W_{\text{adiabatic}}$
$(II)$ Work is a path function.
$(III)$ Volume is an extensive property.

Which one of the following is an extensive property?