| Column $I$ | Column $II$ |
| $(A)$ Freezing of water at $273 K$ and $1 \ atm$ | $(P)$ $q =0$ |
| $(B)$ Expansion of $1 \ mol$ of an ideal gas into a vacuum under isolated conditions | $(Q)$ $w=0$ |
| $(C)$ Mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container | $(R)$ $\Delta S _{\text {sy5 }} < 0$ |
| $(D)$ Reversible heating of $H _2( g )$ at $1 \ atm$ from $300 \ K$ to $600 \ K$, followed by reversible cooling to $300 \ K$ at $1 \ atm$ | $(S)$ $\Delta U =0$ |
| $(T)$ $\Delta G =0$ |
- ✓$( A ) \rightarrow( R , T ) ;( B ) \rightarrow( P , Q , S ) ;( C ) \rightarrow( P , Q , S ) ;( D ) \rightarrow( P , Q , S , T )$
- B$( A ) \rightarrow( R , S ) ;( B ) \rightarrow( P , Q , R ) ;( C ) \rightarrow( P , Q , R ) ;( D ) \rightarrow( P , Q , R , T )$
- C$( A ) \rightarrow( P , T ) ;( B ) \rightarrow( P , R , T ) ;( C ) \rightarrow( P , R , T ) ;( D ) \rightarrow( P , R , S , T )$
- D$( A ) \rightarrow( S , T ) ;( B ) \rightarrow( R , S , T ) ;( C ) \rightarrow( Q , R , S ) ;( D ) \rightarrow( Q , R , S , T )$
