Match the thermodynamic processes given under Column I with the expressions given under Column II
`{:(,"Column I",,"Column II"),((A),"Freezing of water at 273 K and 1 atm",(p),q=0),((B),"Expansion of 1 mole 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),DeltaS_("sys")lt0),((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),DeltaU=0),(,,(t),DeltaG=0):}`

Answer

A `rarr` r, t; B `rarr` p, q, s; C `rarr` p, q, s ; D `rarr` p, q, s, t

Explanation

`H_(2)O(l)rarrH_(2)O(s)" at 273 K. & 1 atm"`
`DeltaH=-ve=q`
`DeltaS_(sys)lt0, DeltaG=0`
`wne0` (as water expands on freezing), `DeltaUne0`
(B) Free expansion of ideal gas q=0
w=0
`DeltaU=0`
`DeltaS_(sys)gt0`
`DeltaGlt0`
(C ) Mixing of equal volume of ideal gases at constant pressure & temp in an isolated container
`q=0, w=0, DeltaU=0, DeltaS_(sys)gt0, DeltaGlt0`
(D) `H_(2)(g)300 K underset("Heating, 1 atm")overset("Reversible")rarr600 K underset("Cooling, 1 atm")overset("Reversible")rarr300 K`
`q=0, w=0, DeltaU=0, DeltaG=0, DeltaS_(sys)=0`