If Ag_(2)O (s) is ecposed to atmosphere having pressure 1 atm and temperature 1 atm and temperature 27^(@)C. Under these conditions comment whether it will dissociate spontaneously or not. 2Ag_(2)O (s) hArr 3Ag(s)+O_(2)(g) {:("Given :",,DeltaH_(f)^(@)" (kJ/mol)",DeltaS^(@)" (J/K mol) at "27^(@)C),(,Ag(s),0,42.0),(,Ag_(2)O(s),-30,121.0),(,O_(2)(g),0,204.0):} (Air consist of 20% O_(2) by volume) Take : R=8.3 JK^(-1) mol^(-1)

If Ag_(2)O (s) is ecposed to atmosphere having pressure 1 atm and temp

1.	If Ag_(2)O (s) is ecposed to atmosphere having pressure 1 atm and temperature 1 atm and temperature 27^(@)C. Under these conditions comment whether it will dissociate spontaneously or not. 2Ag_(2)O (s) hArr 3Ag(s)+O_(2)(g) {:("Given :",,DeltaH_(f)^(@)" (kJ/mol)",DeltaS^(@)" (J/K mol) at "27^(@)C),(,Ag(s),0,42.0),(,Ag_(2)O(s),-30,121.0),(,O_(2)(g),0,204.0):} (Air consist of 20% O_(2) by volume) Take : R=8.3 JK^(-1) mol^(-1)
Answer» SOLUTION :`DeltaG^(@)=DELTAH^(@)-T DeltaS^(@)` `DeltaH^(@)=DeltaH_(f)^(@)("product")-DeltaH_(f)^(@) ("reactants")` `=2xx30=60 kJ` `DeltaS^(@)=204+4(42)-2(121)=+130` `DeltaG^(@)=DeltaH^(@)-T DeltaS^(@)=60000-300xx130` `DeltaG^(@)=21000 J=-RT ln K` `log K=-(21000/(300xx8.3xx2.3))` `K_(p)=2.15xx10^(-4)` atm The dissociation of `Ag_(2)O` is nonspontaneous at `27^(@)C`