If `S^(@)` for `N_(2)`, `O_(2)`, `N_(2)O`, `NO_(2)`, `NO` and `N_(2)O_(4)` are `45.7`, `49.0`, `48.2`, `57.24` and `72.77` cal respectively and `{:(N_(2)+(1)/(2)O_(2)hArrN_(2)O , DeltaH^(@)=19.49 kcal at 27^(@)C), ((1)/(2)N_(2)+(1)/(2)O_(2)hArrNO , DeltaH^(@)=21.60 kcal at 27^(@)C), ((1)/(2)N_(2)+O_(2)hArrNO_(2) , DeltaH^(@)=8.09 kcal at 27^(@)C), (N_(2)+2O_(2)hArrN_(2)O_(4), DeltaH^(@)=2.19 kcal at 27^(@)C):}`
For which `DeltaG^(@)` is more `+ve` ?

Options

A. `NO`
B. `N_(2)O`
C. `NO_(2)`
D. `N_(2)O_(4)`

Explanation

` :' DeltaG^(@)=DeltaH^(@)-TDeltaS^(@)`
` :. DeltaG_(fN_(2)O)^(@)=19.49-[48.2-45.7-(49.0)/(2)]xx10^(-3)xx300=26.09kcal`
`DeltaG_(fNO)^(@)=21.60-[50.24-(45.7)/(2)-(49.0)/(2)]xx10^(-3)xx300=20.73 kcal`
`Delta_(fNO_(2))^(@)=8.09-[57.24-(45.7)/(2)-49.0]xx10^(-3)xx300`
`=12.47kcal`
`DeltaG_(fN_(2)O_(4))^(@)=2.19-[72.77-45.7-98.0]xx10^(-3)xx300`
`=23.47 kcal`