Given, `DeltaH=-12.55kJ" "mol^(-1)`
`DeltaS=5.0J" "K^(-1)" "mol^(-1)`
`=0.005kJ" "K^(-1)" "mol^(-1)`
`T=17+273=290K`
Applying `DeltaG=DeltaH-TDeltaS`
`=12.55-0.005xx290`
`=-12.55-1.45=-14.00kJ" "mol^(-1)`
Since, `DeltaG` is negative, the reaction will be spontaneous.