`DeltaH` and `DeltaS` for the reaction `Br_(2)(l)+Cl_(2)(g)to2BrCl(g)` are 29.37 kJ and `104.7J" "K^(-1)` respectively. Above what temperature will this reaction become spontaneous?

Explanation

According to Gibbs-Helmiholtz equation,
`DeltaG=DeltaH-TDeltaS`
for spontaneous process,` DeltaG lt 0`
i.e., `DeltaH-TDeltaS lt 0` ltbr `T DeltaS gt DeltaH`
`T gt (DeltaH)/(DeltaS)`
`T gt (29.37xx1000)/(104)" "T gt 282.4K`