will the reaction, `I_(2_((g)))+H_(2)S_((g))rarr2HI_((g))+S_((s))` proceed spontaneously in the forward direction at 298K ? You are given with `DeltaG^(@)` for HI and `H_(2)` as 1.8 and `-33.8 kJ mol^(-1)` respectively .
Given : `I_(2_((g)))+H_(2)S_((g))rarr2HI_((g))+S_((s))`
`DeltaG_(HI)^(@)=1.8kJ mol^(-1)`
`DeltaG_(H_(2)S)^(@)=1.8kJ mol^(-1)`

Explanation

`DeltaG_("reaction")^(@)=sumDeltaG_("products")^(@)-sumDeltaG_("reactants")^(@)`
`=2(1.8)-(-33.8)`
`=3704kJmol^(-1)`
`DeltaG_("reaction")^(@)=+37.4kJ mol^(-1)`
Since `DeltaG^(@)` is positive , the reaction will not proceed spontaneously in the forward direction.