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This reaction involves simply breaking the Cl-Cl bond into plain unbonded Cl. Whenever you break a bond, heat must be added. Since only the Cl-Cl bonds are broken and no bonds are formed, we know the reaction is endothermic, taking in heat. This means that deltaH is positive and deltaS is positive too since it is equal to qp/T. Since deltaG=deltaH-TdeltaS we can see that delta G will be negative(meaning the reaction is spontaneous) when T is a high value.
Since the bond between the Cl2(g) molecule is broken to form 2Cl(g), the process is endothermic and therefore delta H is positive. The way I figured out whether delta S is positive or negative is by thinking about how the reactant Cl2 (g) is merely one gas molecule in a flask, whereas the product 2Cl (g) is two molecules and therefore delta S is positive. From the equation: delta G = delta H-T delta S, in order to have a negative delta G with a positive delta H and a positive delta S, temperature has to be a high value.
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