Since decomposition is an endergonic reaction. Does this mean it's reverse reaction synthesis is exothermic?

The logic does not follow.The statement can be true but it may not be true, also. It depends upon the reaction. Endergonic refers to the Gibbs free energy while exothermic refers ONLY to the change in enthalpy, delta H. So you are comparing apples and oranges.

I meant endothermic not endergonic sorry.

Yes, if the reaction is endothermic in one direction, it is exothermic in the reverse direction. Thanks for clarifying the question.

I hope the question refers to a particular decomposition. Some decompositions are very exothermic and/or exergonic. The explosive decomposition of nitroglycerin and TNT are examples of that. The same applies to synthesis reactions. Not all of them are exothermic.

To understand whether the reverse reaction of decomposition (synthesis) is exothermic or endothermic, we need to consider the overall energy change of the reaction.

In general, decomposition reactions involve breaking down a compound into simpler substances, while synthesis reactions involve combining simpler substances to form a compound. The energy change of a reaction can be determined by calculating the difference between the energy required to break the bonds in the reactants and the energy released when new bonds are formed in the products.

Since decomposition is an endergonic reaction, it means that more energy is required to break the bonds in the reactants than what is released when new bonds are formed. As a result, the overall energy change of the reaction is positive, meaning it absorbs energy from the surroundings (endothermic).

Conversely, the reverse reaction of decomposition (synthesis) involves the formation of bonds in the products, which releases energy. Therefore, the synthesis reaction is exothermic, as it releases energy into the surroundings.

It's important to note that while the overall energy change of a reaction determines whether it is exothermic or endothermic, the specific magnitudes of energy changes can vary depending on the compounds involved and the conditions under which the reaction occurs.