Final answer:
The product of the synthesis reaction between nitrogen gas (N₂) and barium (Ba) is barium nitride, with the chemical formula Ba₃N₂.
Step-by-step explanation:
The synthesis reaction between nitrogen gas (N₂) and barium (Ba) is an inorganic chemical reaction that leads to the formation of a chemical compound.
The correct product for the given reaction is Ba₃N₂, which is barium nitride. This product typically occurs when barium, which has a charge of +2 as it loses two electrons to become a cation (Ba²+), reacts with nitrogen gas, which tends to form a -3 anion (N₃-) by gaining three electrons. The correct chemical formula reflects the ionic charges balancing each other, resulting in barium nitride (Ba₃N₂).