Final answer:
The correct balanced chemical equation for the reaction between Ba and Na2SO4 is Ba + Na2SO4 → BaSO4 + 2Na, where barium sulfate and sodium metal are produced. This balanced equation was not provided in the options.
Step-by-step explanation:
To balance the chemical equation given as Ba + Na2SO4, we should first recognize that this equation is missing a product. Since Ba is a metal that can displace Na from Na2SO4 to form BaSO4, which is a barium sulfate compound, and sodium metal (Na), the full unbalanced chemical equation would be Ba + Na2SO4 → BaSO4 + Na.
The balanced chemical equation is: Ba + Na2SO4 → BaSO4 + 2Na. Looking at the available options a) 2Ba + Na2SO4, b) Ba + 2Na2SO4, c) 2Ba + 2Na2SO4, and d) Ba + Na2SO4, none of them represent the correct balanced equation as they do not take into account the formation of Na. Hence, all options a, b, c, and d are incorrect.
For the correct balancing, the correct answer would be outside the provided options and is actually Ba + Na2SO4 → BaSO4 + 2Na, involving the barium ions replacing the sodium ions in sodium sulfate to form barium sulfate and sodium metal.