The anions sulfite, carbonate and sulfide produce what gassesrespectively?

It depends on the reaction. Decomposition of compounds is one thing, but for instance, hydrogen reacting with iron sulfide produces hydrogen sulfide.

That is what I though, but that is all the question asks...

I am assuming they just mean decomposition. ???

carbonates often yield carbon dioxide.

sulfites often yield sulfur dioxide (I smell this when I sanitize my wine ferments with sodium bisulphite)
sulfides don't exactly decompose, but the compounds do, and it depends on the envirnment in which they decompose. Hydrogen sulfide is a common gas occuring in petroleum cracking, from the decompositions of sulfides in the oil, reacting with hydrogen.

I doubt that the question is asking about decomposition. I'm almost certain that it means what gas is emitted when the anion listed is treated with an acid.

Sulfites produce SO2, carbonates produce CO2, and sulfides produce H2S as Bob Pursley has pointed out.

To determine the gases produced by the anions sulfite, carbonate, and sulfide respectively, we need to understand their chemical formulas and reactions. Let's break them down one by one:

1. Sulfite (SO3^2-):
The sulfite anion consists of one sulfur atom (S) bonded to three oxygen atoms (O). When sulfite reacts with an acid (such as hydrochloric acid, HCl), it produces sulfur dioxide gas (SO2). The reaction can be represented as follows:
SO3^2- + 2H+ → SO2 + H2O

2. Carbonate (CO3^2-):
The carbonate anion contains one carbon atom (C) bonded to three oxygen atoms (O). When carbonate reacts with an acid, it produces carbon dioxide gas (CO2). The reaction can be represented as follows:
CO3^2- + 2H+ → CO2 + H2O

3. Sulfide (S^2-):
The sulfide anion consists of one sulfur atom (S) bonded to two electrons. When sulfide reacts with an acid, it produces hydrogen sulfide gas (H2S). The reaction can be represented as follows:
S^2- + 2H+ → H2S

So to summarize, the anions sulfite, carbonate, and sulfide produce sulfur dioxide (SO2), carbon dioxide (CO2), and hydrogen sulfide (H2S), respectively, when they react with an acid.