Final answer:
The chemical reaction specified is a double displacement (metathesis) reaction, and it is also classified as a redox reaction due to changes in oxidation states.
Step-by-step explanation:
The reaction described in the question is Fe₂S₃(s) + 6HCl(g) → 2 FeCl₃(s) + 3 H₂S(g). This is a type of chemical reaction known as a double displacement or metathesis reaction. In this reaction, there is an exchange of ions between two compounds resulting in the formation of two new compounds. Additionally, this particular reaction also falls under the category of a redox reaction because there is a transfer of electrons from one species to another, leading to changes in the oxidation states of iron (from Fe2+ to Fe3+) and hydrogen (from H+ to H2).