The chemical name for Cr₂(SO₃)₃ is Chromium(III) Sulfite. Here's how to break it down:

* Cr₂: This indicates two chromium atoms.

* (SO₃)₃: This indicates three sulfite ions (SO₃²⁻).

* Chromium(III): The Roman numeral III indicates the oxidation state of chromium is +3. This is necessary because chromium can have different oxidation states.

* Sulfite: This refers to the polyatomic ion SO₃²⁻.

Therefore, the complete name is Chromium(III) Sulfite.