Step 1: Identify the components of the complex.
The complex consists of:
- Chromium (\( Cr \)) as the central metal ion.
- Oxalate (\( C_2O_4^{2-} \)) as the ligand, with three oxalate ions attached to the chromium ion.
Step 2: Name the complex according to IUPAC rules.
- The name of the oxalate ion is oxalato.
- The chromium ion is in the +3 oxidation state (since \( K_3 \) indicates a charge of +3).
- The complex is an anionic complex, and the counterion \( K^+ \) is used to balance the charge.
The IUPAC name of the complex is:
\[
\text{Potassium tris(oxalato)chromate(III)}
\]
Final Answer:
The IUPAC name of \( K_3[Cr(C_2O_4)_3] \) is Potassium tris(oxalato)chromate(III).
Final Answer:
\[
\boxed{\text{Potassium tris(oxalato)chromate(III)}}
\]