Step 1: Recall definition of coordination number.
The coordination number of a central metal atom in a complex is the number of ligand donor atoms directly bonded to it.
Step 2: Identify ligands in [Cu(CN)$_4$]$^{3-$.}
- The ligand present is CN$^-$.
- Each CN$^-$ ligand donates one pair of electrons through its carbon atom.
Step 3: Count the number of ligands.
There are 4 cyanide ligands attached to Cu. Therefore, the number of Cu–C bonds formed = 4.
Step 4: Conclusion.
Hence, the coordination number of Cu in [Cu(CN)$_4$]$^{3-}$ is 4.
\[
\boxed{4}
\]
(i) Draw the diagram which indicates the splitting of d-orbitals in tetrahedral field.
(ii) Write any one limitation of valence bond theory.
(i)[Ni(CN)₄]²⁻ and [Ni(CO)(_4)] have different structures, but do not differ in their magnetic behaviour. Explain.
(ii) Write the formula of Tetraamineaquachloridocobalt(III)chloride.
(i) Write two postulates of Werner's coordination theory.
(ii) Draw the geometrical isomers of [(NH_3)_3(NO_2)_3] and give their structures.