Answer: The shape of \( \text{CO}_3^{2-} \) (carbonate ion) is trigonal planar.
Explanation: The carbonate ion has one carbon atom centrally located and bonded to three oxygen atoms. The Lewis structure shows that the carbon atom forms double bonds with one oxygen atom and single bonds with the other two, with resonance structures allowing for the delocalization of electrons. The arrangement of the three oxygen atoms around the carbon atom results in a trigonal planar geometry, with bond angles of approximately \( 120^\circ \).
Steps:
- Count the total valence electrons: Carbon has 4, and each oxygen has 6, totaling \( 4 + 3 \times 6 + 2 = 24 \) electrons (considering the -2 charge).
- Draw the carbon atom in the center and connect it to three oxygen atoms.
- Distribute the remaining electrons to satisfy the octet rule for oxygen.
- Show resonance structures to illustrate the delocalization of electrons.
Thus, the carbonate ion adopts a trigonal planar shape.