Final answer:
The CH₃CO₂CH₃ molecule, or acetone, has a central carbon with sp² hybridization and trigonal planar geometry, and CH₃ carbon atoms with sp³ hybridization and tetrahedral geometry.
Step-by-step explanation:
The molecule CH₃CO₂CH₃, also known as acetone, is an organic compound with various carbon atoms showing different hybridizations and molecular geometries. Breaking down the molecule, we see that the central carbon atom in the CO₂ group is double-bonded to two oxygen atoms and single-bonded to another carbon, leading to sp² hybridization and a trigonal planar geometry with approximately 120° bond angles.
The carbon atoms in the CH₃ groups are each bonded to three hydrogen atoms and another carbon atom, resulting in an sp³ hybridization and a tetrahedral geometry with approximately 109.5° bond angles.