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Valence electrons are the outermost electrons found in an atom and are responsible for interacting with other atoms. These electrons play a crucial role in forming chemical bonds. For the carbon dioxide (\(\mathrm{CO}_{2}\)) molecule, carbon (C) contributes 4 valence electrons. Each oxygen (O) atom contributes 6 valence electrons. Since \(\mathrm{CO}_{2}\) contains two oxygen atoms, we multiply 6 by 2 to get 12 valence electrons from the oxygen atoms alone. Adding these to the 4 valence electrons from carbon, we have a total of 16 valence electrons available for bonding in the molecule. Understanding valence electrons helps in drawing Lewis structures, predicting molecular shapes, and comprehending the behavior of atoms in a molecule.

The Octet Rule is a fundamental concept in chemistry that guides the formation of stable molecules. This rule suggests that atoms tend to form bonds until they are surrounded by eight valence electrons, giving them a noble gas-like configuration, which is energetically favorable. In the case of \(\mathrm{CO}_{2}\), each oxygen aims to complete its octet of 8 electrons. Initially, an oxygen atom has 6 valence electrons, so it needs two more to satisfy the octet rule. These are provided through bonding with carbon. Carbon, with its 4 valence electrons, needs 4 more to reach a full octet. By forming double bonds, carbon shares electrons with the two oxygens, achieving stability with 8 electrons in its outer shell, just like oxygen. Thus, the octet rule helps to determine how these atoms share electrons to form a stable molecule.

Chemical bonding is the force that holds atoms together in a molecule. Understanding chemical bonding allows us to explain how atoms stick together to form compounds. In the \(\mathrm{CO}_{2}\) molecule, carbon and oxygen atoms form covalent bonds by sharing electrons. - **Covalent Bonds:** - These bonds occur when atoms share pairs of valence electrons. - In \(\mathrm{CO}_{2}\), carbon forms two double bonds, one with each oxygen atom. These double bonds share two pairs of electrons between the atoms.Covalent bonding explains the stability of the \(\mathrm{CO}_{2}\) molecule, as sharing electrons allows atoms to achieve full outer electron shells, complying with the octet rule. Comprehending how atoms bond chemically leads to a better understanding of molecular structures and reactions.