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Explain the bonding in methane molecules using electron dot structure.

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Hint: The chemical formula of methane molecule is \[{\text{C}}{{\text{H}}_4}\]. It contains four carbon-hydrogen sigma bonds.

Complete answer:
A covalent bond is formed when two atoms share one electron each. Axial overlap of two orbitals form a sigma bond. A covalent sigma bond contains a pair of electrons.
The atomic numbers of hydrogen and carbon are 1 and 6 respectively. The electronic configurations of hydrogen and carbon are \[1{s^1}\] and \[1{s^2}2{s^2}2{p^2}\] respectively. Thus, the number of valence electrons for hydrogen and carbon are 1 and 4 respectively. To attain stability hydrogen should have 2 electrons in its valence shell. For this purpose, a hydrogen atom shares one electron with carbon atom, the carbon atom also shares one electron with this hydrogen atom. Thus, a carbon-hydrogen covalent bond is formed. To attain stability, the carbon atom needs eight electrons in its valence shell. For this purpose, the carbon atom shares 4 electrons with 4 hydrogen atoms to form 4 carbon-hydrogen covalent bonds.
You can write the following structure for methane molecules.

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You can write the following electron dot structure for methane molecules.

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In the above structure, the dot represents the electron of a carbon atom and the cross represents the electron of hydrogen atom.

Note: Since the central carbon atom in methane molecule has 4 bonds and zero lone pairs of electrons, it will undergo \[s{p^3}\] hybridization to form four degenerate \[s{p^3}\] hybrid orbitals. These four degenerate \[s{p^3}\] hybrid orbitals of carbon overlap with four 1s atomic orbitals of 4 hydrogen atoms to form four carbon-hydrogen covalent bonds. Methane molecules have tetrahedral geometry.