To determine in which orbital the pair of electrons in the carbanion \(CH_3C \equiv C^{-}\) is located, we need to analyze the hybridization state of the carbon atom that carries the negative charge.
- First, identify the structure of the compound: \(CH_3C \equiv C^{-}\) consists of a methyl group \(CH_3\) bonded to a carbon atom, which is triple-bonded to another carbon, and this carbon carries the negative charge.
- The carbon atom with the negative charge forms a triple bond with the adjacent carbon atom. When a carbon atom is involved in a triple bond, it is sp hybridized because:
- Triple bonds consist of one sigma bond and two pi bonds.
- The sigma bond arises from the overlap of sp hybrid orbitals.
- The two pi bonds are formed by overlapping of p orbitals.
- In the case of a carbanion like \(C^{-}\), the extra pair of electrons is found in the sp hybridized orbital. This is because hybridization affects the arrangement and type of orbitals available on the carbon atom.
- Therefore, the pair of electrons is located in the \(sp\) orbital of the negatively charged carbon atom.
Thus, the correct answer is: \(sp\)
To rule out the other options:
- \(sp^3\): Typically found in saturated alkanes where carbon forms single bonds.
- \(sp^2\): Found in alkenes where carbon forms a double bond.
- \(2p\): Refers to a pure p orbital, not typically associated with hybridized states in carbanions.