what is the hybridization of the central atom in the sulfur hexabromide (sbr6) molecule?

Explanation:

Step1: Determine the number of electron - groups around the central atom

Sulfur (S) is the central atom in $SBr_6$. Sulfur has 6 valence electrons and forms 6 bonds with bromine (Br) atoms. The number of electron - groups (bonding pairs + lone pairs) around the central sulfur atom is 6 (since there are 6 S - Br bonds and 0 lone pairs on S).

Step2: Relate the number of electron - groups to hybridization

The hybridization is determined by the number of electron - groups. When the number of electron - groups is 6, the hybridization of the central atom is $sp^{3}d^{2}$.

Answer:

$sp^{3}d^{2}$