Provide the Lewis structure and molecular geometry as predicted by VSEPR

Provide the Lewis structure and molecular geometry as predicted by VSEPR (with solution) of
the following:
(a) Xenon dichloride, XeCl2

The correct answer and explanation is :

Lewis Structure and Molecular Geometry of Xenon Dichloride (XeCl₂)

Step 1: Determine the Total Valence Electrons

  • Xenon (Xe) is a noble gas in Group 18 with 8 valence electrons.
  • Chlorine (Cl) is in Group 17, and each chlorine atom has 7 valence electrons.
  • Since there are two chlorine atoms, their total contribution is 2 × 7 = 14 valence electrons.
  • The total number of valence electrons in XeCl₂ is:
    [
    8 + 14 = 22 \text{ valence electrons}
    ]

Step 2: Draw the Skeletal Structure

  • Xenon (Xe) is the central atom because it is the least electronegative element.
  • Two chlorine (Cl) atoms are attached to Xe via single bonds.
  • Each single bond accounts for 2 electrons, so 2 × 2 = 4 electrons are used for bonding.
  • The remaining 22 – 4 = 18 electrons are placed as lone pairs on Xe and Cl.

Step 3: Assign Lone Pairs

  • Each Cl needs 8 valence electrons (octet rule). Since each Cl is already bonded to Xe (2 electrons), it needs 6 more electrons as lone pairs.
  • Placing 3 lone pairs (6 electrons) on each Cl satisfies their octet.
  • After assigning 6 electrons to each Cl, 6 electrons remain, which are placed as three lone pairs on Xe.

Thus, the Lewis structure of XeCl₂ consists of:

  • Xenon (Xe) at the center with three lone pairs.
  • Two chlorine (Cl) atoms each having three lone pairs.

Step 4: Determine Molecular Geometry Using VSEPR Theory

  • Electron domains: Xenon has five electron domains (two bonding pairs and three lone pairs).
  • VSEPR Shape Prediction:
  • According to the AX₂E₃ notation, XeCl₂ adopts a linear molecular geometry because lone pairs arrange themselves to minimize electron repulsion.
  • The lone pairs on Xe are positioned equatorially, and the bonding pairs (Cl-Xe-Cl) are positioned axially in a trigonal bipyramidal electron geometry, but the molecular shape is linear.

Final Answer:

  • Lewis Structure: Xe with three lone pairs and single bonds to two Cl atoms.
  • Molecular Geometry: Linear (bond angle ≈ 180°).
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