Problem 83

Question

Draw a Lewis structure for \(\mathrm{ICl}_{3} .\) Predict the shape of this molecule. Does it function as a Lewis acid or base when it reacts with chloride ion to form \(\mathrm{ICl}_{4}^{-}\) ? What is the structure of this ion?

Step-by-Step Solution

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Answer
\(\text{ICl}_3\) is T-shaped and acts as a Lewis acid; \(\text{ICl}_4^-\) is square planar.
1Step 1: Count Valence Electrons
First, determine the number of valence electrons for the molecule \( \text{ICl}_3 \). Iodine (I) is in Group 17, having 7 valence electrons, and each Chlorine (Cl) also has 7 valence electrons. The formula \( \text{ICl}_3 \) consists of one iodine atom and three chlorine atoms. Thus, the total number of valence electrons is \(7\) from iodine plus \(3 \times 7 = 21\) from chlorine, giving a total of \(28\) valence electrons.
2Step 2: Create a Skeleton Structure
Place iodine as the central atom since it is less electronegative than chlorine. Position the three chlorine atoms around the iodine atom, each bonded by a single line representing a pair of shared electrons.
3Step 3: Distribute Remaining Electrons
Subtract the electrons used in bonds from the total valence electrons. There are three \( \text{I-Cl} \) bonds, using 6 electrons. So, \(28 - 6 = 22\) electrons remain. Distribute these electrons to complete the octets of surrounding chlorine atoms (each gaining 6 additional electrons, totaling 18 electrons). This leaves 4 electrons that can be added to iodine as two lone pairs.
4Step 4: Determine Molecular Shape
With 3 bonds and 2 lone pairs on iodine, use VSEPR theory to predict the shape. The electronic geometry is trigonal bipyramidal with the lone pairs occupying equatorial positions, leading to a T-shaped molecular geometry for \( \text{ICl}_3 \).
5Step 5: Analyze Lewis Acid/Base Reaction
When \( \text{ICl}_3 \) reacts with a chloride ion to form \( \text{ICl}_4^- \), it acts as a Lewis acid because it accepts an electron pair from the chloride ion.
6Step 6: Draw the Structure of \( \text{ICl}_4^- \)
For \( \text{ICl}_4^- \), calculate its valence electrons: 7 (from I) + 4 \(\times\) 7 (from Cl) + 1 (extra electron from chloride ion) = 36 electrons. Create bonds between I and each Cl. Subtract 8 electrons for the bonds, leaving 28 electrons. Distribute electrons to complete the octets of Cl atoms (totaling 24) and place 2 lone pairs on I. The structure is square planar.

Key Concepts

Molecular GeometryVSEPR TheoryLewis Acids and Bases
Molecular Geometry
Understanding the molecular geometry of a compound is crucial because it determines how a molecule interacts with other molecules, influencing properties such as reactivity and polarity. For the molecule \(\mathrm{ICl}_{3}\), iodine is the central atom, around which three chlorine atoms are arranged. Through the process of determining its geometry, we discover that it has a T-shaped structure. This is based on the spatial arrangement of atoms and lone pairs around the central iodine atom.

In simple terms:
  • Iodine forms three bonds with chlorines, using up six electrons.
  • The remaining pairs of electrons (lone pairs) influence the 3D shape.
  • Lone pairs create repulsion, leading to a T-shaped geometry instead of a linear or bent shape.
When thinking of molecular geometry, try to visualize how the atoms and electron pairs arrange themselves to minimize repulsion, resulting in a particular shape and geometry.
VSEPR Theory
The Valence Shell Electron Pair Repulsion (VSEPR) theory is like a guiding map for predicting the shape of molecules. It tells us that electron pairs, both the bonding and non-bonding ones, want to stay as far apart as possible due to repulsion. This is akin to how crowded people might spread out in a park.

In \(\mathrm{ICl}_{3}\):
  • There are three bonding pairs from I to Cl and two non-bonding lone pairs on the central iodine atom.
  • According to VSEPR, these will arrange in a way (Trigonal Bipyramidal) that allows them to be farthest apart.
  • The lone pairs prefer the equatorial position in this arrangement, leading to a T-shaped molecule.
By understanding VSEPR theory, students can deduce the shapes of many other molecules by simply looking at their electron pair arrangement.
Lewis Acids and Bases
Lewis theory redefines acids and bases, focusing on the sharing or accepting of electron pairs rather than just removing hydrogen ions or hydroxide ions. This is handy to comprehend reactions like the one involving \(\mathrm{ICl}_{3}\).

When iodine trichloride reacts with an extra chloride ion to form \(\mathrm{ICl}_{4}^-\), it behaves as a Lewis acid:
  • Lewis acids accept a pair of electrons, as iodine does when acquiring the additional chloride.
  • The chloride ion supplies this electron pair, making it a Lewis base.
  • This action results in an expanded octet for iodine, typical in such reactions.
Grasping the concept of Lewis acids and bases expands our understanding of various chemical reactions beyond simple acid-base definitions, and is fundamental in comprehending the reactivity of non-organic compounds.