Unveiling the Lone Pairs of Xenon Compounds
Xenon, a noble gas, was long thought to be completely unreactive. However, under the right conditions, it forms a fascinating array of compounds, particularly with highly electronegative elements like fluorine and oxygen. In this problem, we are tasked with finding the number of lone pairs on the central Xenon atom for four different molecules.
To solve this, we need to rely on a fundamental concept: valence electrons. Xenon, being in Group 18, has a full octet, meaning it has 8 valence electrons in its outermost shell.
The Master Formula
Finding the number of lone pairs is straightforward if you keep track of how many electrons are used in bonding. The formula is simple:
Lone Pairs=2Valence e−−Bonding e−
Remember the bonding rules for the surrounding atoms:
- Fluorine (F) forms single bonds, utilizing 1 of Xenon's electrons per bond.
- Oxygen (O) forms double bonds, utilizing 2 of Xenon's electrons per bond.
Let's break down each molecule systematically.
Molecule by Molecule Breakdown
1. Xenon Difluoride (XeF2)
Here, Xenon is bonded to two fluorine atoms. Since each fluorine forms a single bond, 2 valence electrons are used up.
Subtracting this from the initial 8 leaves us with 6 non-bonding electrons. Dividing by 2, we get exactly 3 lone pairs. According to VSEPR theory, these three lone pairs occupy the equatorial positions of a trigonal bipyramidal geometry, giving the molecule a linear shape.
2. Xenon Dioxide Difluoride (XeO2F2)
This molecule is a bit more complex. It has two oxygen atoms and two fluorine atoms. The two oxygens will form double bonds, using up 4 electrons. The two fluorines will use another 2 electrons for their single bonds.
That's a total of 6 electrons used in bonding. 8−6 leaves us with 2 electrons, which makes exactly 1 lone pair. This lone pair sits in the equatorial plane, resulting in a "see-saw" molecular geometry.
3. Xenon Trioxide Difluoride (XeO3F2)
In this highly oxidized compound, we have three oxygen atoms forming double bonds, consuming 6 electrons. The two fluorine atoms use the remaining 2 electrons for their single bonds.
All 8 valence electrons are now involved in bonding! This means there are zero non-bonding electrons left. Hence, there are 0 lone pairs. The molecule adopts a perfect trigonal bipyramidal geometry.
4. Xenon Tetrafluoride (XeF4)
Finally, let's look at Xenon tetrafluoride. Xenon is bonded to four fluorine atoms, using up 4 electrons for four single bonds.
Subtracting 4 from 8 leaves us with 4 non-bonding electrons. Dividing by 2 gives us 2 lone pairs. These lone pairs occupy the axial positions of an octahedral electron geometry, pushing the fluorine atoms into a square planar shape.
Final Calculation
Matching our findings with the given lists:
- A (XeF2) → 3 lone pairs (Matches with 4)
- B (XeO2F2) → 1 lone pair (Matches with 2)
- C (XeO3F2) → 0 lone pairs (Matches with 1)
- D (XeF4) → 2 lone pairs (Matches with 3)
This exact sequence (A-4, B-2, C-1, D-3) corresponds perfectly to option (d). By simply keeping an accounting of the valence electrons, even the most intimidating noble gas compounds become easy to decipher!