'A' Level Qns.
1) Compare the structures of carbon dioxide and silicon
dioxide.
2) Compare the solubilities of calcium fluoride vs calcium
chloride (and contrast these, in turn, to the solubilities of
silver fluoride vs silver chloride)
3) Compare the structures of beryllium fluoride vs calcium
fluoride.
4) Compare the structures of beryllium fluoride vs beryllium
chloride.
Solutions :
1) Compare the structures of carbon dioxide and silicon
dioxide.
At room temperature and pressure, carbon dioxide is a
simple (linear) covalent molecule while silicon dioxide has a
giant tetrahedral 3D structure.
The preference for silicon to form 4 single bonds (hence
tetrahedral macromolecule), rather than 2 double bonds (as in
carbon dioxide) can be traced to the decreased ease of overlap of
its 3p orbitals, compared to the 2p orbitals in carbon, to form pi
bonds. In other words, due to the greater atomic radius of silicon
(compared to carbon) and hence greater inter-atomic
distance between silicon and oxygen (compared to carbon and
oxygen), it is easier and more stable to form single bonds between
silicon and oxygen, while in contrast, it is easier and more stable
to form double bonds between carbon and oxygen.
2) Compare the solubilities of calcium fluoride vs calcium
chloride.
Calcium fluoride is insoluble while calcium chloride is soluble.
Let's consider qualitatively why calcium fluoride is insoluble
(as compared to calcium chloride).
In terms of enthalpy, the (endothermic) lattice
dissociation enthalpy outweighs the (exothermic) hydration
enthalpy, for calcium fluoride; while the (exothermic) hydration
enthalpy outweighs the (endothermic) lattice dissociation enthalpy,
for calcium chloride.
This is due to the much higher charge density on the fluoride
ion, resulting in a much more strongly endothermic
lattice dissociation enthalpy for calcium fluoride (compared to its
chloride). The exothermic hydration enthalpy
also falls from fluoride (higher charge density) to
chloride (lower charge density), but the decrease is not
as sharp as the fall in lattice dissociation enthalpy.
(Note that the difference in hydration enthalpies is
apparent when you consider that silver fluoride is soluble while
silver chloride, silver bromide and silver iodide are insoluble. In
this case, because the silver cation has low charge density,
hydration enthalpy changes more significantly than lattice
dissociation enthalpy, between fluoride and chloride.)
Overall, lattice dissociation enthalpy falls more sharply than
hydration enthalpy, when we go from calcium fluoride to calcium
chloride. Enthalpy argument hence favours the
solution/dissolving of the chloride (ie. it's worth the cheap
endothermic lattice dissociation investment, we get
back even more heat energy from the ion-dipole interactions
with water) over the solution of the fluoride (ie. it's not worth
it, we can't get back our expensive endothermic lattice
dissociation investment).
In terms of entropy, the fluoride anion has a much higher
charge density (compared to chloride) and hence far
stronger ordering power over surrounding polar water
molecules. Entropy (ie. disorderliness) hence favours the solution
of the chloride over the fluoride.
Interestingly (and fortunately for stressed students), both
enthalpy and entropy arguments favour the solution of the chloride
over the fluoride.
Acknowledgement & Reference
:
Jim Clark's
ChemGuide.co.uk : http://www.chemguide.co.uk/inorganic/group2/problems.html
3) Compare the structures of beryllium fluoride vs calcium
fluoride.
Calcium fluoride has an ionic lattice structure (wherein calcium
is coordinated to eight fluoride anions and each F− ion
is surrounded by four Ca2+ ions). Beryllium fluoride has
a covalent structure (even though it's more ionic compared to say,
beryllium chloride; due to the fact that fluorine, being the #1
king of electronegativity in the entire periodic table, is
even more electronegative than both chlorine and
the Be2+ cation), and exists as a simple covalent
(linear molecular geometry) molecule in the gas phase, while
in the solid crystalline phase as a silicon dioxide-like
tetrahedral 3D structure with four coordinate
beryllium (ie. one fluoride atom each from 2 neighbouring
molecules give dative bonds to the beryllium atom of a central
molecule, allowing beryllium to have a stable octet; consequently
and structurally, every Be atom is bonded to 4 F atoms, and
every F atom is bonded to 2 Be atom; formal charges of -2 and +1
exist on the beryllium and fluorine atoms respectively).
4) Compare the structures of beryllium fluoride vs beryllium
chloride.
In the gas phase, both beryllium fluoride and beryllium chloride
exist as a simple linear covalent molecule (see answer to Q3
above).
In the solid phase, while beryllium fluoride has a silicon
dioxde-like tetrahedral 3D structure (see answer to Q3 above),
beryllium chloride polymerises to make long (virtually)
1-dimensional polymer chains. One chlorine atom each from 2
neighbouring molecules will give a dative bond with a beryllium
atom from a central molecule, allowing beryllium atoms to enjoy a
stable octet. So a similar process for a similar objective occurs
between the beryllium atoms and the halogen atoms, in both
beryllium fluoride and beryllium chloride, but the end
structure is different (akin to the alpha helix vs beta pleated
secondary structure of polypeptides due to hydrogen bonding).
In this case, the end-result difference in beryllium halide
structure is naturally related to the difference
in properties between fluorine vs chlorine, resulting in
an alternative most-stable beryllium halide
solid structure (the specifics are beyond the
requirements of the 'A' level or H2/H3 syllabuses.)
Wikipedia image of beryllium chloride long chain polymer
http://en.wikipedia.org/wiki/File:Beryllium-chloride-xtal-3D-balls-A.png