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Identifying Intermolecular Forces

 

The type of intermolecular force depends on the type of molecule. Therefore it is important to classify the molecule.

The first classification is whether the molecule is covalent or ionic. Recall that ionic molecules are a combination of a cation and an anion. The common cations are either a metal or ammonium ion (NH4+). The common anions are nonmetals or combinations of nonmetals. On the other hand, covalent compounds are combinations of nonmetals only. Remember that hydrogen (H), regardless of its position on the periodic table, is always a nonmetal. Although strong acids form ions in water (like ionic compounds), this is due to a reaction with the water. The ions were not present in the original compound, as they are in ionic compounds.

The covalent compounds are then classified as either polar or nonpolar. Determination of polarity often requires drawing the Lewis structure and determining the molecular shape. You may wish to review that section of Chapter 7.

Ionic compounds have ion-ion molecular forces. Hydrogen bonding occurs in molecules where hydrogen is covalently bonded to an oxygen, nitrogen, or fluorine atom. This can be determined from the Lewis structure. Determination of polarity is not necessary. Polar covalent molecules have dipole-dipole forces. Nonpolar covalent molecules have London or dispersion forces. (London and dispersion are two different names for the same force. You should recognize both names, but either answer is correct for nonpolar covalent molecules.)

>> Example 1

What is the force of attraction between molecules of the following substances?

  1. PCl3
  2. NiCl2
  3. I2
  4. HF
  5. HCl
  6. CH2O
  7. H3PO4
  8. BF3

Solution:

  1. This is a covalent compound. (So it does not have ion-ion forces. No hydrogens, so hydrogen bonding is not a possibility.) In the Lewis structure, phosphorus is the central atom. It is bonded to the three chlorine atoms. The phosphorus atom also has a lone pair. Therefore the molecular shape is a trigonal pyramid, which makes it a polar compound. It therefore has dipole-dipole forces.
  2. This is an ionic compound of the metal ion Ni2+ and the nonmetal Cl. Therefore it has ion-ion forces.
  3. This is a covalent compound. All atoms are the same type, so the bonds are all nonpolar and the molecule is nonpolar. Therefore this has London (or dispersion) forces.
  4. This is a covalent compound. Hydrogen must be bound to fluorine. (There are no other atoms!) Since fluorine is one of the "big 3" electronegative atoms (FON), this compound will hydrogen bond.
  5. This is a covalent compound with hydrogen bonded to chlorine. This is a linear, polar molecule, so the force of attraction is dipole-dipole.
  6. This is a covalent compound with both hydrogens and the oxygen bonded to the carbon. Since the hydrogens are not bonded to the oxygen, this does NOT hydrogen bond. It is, however, polar, so the force of attraction is dipole-dipole.
  7. This is a covalent molecule. In fact, it is an oxoacid. Recall that the structure of oxoacids is that hydrogen is bonded to oxygen. Since hydrogen is directly bonded to electronegative oxygen, this compound will hydrogen bond
  8. This is a covalent compound. Boron is satisfied with a deficient octet. Therefore the structure of this compound is that all three fluorines are bonded to the boron, with no other bonds or lone pairs. The molecular geometry is trigonal planar. Since the molecule is the same on all sides, the molecule is nonpolar. Therefore this compound has dispersion (or London) forces of attraction.
A. Ranking the Strength of Intermolecular Forces

In general, ion-ion forces are stronger than hydrogen bonds, which are stronger than dipole-dipole forces, which are stronger than London (or dispersion) forces. Exceptions can be found for two specific compounds in nearly every category. However, that is not something that can be determined from the formula, so your answer should be based on that general ranking.

>> Example 2

Rank the strength of the following compounds from strongest to weakest. (Note: These compounds are also used in the previous example.)

PCl3, NiCl2, I2, HF

Solution:

From the previous example we know that PCl3 has dipole-dipole forces, NiCl2 has ion-ion forces, I2 has London forces, and HF has hydrogen bonds. Ranking according to ion-ion > hydrogen bond > dipole-dipole > dispersion, the ranking of the four substances is

NiCl2 > HF > PCl3 > I2

Compounds can also be ranked within the category of ion-ion forces. Compounds made of ions with higher charges will be stronger than ions with lower charges. Smaller ions are stronger than larger ions. Ionic size can be found in Figure 9.3. You can also estimate the size from the periodic table. Large ions will be lower (in higher periods). There is also an effect of arrangement of ions. This makes the distance factor harder to estimate. Therefore it is generally a good principle to rank the strength of ionic compounds based first on charge, then on size.

>> Example 3

Rank the following ionic compounds according to the strength of their ion-ion forces of attraction

NiCl2, Fe2O3, MgO, KI, BeF2, CrCl3

Solution:

First, look at the charges on the ions that make up each compound.

NiCl2 = Ni2+ and Cl

Fe2O3 = Fe3+ and O

MgO = Mg2+ and O

KI = K+ and I 

BeF2 = Be2+ and F 

CrCl3 = Cr3+ and Cl

Ranking according to the ions with the highest charge. (Multiply charges together if the combination makes it difficult to decide.) Ranking according to charge, the order is

Fe2O3 > MgO > CrCl3 > NiCl2 = BeF2 > KI

Note that MgO is greater than CrCl3, even though +3 > +2. If you multiply the charges, 2(2) = 4, which is greater than 3(1) = 3. The subscripts do not contribute to this decision.

Note also that, based on charge, NiCl2 and BeF2 are the same. Therefore you need to go to the second criteria (that of size) to rank these compounds. Beryllium and fluorine are both in the second period of the periodic table. That makes them smaller than the nickel and chlorine (fourth and third, respectively). Smaller ions can be closer together, so they will have stronger ion-ion forces of attraction.

The final order is

Fe2O3 > MgO > CrCl3 > BeF2 > NiCl2 > KI

Compounds can also be ranked within the category of London forces. Because these forces are due to a temporary dipole formed by the perturbation of the electron cloud, molecules with bigger electron clouds will be more easily and more greatly perturbed. Since the number of electrons is related to the number of protons, which is related to molar mass, the easiest way to rank compounds with dispersion forces is by molar mass. Nonpolar compounds with higher molar masses will have stronger London forces.

>> Example 4

Rank the following from strongest to weakest intermolecular forces.

Cl2, CH4, BF3, SCl2, CO2

Solution:

All these compounds, except SCl2, are nonpolar. SCl2 has two lone pairs on the central atom of sulfur. Its molecular geometry is bent. Consequently, this compound has dipole-dipole forces of attraction and will be stronger than the other choices.

The other choices are ranked based on molar mass. The molar mass of Cl2 = 70.91 g/mol, CH4 = 16.05 g/mol, BF3 = 67.81 g/mol, CO2 = 44.01 g/mol. The higher molar mass will be stronger, so

SCl2 > Cl2 > BF3 > CO2 > CH4

 

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B. Ranking Physical Properties

Predictions about various physical properties can be made based on the strength of the intermolecular forces.

>> Solubility

There are two aspects to solubility. The forces between the solvent and the solute must overcome the solute-solute and solvent-solvent forces. This is most effective if these forces are similar. Therefore polar molecules dissolve in polar solvents and nonpolar molecules dissolve in nonpolar solvents. A common chemist's rule of thumb expressing this idea is, "Like dissolves like." The most common solvent is water. It is a polar solvent.

Ionic compounds sometimes dissolve in polar solvents (particularly water). This occurs when the ion-ion forces are relatively weak. The solubility rules (Table 5.4 in the textbook) are still the best guide to determine solubility of ionic compounds. However, these empirical rules can be partially explained by ion-ion forces. For example, all the ions that are "always soluble" have a charge of 1. So do the mostly soluble compounds, except sulfate. However, even sulfate can be somewhat explained by its large size.

Nearly every material dissolves slightly in any other material. The question, "Is it soluble?" implies that a significant quantity of solute dissolves.

>> Example 5

Which of the following compounds are likely to dissolve in water?

  1. SCl2
  2. O2
  3. NaCl
  4. CO2
  5. PH3

Solution:

  1. SCl2 is a polar molecule with a bent geometry. Therefore it will dissolve in water.
  2. O2 is a nonpolar molecule with a linear geometry and a nonpolar bond between the oxygen atoms. Therefore it will not be soluble in water.
  3. NaCl is an ionic compound. The charges are low (Na+ and Cl), and according to the solubility rules, "group I cations are always soluble." Therefore NaCl is soluble in water.
  4. CO2 is a linear, nonpolar molecule. Therefore it is not soluble in water.
  5. PH3 is a trigonal pyramid, polar molecules. It will dissolve in water.

>> Example 6

Which of the following will dissolve in C6H14 (hexane)?

  1. SCl2
  2. O2
  3. NaCl
  4. CO2
  5. PH3

Solution:

Hexane is a nonpolar solvent. Hydrocarbons, molecules made solely of hydrogen and carbon, are nearly always nonpolar. Therefore nonpolar molecules will dissolve in this solvent. In the list only O2 and CO2 are nonpolar, so only these two compounds are soluble in hexane.

>> Melting Point

For a substance to melt, kinetic forces (increased by increasing temperature) must overcome the intermolecular forces keeping the particles in a fixed position. Therefore higher temperatures are needed to overcome stronger molecular forces. In other words, the stronger the intermolecular force, the higher the melting point.

Remember that a freezing point has the same value as a melting point and can be determined exactly the same way.

>> Example 7

Rank the following substances from highest melting point to lowest melting point.

KNO3, H2O, N2O, NaCl, F2, Cl2

Solution:

First, determine the type of intermolecular force involved in each molecule. Sometimes, it pays to pick out the obvious ones first, rather than try to draw Lewis structures and determine molecular geometry for each compound.

Ion-ion forces are the strongest and are found in salts. KNO3 and NaCl are both salts, so these need to be ranked. Since all ions in both compounds have a +1 charge, size will determine the ranking. K is lower in the periodic table than Na, and so is larger. Nitrate ion, NO3, is a polyatomic ion and therefore larger than Cl. Since smaller ions have stronger forces of attraction, NaCl has a higher melting point than KNO3, and both have higher melting points than any of the other choices.

Dispersion forces are sometime obvious. Since F2 and Cl2 are homoatomic (made of all the same kinds of atom), these will have dispersion forces and have the lowest melting points. Since dispersion forces are stronger with larger molecules, Cl2 has a higher melting point than F2.

H2O must hydrogen bond. The only atom the hydrogen can bond to is oxygen, since hydrogen itself cannot be a central atom. That makes it weaker than the salts but stronger than the halogens.

That leaves only N2O. In drawing Lewis structures, the least electronegative atom is normally the central atom. Since nitrogen is less electronegative than oxygen, one of the nitrogen atoms is the central atom. This skeletal structure requires oxygen on one side and oxygen on the other. There is no way for the pull of electrons to cancel with two different atoms. Therefore this must be a polar molecule, with dipole-dipole forces.

Using this information to arrange the substances by melting point, the compound with the highest melting is NaCl and the lowest is F2,

NaCl > KNO3 > H2O > N2O > Cl2 > F2

>> Boiling Point

Boiling points are always higher than melting points for any one substance. The method for ranking different substances is the same as that for melting points. Substances with stronger intermolecular forces require higher temperatures to escape that attraction and become a gas (boil). The ranking assumes a constant atmospheric pressure. Lower atmospheric pressures decrease the boiling point of any substance.

>> Example 8

Rank the following substances from highest boiling point to lowest boiling point.

CaS, HNO3, KBr, SO2, XeF4

Solution:

Determining the "obvious" intermolecular forces first, CaS and KBr are ionic compounds, with ion-ion intermolecular forces. The forces will be stronger for CaS, since it is made from ions with a charge of 2, whereas KBr is made from ions with a charge of 1. HNO3 will hydrogen bond, since it is an oxoacid and hydrogen is bonded to the oxygens rather than the central atom. (Even if it was bonded to the central atom, nitrogen is electronegative enough to induce the hydrogen bond.)

The other two atoms require Lewis structures. The Lewis structure of SO2 has a double bond to one of the oxygens, single bond to the other, and a lone pair on the sulfur. Since the double bond could be attributed equally to either oxygen, this is a resonance compound and the true position of the double bond is equally distributed between the two oxygens, so both sulfur-oxygen bonds are exactly the same. However, the lone pair on the sulfur makes the geometry bent, and the overall molecule is polar. Therefore it has dipole-dipole forces of attraction.

The XeF4 expands the octet of the xenon. The xenon not only bonds to the four fluorine atoms but also has two lone pairs. The overall molecular geometry is square planar because the lone pairs orient themselves on opposite sides of the octahedral. Therefore the partial negative charge due to the lone pairs cancel, as do the polar bonds of each xenon-fluorine bond. Overall, the molecule is nonpolar and has dispersion forces of attraction.

Based on this, the ranking of from highest boiling point to lowest boiling point is

CaS > KBr > HNO3 > SO2 > XeF4

>> Vapor Pressure of Pure Substances

Vapor pressure is determined by the number of molecules that can escape from the surface of a liquid. More molecules can escape if the force of attraction, which holds the molecules together, is weak or if the force pulling them away (kinetic energy measured by temperature) is high. Problems asking you to rank vapor pressure assume all substances are at the same temperature (in the same way that ranking in terms of boiling point assumes that all substances are at the same atmospheric pressure).

>> Example 9

Rank the following substances from highest vapor pressure to lowest vapor pressure.

Br2, NH3, Ar, PCl3, PCl5

Solution:

NH3 must hydrogen bond, since the hydrogen must be bonded to the nitrogen. Br2 and Ar must have dispersion forces, since Br2 has only nonpolar bonds and Ar has no bonds. You will probably need to draw the Lewis structures for PCl3 and PCl5. PCl3 has three P-Cl bonds and one lone pair. Therefore it has a trigonal pyramid geometry and is polar. PCl5 has an expanded octet with five P-Cl bonds and no lone pairs. It is a nonpolar molecule. The nonpolar molecules are ranked by molar mass. The molar masses are Ar = 39.95 g/mol, PCl5 = 208.24 g/mol, Br2 = 159.80 g/mol.

Since the highest vapor pressure has the weakest intermolecular forces, the nonpolar molecule (dispersion force) with the lowest molar mass will have the highest vapor pressure. The substance with the strongest intermolecular forces will have the lowest vapor pressure, so

Ar > Br2 > PCl5 > PCl3 > NH3

>> Viscosity and Surface Tension

Like vapor pressure, viscosity and surface tension depend on both the temperature and the intermolecular forces of the substance. Increasing temperature decreases both the viscosity and the surface tension. At any given temperature, the substance with stronger intermolecular forces has greater viscosity and higher surface tension.

>> Example 10

Rank the following substances from highest viscosity to lowest viscosity.

Br2, H2O, CCl4, PH3

Solution:

Liquids with stronger intermolecular forces have higher viscosity. H2O will hydrogen bond. PH3 is polar (phosphorus has a lone pair). Br2 and CCl4 are both nonpolar. The molar mass of bromine is 159.8 g/mol and that for carbon tetrachloride is 153.82 g/mol. Therefore highest viscosity is for water and the lowest is for carbon tetrachloride. The ranking is

H2O > PH3 > Br2 > CCl4

>> Example 11

Rank the substances from the previous example from highest surface tension to lowest surface tension.

Solution:

Liquids with stronger intermolecular forces have higher surface tensions. Therefore the order of ranking is the same as it is for viscosity.

H2O > PH3 > Br2 > CCl4

 

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