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Name:  Ilia
Status: student
Grade: 9-12
Location:NY
Country: N/A
Date: 12/25/2005


Question:
Hello! Why are the melting points of sodium halides (NaCl, NaBr, and NaI) decrease as the molar masses increase, whereas the melting points of hydrogen halides (HCl, HBr, and HI) increase as the molar masses increase?


Replies:
Hi Ilia,

The three hydrogen halides you mentioned are molecular compounds, and the molecules are attracted to one another within the solid mostly by van der Waals forces since the individual molecules (HCl, HBR, HI) have no overall charge.

The van der Waals forces are primarily dipole-dipole and dispersion forces in this case. The dispersion force tends to increase rapidly with the molar mass (all other things being equal) because the molecule becomes more "fluffy" and polarizable as the number of electrons increases, so the intermolecular forces are stronger in HI. This makes the melting point of HI higher than that of HCl.

The three sodium halides mentioned are ionic compounds made out of charged atoms (ions). Although dispersion forces are important here as well, they are much weaker than the Coulombic interaction between the ions and so we need to only focus on the Coulomb interactions to understand the trend.

Each Na+ ion is attracted to all of the halide ions within the crystal lattice, just as each halide is attracted to all of the Na+ cations in the lattice, according to Coulomb's law:
V = - M * q1 * q2 / r

V = energy of coulombic attraction
q1 = charge on the cation = +1
q2 = charge on the anion = -1

r = distance between the nucleus of the cation and the nucleus of the anion

M = a constant (depends on the kind of lattice and units)

The more negative V is, the stronger the attraction between the ions.

This law says that the attraction get weaker as the halide ion gets bigger, because the center of positive charge on the Na+ is farther away from the center of negative charge on the halide. Since the ionic radius increases as you go down the column, the Coulomb attraction gets weaker as you go from NaCl to NaBr and the melting point becomes lower as a result - although the dispersion force increases, it does not increase by nearly as much as the coulomb attraction decreases.

I hope this helps,

Dr. Topper



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