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Madhusudan Chavan (3248)

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Looking at the bond enthalpy of the H-F bond

Because the fluorine atom is so small, the bond enthalpy (bond energy) of the hydrogen-fluorine bond is very high. Comparing all the hydrogen-halogen bond enthalpies:

 

bond enthalpy
(kJ mol-1)

H-F

+562

H-Cl

+431

H-Br

+366

H-I

+299

In order for ions to form when the hydrogen fluoride reacts with water, you first have to break the H-F bond. It would seem reasonable to say that the relative reluctance of hydrogen fluoride to react with water is due to the large amount of energy needed to break that bond.

It might seem reasonable, but if you dig a little deeper, that explanation falls apart!

   

Looking at the energetics of the process from HX(g) to X-(aq)

We need to consider the energetics of this sequence:

All of these terms are involved in the overall enthalpy change as you convert HX(g) into its ions in water.

However, the terms involving the hydrogen will be the same for every hydrogen halide. So if we are just trying to draw comparisons, we only need to look at the terms shown in red in the diagram.

 

bond enthalpy of HX
(kJ mol-1)

electron affinity of X
(kJ mol-1)

hydration enthalpy of X-
(kJ mol-1)

sum of these
(kJ mol-1)

HF

+562

-328

-506

-272

HCl

+431

-349

-364

-282

HBr

+366

-324

-335

-293

HI

+299

-295

-293

-289

If you compare the total HF and HCl values, there is virtually no difference.

   

The large bond enthalpy of the H-F bond is compensated for by the large hydration enthalpy of the fluoride ion. There is a very strong attraction between the very small fluoride ion and the water molecules. This releases a lot of heat (the hydration enthalpy) when the fluoride ion becomes wrapped in water molecules.

The fact that there isn't much difference between the overall values means that we still aren't looking in the right place for the explanation of why hydrofluoric acid is weak!

Looking at other attractions in the system

The mistake we are making so far is in starting from the wrong place! The energy terms we have been looking at start from HX as a gas. In fact, we should be thinking of it starting in solution - but not yet reacted with the water.

The proper equation we should be working from is:

That then needs to be incorporated into an improved energy cycle:

Unfortunately, at this point I've been unable to find any figures for that first stage. However, in each case, that initial separation of the HX from water molecules will be endothermic. Energy is needed to break the intermolecular attractions between the HX molecules and water.

That energy will be much greater in the case of hydrogen fluoride because it forms hydrogen bonds with the water molecules. The other hydrogen halides only form the weaker van der Waals dispersion forces or dipole-dipole attractions.

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