The surface area of non-polar particles (atoms or molecules) has a huge effect on the strength of the London Dispersion Forces between them. Specifically, the more surface area two particles have, the stronger the force between them will be.
To understand this, let's picture two molecules made only of carbon and hydrogen -- CH4 and C6H14. In the Lewis Dot Structures below the colored oval represents the electrons distributed around the molecules.
If the electrons shift to the left in each of these molecules we will get partial charges just like before.
Now if we had two of the CH4 molecules next to each other, we would see a small attraction between them.
If, on the other hand, we had 2 of the C6H14 molecules next to each other, we would have a much larger attraction (really just LOTS of little attractions that add up to a bigger attraction).
This increase in the attraction can be seen looking at simple hydrocarbons (compounds made of carbon and hydrogen).
- CH4 is a gas at room temperature (weak attraction).
- C3H8 (called propane) can be a liquid at room temperature at high pressure (think of the tank of propane on a gas grill).
- Butane, C4H10, has strong enough attractions to be a liquid at room temperature, with only slightly elevated pressure -- it is the fuel in cigarette lighters.
- Octane (C8H18) is one of the major components of gasoline, and clearly a liquid (although it evaporates pretty quickly.
- By the time the chain of carbons has grown to the low teens (for example C13H28) the liquid has become thick due to the extra attractions (this is the type of molecule found in motor oil).
- Airline fuel (containing, among other things, C18H38) is almost jelly-like in consistency.
- Add a few more carbons to the chain and you get solid paraffin wax (molecules of C22H46 and others).
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