For substitutions in ethanol, what can we say about the activation energy? Is it higher or lower than elimination? If it is higher, what reaction is favoured?
Draw the intermediate for elimination. What solvent, water or ethanol, would you expect to be better at stabilising the intermediate? Why?
There is no intermediate in an E2 elimination. There is a transition state. Nevertheless, the activation energy for the transition state depends on the following factors:
- The type of halogenoalkane.
- The strength of the Bronsted base.
- The leaving group.
- The solvent.
Assuming it's a secondary haloalkane, I think it would be less energetically favorable to form a secondary carbocation (to go down the SN1 path) than losing a H to the Bronsted base (to follow the E2 path). However, this isn't always true. We must take the strength of the Bronsted base into consideration. To illustrate, cyanide ion is much less basic than hydroxide and reacts with 2-chlorooctane to give the corresponding alkyl cyanide as the major product of substitution. But in the case where sodium hydroxide is used in ethanol, hydroxide is a strong enough base to abstract the hydrogen, rendering the activation energy for elimination lower than for substitution.
All of the above has been said assuming that the substitution reaction follows the SN1 path. Concerning the SN2 path, it seems, on one hand, that steric hindrance makes this path energetically less favorable than the E2 mechanism. In other words, abstraction of H is more energetically favorable than nucleophilic attack. On the other hand, the hydroxide ion is more exposed in ethanol than in water (the water molecules 'cage' the hydroxide ion more than ethanol) and as a result one would expect that the hydroxide ion can become a better nucleophile in ethanol than in water! Since this isn't the case according to some sources, either my analysis is wrong or it's incomplete. Other than that, I don't see how the solvent affects the transition state in E2.
I mixed my terms, I apologise. I was trying to get across that the transition state in E2 is more stable in ethanol than in water, and this is played out by the difference in activation energy which you have understood.
In your original post you asked how solvent tips the balance in favour of elimination, in this case ethanol is better at stabilising the transition state in elimination than it is at stabilising the carbocation in a substitution reaction. This is because there is a better interaction between ethanol and transition state.
In terms of S
N2 reactions, polar protic solvents like ethanol and water disfavour S
N2 reactions because there is an ion dipole interaction. This ion dipole interaction reduces the nucleophilicity of the hydroxide ion. This is the reason why elimination is favoured when all things are kept equal; because the hydroxide is unable to act as a nucleophile and instead acts as a base. This also explains why in water the S
N1 reaction predominates with low concentrations of base; the water attacks in the carbocation and the hydroxide ion deprotonates the C-OH
2+. I will be disagreed with on this point I know: the hydroxide is acting as a base and not a nucleophile.
In terms of elimination, the reaction rate is faster than the rate for S
N1, ethanol reduces the nucleophilicity of the hydroxide ion but increases its basicity and at he same time it stabilises the transition state in the elimination pathway but is unable to stabilise the carbocation adequately should it form. I think I am also missing the "silver bullet" trying to explain this. I hope I havent added to your confusion.
Also, I have deliberately avoided talking about hard and soft nucleophiles because I dont like this idea.