Why not E2?

[Dentistry's lover]

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I can not convince myself why only SN1 is possible not E2. Need your help before going insane. Thanks
Question 19, substitution reactions, dat oddesey

 

[Wererew]

Please remove the picture. It is a copyright violation of the destroyers...

 

[Syxx]

You've got a weak base that's not really a good nucleophile either. This combination is not favorable for the E2 reaction. That combined with a good leaving group in a polar protic solvent make the sn1 a much better reaction.