Before solving problem, you must have some knowledge of elimination reaction.
Elimination reaction: When nucleophile attacks hydrogen instead of carbon.
In E1 reaction the role only depends upon the one species, not on nucleophile.
Step 1: HCl dissociate into H+ Cl-
Now Cl- act as nucleophile.
Lone pairs of OH attack on H+ and abstract hydrogen
Now, OH2 will leave and this step act as rate determining step.
Step 2: Now we know that in E1 reaction nucleophile abstract hydrogen.
Step 3 : Finally we can write whole reaction.
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