What is the product for the following reaction:

The reaction is a chair conformer of 1-methyl-1-cyclohexanol, with OH in the axial position and the methyl in the equatorial position, reacting with HCl.

I'm wondering if this reaction is both SN1 and E1, and what are the E1 products?

To determine the product of the reaction between 1-methyl-1-cyclohexanol and HCl, it is important to consider the mechanism of the reaction.

In this case, since the alcohol functional group (-OH) is being reacted with HCl, the reaction can proceed through both substitution (SN1) and elimination (E1) mechanisms.

In the SN1 mechanism, the reaction involves two steps. First, the hydroxyl group (-OH) is protonated to form water (H2O), which leaves as a good leaving group. This step generates a carbocation intermediate. In the second step, the nucleophile (Cl-) attacks the carbocation, resulting in the substitution of the hydroxyl group with the chloride ion. The product in this case would be 1-chloro-1-methylcyclohexane.

In the E1 mechanism, the reaction also proceeds in two steps. In the first step, the hydroxyl group is protonated to form water, generating the carbocation intermediate. In the second step, a base (such as water or a molecule of the solvent) abstracts the proton from the beta carbon (the carbon adjacent to the carbocation). This deprotonation results in the formation of an alkene as the major product, along with the regeneration of the acid or base used in the first step. In this case, the E1 product would be 1-methylcyclohexene.

To determine which mechanism (SN1 or E1) will dominate in this reaction, several factors need to be considered, such as the stability of the carbocation intermediate, the strength of the nucleophile/base, and the conditions of the reaction (temperature, concentration, etc.).