# Will this SN1 reaction result in an equilibrium situation?

I'm trying to prove the rate law of an $S_N1$ reaction by measuring the rate of it, when I vary the concentrations of my reagents. However, I believe the reaction of the experiment I have designed will result in an equilibrium. The reaction is as follows:

$$\ce{t-BuOH + HCl -> t-BuCl + H2O}$$

I chose this reaction based on the theory outlined in this website, http://www.masterorganicchemistry.com/2015/02/27/making-alkyl-halides-from-alcohols/

Pretty simple. However, will the $S_N1$ solvolysis reaction, in the opposite direction occur and thus hinder my attempt to measure the rate of the reaction?