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Why is the reactivity of all the three classes of alcohols with cone. \text {HCl}  and \text {ZnCl}_{2} (Lucas reagent) different?

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The reactivity factor of all alcohols depends on the carbocations formed. Since the reaction mechanism followed by these compounds is S_{N}1, the higher stability of intermediate carbocation formed in the first slow step of reaction makes the compound more reactive. The tertiary carbocations formed are most stable, making these compounds most reactive. But in the case of secondary alcohols, they do not show any turbidity at room temperature, but on heating, they exhibit turbidity, so the carbocation formed is slightly more stable than the primary alcohols.

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