Question #44413

Let $t_i$ represent the kinetic classification of alcohol $i$ in the Lucas test (conc. \ce{HCl} + anhydrous \ce{ZnCl2}) at 298 K: $t_i = 1$ if turbidity appears immediately. $t_i = 2$ if turbidity appears after 5-10 minutes. $t_i = 3$ if no turbidity appears at 298 K.

Let $h_i$ represent the number of $\beta$-hydrogen atoms in the major alkyl chloride product formed when alcohol $i$ is heated with Lucas reagent for a prolonged period.

Consider the following three alcohols: \textbf{P}: 3-Methylbutan-2-ol \textbf{Q}: 2,2-Dimethylpropan-1-ol \textbf{R}: 1-Methylcyclopentan-1-ol

Calculate the value of the expression: $\Sigma (t_i \times h_i) = (t_P \times h_P) + (t_Q \times h_Q) + (t_R \times h_R)$.