Question #44302

Elements $\text{X}$ and $\text{Y}$ belong to Group 17 of the periodic table. $\text{X}$ has the highest negative electron gain enthalpy, while $\text{Y}$ possesses the highest electronegativity. Two symmetric ketones, $\text{P}$ ($\ce{CX3-CO-CX3}$) and $\text{Q}$ ($\ce{CY3-CO-CY3}$), are evaluated for their reactivity towards nucleophilic addition of aqueous $\ce{NaCN}$ at $298\text{ K}$. Let $k_P, k_Q$ be the rate constants and $K_{eq,P}, K_{eq,Q}$ be the equilibrium constants for cyanohydrin formation of $\text{P}$ and $\text{Q}$, respectively.

Assign the following values to the statements below: True = indicated value, False = 0. 1: $K_{eq,P} > K_{eq,Q}$ because the higher electron gain enthalpy of $\text{X}$ makes the carbonyl carbon in $\text{P}$ more electrophilic. 2: $k_Q > k_P$ because the smaller van der Waals radius of $\text{Y}$ minimizes steric repulsion along the Bürgi-Dunitz trajectory. 4: $K_{eq,Q} > K_{eq,P}$ because $\text{Y}$ exerts a stronger $-I$ effect than $\text{X}$, and the $sp^3$ adduct of $\text{Q}$ suffers less steric strain than that of $\text{P}$. 8: The transition state for the nucleophilic attack on $\text{P}$ is stabilized by the higher polarizability of $\text{X}$, making $k_P > k_Q$.

What is the sum of the values of the correct statements?