KI in acetone, undergoes Sn1 reaction with each of P, Q, R and S. The rates of the reaction vary as:
S > P > R > Q
Some of the fastest Sn1 is given by α-chlorinated carbonyl compounds. The rate of reaction depends upon the stability of carbocation formed after breaking of C-Cl bond. Among all the carbocations formed, S will be the most stable as the positive charge on carbon will be resonance stabilized by carbonyl group.
Rate of reaction will be: S > P > R > Q