Give the count of distinct peaks in the carbon-13 ($^{13}$C) NMR spectrum of phenylethanoic acid.
Phenylethanoic acid, ethanol and phenol can each act as acids. Compare their acidities and explain the relative order for these three compounds.
Write an equation for the reaction of chloromethane with $\text{AlCl}_3$.
Draw the mechanism for the reaction of benzene with $\cdot\text{CH}_3$. Include every relevant curly arrow, charge and the intermediate structure.
State the reagent and conditions for step 1.
Suggest the structure for compound Q.
State the reagents and conditions for steps 2 and 3.
Draw the structure of an organic by-product formed in step 1.