The Perkin condensation is an aldol-type condensation in which an aromatic aldchyde (ArCHO) reacts with a carboxylic acid anhydride, $\left(\mathrm{RCH}_{2} \mathrm{CO}\right)_{2} \mathrm{O},$ to give an $\alpha, \beta$ -unsaturated acid $\left(\mathrm{Ar} \mathrm{CH}=\mathrm{CRCO}_{2} \mathrm{H}\right)$. The catalyst that is usually employed is the potassium salt of the carboxylic acid $\left(\mathrm{RCH}_{2} \mathrm{CO}_{2} \mathrm{K}\right) .$ (a) Outline the Perkin condensation that takes place when benzaldehyde reacts with propanoic anhydride in the presence of potassium propanoate. (b) How would you use a Perkin condensation to prepare $p$ -chlorocinnamic acid, $p-\mathrm{ClC}_{6} \mathrm{H}_{4} \mathrm{CH}=\mathrm{CHCO}_{2} \mathrm{H} ?$