a. (A): CCl3COOH (B): CH3COOH
b. \(CH_3COOH\xrightarrow[\text{(ii)}H_2O]{\text{(i) Red }P/ Cl_2} CCl_3COOH\), Hell Volhard Zelinsky reaction
c. \(CH_3COCl \xrightarrow{H_2O}CH_3COOH\)
d. A will be more acidic due to presence of 3 Cl groups (electron withdrawing groups) which increase acidity of carboxylic acid.
e. \(CH_3COOH \xrightarrow{\text{(i)NaOH, CaO (ii) heat}}CH_4 + Na_2CO_3\)