(a)
The colour of $KMnO_{4}$ disappears slowly in the beginning and then readily during its reaction with oxalic acid, due to formation of $Mn^{2 +}$ ions which acts as auto catalyst.
$2KMnO_{4} + 5H_{2}C_{2}O_{4} + 3H_{2}SO_{4}\ \longrightarrow K_{2}SO_{4} + 10CO_{2} + 2MnSO_{4} + 8H_{2}O$