
Lucio F. answered 04/05/19
Physical Chemistry MS+PhD (UC San Diego) + Post-doc (UC Berkeley)
By enatiomeric acid and optically active alcohol reaction, you are likely referring to Fischer Esterification.
1) The carboxylic acid is optically active if it has a chiral center. The alcohol is optically active, so it has a chiral center. So if you form the ester R*(O)OR'** you now have molecule with two chiral centers, so it will certainly be optically active.
2) In the racemic acid reaction case there are at least two different types of chiral centers of the acid to choose from to form
(A*(O)OR'**) and (B*(O)OR'**),
where A and B are the at least two different types of arrangements around the chiral center. I say at least two types because there could be more than one chiral center I guess for starters.