Step 1: Understanding Trans-esterification
Trans-esterification is the process in which an ester reacts with an alcohol to form a new ester and a different alcohol.
It is a reaction between an alcohol and an ester, usually in the presence of a catalyst.
Step 2: Explanation of Other Options
Option (a) is incorrect because trans-esterification does not involve two ester molecules.
Option (b) is incorrect because trans-esterification does not involve carboxylic acid directly.
Option (c) is incorrect because the reaction does not involve ether.
Step 3: Conclusion
Thus, trans-esterification is a reaction between an alcohol and an ester.