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What is Pantothenic acid is coenzyme for which of the following reaction and explain in detail?
The functions of pantothenic acid are exerted through coenzyme A or CoA (A for  acetylation). Coenzyme A  is a central molecule involved in all  the  metabolisms (carbohydrate, lipid  and protein).
NOTE : Pantothenic acid as a part of CoA takes part in :

Fatty acid oxidation
Acetylation
Citric acid cycle
Cholesterol synthesis

Ref : Satyanarayana. 3rd ed, pg - 149