optical rotation of styrene oxide Which optical isomer of Styrene Oxide  would be produced if it is synthesized via epoxidation of the halohydrin. i.e.  



Is there a way to deduce this? I assume it would depend on which isomer the halohydrin itself is since that too seems to have an assymetric Carbon atom?

Well, the halohydrin itself is produced from styrene which is optically inactive by the action of hypochlorous acid. Does this enable us to deduce theoritically the optical rotation of the final product i.e. Styrene Oxide?
Styrene and HClO are going to make a racemic mixture, in which case the epoxide will also be racemic, i.e. there should be no optical rotation.

An alternative would be to use the Jacobsen epoxidation, the Shi epoxidation or some other enantioselective epoxidation.