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We study the effects of fast spatial movement of molecules on the dynamics ofchemical species in a spatially heterogeneous chemical reaction network using acompartment model. The reaction networks we consider are either single- ormulti-scale. When reaction dynamics is on a single-scale, fast spatial movementhas a simple effect of averaging reactions over the distribution of all thespecies. When reaction dynamics is on multiple scales, we show that spatialmovement of molecules has different effects depending on whether the movementof each type of species is faster or slower than the effective reactiondynamics on this molecular type. We obtain results for both when the system iswithout and with conserved quantities, which are linear combinations of speciesevolving only on the slower time scale.

Scaling limits of spatial compartment models for chemical reaction networks