Why does your 96 jeep grand Cherokee V8 overheat when your ac is on in hot weather New evaportor and accumulator?

Check coolant level Make sure cooling fan is operable cooling system efficiency degrades with miles... added heat in the condensor, and load on the engine may be enough combined with miles to heat up a little...IF ITS ALOT, aim for thermostatic stuff like fan control and dirty in-nerds in the cooling system...also, check all the tune-related items, and make sure you don't have a chocoalte milkshake inside the underneath of the OIL FILL CAP...indicating a blown head gasket... a teetering cooling system may be behind the whole thing...:)