Except for the diesel trucks, you will never solve a running problem on a Chrysler product by replacing the fuel filter. Pumps almost never fail once they are running. They usually do not start up after sitting for a while so they cause a no-start, not a stall while driving.
The most common thing on your car is the crankshaft position sensor on the back of the transmission bell housing. When it fails, which they commonly do when they get warm, the engine computer interprets the loss of signal as the engine stopped running. Then the computer turns off the Automatic Shutdown (ASD) relay which turns off the injectors, coil(s), and fuel pump. You should still hear the pump run for two seconds when you turn on the ignition switch, but it will no longer run when the engine is rotating, (cranking or running).
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Monday, August 3rd, 2009 AT 4:19 PM