The truck runs rough and has white smoke coming out the tail pipe

Go to the wreckers car junk yard and see if you can find another module or buy a new one but yes it sounds faulty... modules are non-serviceable so just get another... Run a code reader just to make sure that it is that module thats faulty

White smoke from tail pipe normally means you are burning coolant. Could be a blown head gasket. With car running, check for sweet smell from tail pipe, if you do, it's coolant burning. Also see if you have coolant running out of tail pipe. You can also remove spark plugs and see if they look clean or like new. Another indicator that coolant is making it's way into engine cylinders. Could only be going into one of all.

A heavy presence of white smoke from the tail pipe is usually caused by a bad headgasket. If this gasket is bad, the vehicle may run rough as well as overheat.

white smoke is water passing threw cylinders which generally means your head gasket needs replaced.

Water in oil means the jacket seals are bad. In some cases that happens when the block cracks from very cold temps. Either way you need to have the engine checked by a technician ASAP.

Are you saying you have smoke coming out of the tail pipe ? Or is something dripping onto the exhaust pipe and burning ?
If the smoke is coming out of the tail pipe, is it blue, white, or black ?

Possibly a blown head gasket, letting coolant into the cylinders to be burned. White smoke is usually coolant burning. Have the engine's compression tested to verify.

Hello white smoke is usually engine antifreeze,Blue smoke oil burning,Black smoke car running to rich on gas,gas is not burning properly.

oooooooooooo my friend white smoke mens head gasket is gon sorry

White smoke is caused by coolant or water coming out the tail pipe. There is a chance that the white smoke was caused by water splashing up from a puddle onto the exhaust pipe. Keep an eye on the coolant level in the radiator in any event.

Let us know how it goes or if the problem persists. We're looking forward to how things go for you.