1997 acura rl 3.5 WHITE SMOKE no over heating no no noise no smell no loss of coolant only white smoke even driving

What color smoke white means coolant. Blue means oil. You could have loss of compression causing the drag the noise could be a air or coolant leak

White smoke is usually a sign of the engine burning coolant.
You may have a gasket leak where the coolant is leaking into the cylinders when the engine is off, and you are burning it out until it warms up.

Sounds like you may have a blown head gasket,white smoke is usually caused by this,driving it can cause major damage,best to have towed to a shop.

the onlie last thing is to replace the thermostat. check the heater core/radiator.

The key is how much smoke? Does the smoke have a smell to it. Are you consuming any fluids, like coolant, or oil?

Tons White smoke that is sweet smelling is usually coolant getting into the combustion chamber.

Less white smoke, especially if other cars are doing it, is normal. For every gallon of gas that you burn, you generate a gallon (GALLON) of water. so this water usually evaporates, but sometimes not. It has little or no smell.

If the smoke is bluish white, that is oil, but usually your converter would fill with oil, and cause error codes, or loss of power. This smell is distinct, but not necessarily sweet.... After the converter heats up, it may be able to burn off the oil and the smoke stops.

What are you consuming, fluid wise, will direct where you go next.

HAVE YOU NOTICED COOLANT LOSS,RECENTLY?KEEP THE COOLANT LEVELS FULL,CHECK TO SEE FOR ANY LOSS AT ALL! OIL SMOKE IS MORE BLUE THAN WHITE,BUT FUEL CAN HAVE A LIGHT BLUE SMOKE.Antifreez more whitesh with a similar smell of antifreeze.

This would not be just rings. Rings do not tap, and rings do not make white smoke. Rings make smoke that is often described as blue, even though it also has some white.

White smoke, on the other hand, usually is a LOT. and quite visible and thick. Some say it smells sweet. This is coolant in the combustion chamber....

I sugges that the tapping be diagnosed, then decide what to do, as surgery may be too costly to make any sense.

A valve repair, and a head R&R and resurface, check for cracks, and put back on just MIGHT make sense to spend the $$ .

Don't worry I'm sure you will get the solution of your problem, just check the link I attach https://www.reliable-store.com/products/2001-acura-rl-workshop-service-repair-manual

it does sound like a head gasket allowing coolant into the cylinders and burning which creates the white smoke. a head gasket is a large job which requires you pull the cylinder head from the top of the engine. auto parts stores sell head gasket kits. you would also need the propper torque specs for the head as well as the sequence for tightening the head bolts.
before you go about replacing or having the head gasket replaced have you been losing coolant. is there any oil in your coolant or coolant in your oil your engine oil will look milky.

as i'm not familiar with an acura is the enginge a v-6 if it is it could also be the intake leaking as most v-6 engines cycle coolant through the intake manifold and can send coolant ito the cylinders if it is leaking.

One way to check for a blown head gasket, is to simply smell the coolant reservoir. Pop the cap, and see if it smells like raw gas. Every headgasket, I've diagnosed has had this smell, even if the oil is not contaminated. Another way is to hook up a coolant pressure tester, and run the vehicle for 15-20 mins or so. If the head gasket is blown, the pressure will exceed 15 psi. sometimes as high as 25 psi. If there is oil in the coolant overflow tank, the head is cracked, about 90% of the time.
I'm working on a 03 Saab 95 2.3l t. This vehicle smokes on initial start up, then the smoke disapates, and the vehicle is fine. Another mechanic diagnosed it as bad valve seals. I disconnected the pcv system, and the vehicle no longer smokes. If the valve seals have gone bad, the vehicle will smoke on acceleration. Also if the turbo seals are leaking it will smoke more heavily on acceleration.