The exhaust is leaking a gas/oil mix

White smoke is an indication of a bad head gasket and engine coolant getting into a cylinder.
Check:
- dipstick for coolant mixed with oil
- Radiator for coolant level.
If coolant on oil or coolant level low, time for some time consuming and costly repairs.

white smoke could be head gasket leak. but white smoke will come with warm engine. If engine is first start cold. IT's only water in exhaust system

The most common cause of blue exhaust smoke is oil leaking past engine seals and into the cylinders where it then mixes and burns with the fuel. Oil leaking into the cylinders can cause a rough idle, misfire and fouled spark plugs. So best bet is to have a local repair shop inspect for internal oil leakage.

Sounds like there is unburnt fuel. Could be a spark plug that's burnt out and therefore just flooding a cylinder. Which would push out fuel through the exhaust valve on the exhaust stroke. So once the fuel hits the inside of the exhaust manifold, it burns white, as if you're boiling it off. That one cylinder could have a damaged compression ring on the piston, so the fuel is bypassing it and going into the oil.

I would have your engine tuned up, and check the compressions on the cylinders.

Sounds like you blew a headgasket. When this happens water can mix with oil and it makes the oil look white and foamy when you look into the oil fill cap. Another version is oil mixes into the water and gets into your radiator, this makes the same thick white mess and both versions would have to be thoroughly flushed depending on which got into the other. You could of also just blew the gasket between a water or oil jacket and a piston cylinder. This will cause the fluids to pump into your cylinder, heated and then be forced out the exhaust pipe. If water is mixed with this it will billow out white smoke(steam) in huge amounts. I would check your water levels and oil levels very quickly to make sure it does not empty those systems out and burn your motor up.
The last item is the worst outcome. If a crack somehow was created in the engine block or the head of the motor, the same thing could happen as it exited out the exhaust pipe. Though this is the worst case of really thick white smoke out exhaust.
Resolve: time for a mechanic to diagnose this one before it stops running completely.

Coolant is mixing with the engine oil.Blown head gasket,or cracked,or warped head.

Bradley,
You have stated two problems. Coming to second first. Smell of burning rubber. in the car rubber is only at two places where it can burn, The tyres, unlikely as you have not commented upon your driving habits. Some people like to rev the engine so much before take off that the tyres go burning for the first few hundred meters. And then there is rubber on the wires and cables. You have to check the wires for any heat while the engine is running.
Coming to the first now. White smoke is generally of unburnt fiel and not oil. Oil alwayd give black smoke and that is the indication you get when the exhaust is giving black smoke. That means that the engine is consuming oil. if it is white then that indicates that the engine is cold and burning more gas/diesel. Is your a diesel vehicle?? But as you say it from under the hood. And that too behind the engine block. May be that the gasket is leaking from somewhere. If you could check the engine oil level for a few days early in the morning before starting the engine. If the level drops and the exhaust tail pipe does not blacken your finger when you rub it in it would mean that the oil is being burnt. Now what I suggest is that with the engine running and hand brakes on, go under the car with hood open and try to locate the source of the smoke. I am sure you would be able to locate it.
Then we talk again.

This problem is common but often over looked. Moisture vapor is a grayish white color but it dissipates very quickly. Smoke that is grayish white is caused specifically from burning oil. The problem you have is a small seal called a valve seal. It is very common in cars that sit a fair amount of the time. The seal gradually starts to leak and allow tiny drops of oil to drip into the combustion chamber. When the engine is started then it smokes until the oil is burned. Due to the amount of time that your car smokes after start tells me that the leak is very small. That is why there is no oil consumption. This is not going to harm the car unless it becomes very bad and then the only thing that would happen is more smoke and fouled plugs. You can start using a heavier weight oil and add an oil treatment to the oil when you have it changed. This may evin stop it all together. Hope this answered your question. Please rate this solution if you think it has helped. Good luck and thanks cj2176.

sounds like valve guids are wearing out.. drying out and cracking. only fix is to replace them. or try a heavier oil. sometimes that will help depending on the severity of the problem.

blue smoke out of 1.8 turbo its allways bad oil seal inside turbo.need new turbo or rebuild OEM. with 24 years experience working with vw never seen single headhasket go bad on 1.8 turbo engines.blue smoke its 100% turbo every time