Pressure builds when you shut it down but should still not exceed pressure on cap, look into what is causing loss of cooling system efficiency
A poor seal or a split.
Chances are you have a leak somewhere in your radiator or a connecting hose. While your engine is on, it sucks coolant in and once turned off, pressure pushes the coolant back to the radiator.
A vacuum leak can do that. Check the gasket at the base of the throttle body for a vacuum leak.
The fuel shut off switch could have tripped, reset it if it has.
Sounds like a bad head gasket
Check for a main vacuum leak. Do you feel a loss of power at idle? The A/C and defrost (which uses the A/C) require power from the engine. If it can handle the accessories (A/C, Defrost) it will shut off. Also the power steering strains the engine, does it shut off when you turn the wheel all the way? If so check for a vacuum leak. If the engine is idling rough, get it fixed.
This depends what shut off valve is in question here. Where the leak is and what type of material is the shut off valve made of.
if it is under the hood, it could be a small antifreeze or oil leak that when the engine is running the smoke is blown away, but when shut off it continues to burn off but is not blown away.
your engine will get hotter after you shut off the engine. the coolant thus getts hotter the fluid then expands causing the drip
No. When the engine is running coolant is heated and expands. Excess coolant then flows from the radiator to the expansion (overflow) tank. When the engine is shut down coolant cools and contracts drawing fluid back out of the tank to keep the radiator topped off.
Vacuum leak in dash controls and the engine is working to hard to hold the heat control shut.
Radon gas leak