You can get a 1996 Chevy Corvette vacuum hose schematic diagram at most Chevrolet dealerships. Your local library will have Chevrolet Corvette service manuals with the diagram.
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Well there are lots of possible reasons, BUT Li key it is a vacuum leak, either the hose of Brake booster, and or intake is / has a leaking vacuum line.
If they are vacuum operated then I would suspect a vacuum hose leak. It may also be that some moving parts need lubrication.
The best way to repair a vacuum hose on your Chevrolet is to replace the vacuum hose. The vacuum hose is held in place with a retaining clamp on each end of the hose.
There is no transmission vacuum hose. That is a vent hose.
You look up the size of the hose from the instructors manual that came with the vacuum you purchased. Then you look for stores near you which have the hose your vacuum needs and then you buy the vacuum hose.
Buy a Haynes Manual at your local auto parts store (just like a Chiltons) and find page with diagrams.
Its the hose that attached to a vacuum. Its where the suction is transferred from the vacuum cleaner to any attachments. Its also generically referred to as a vacuum for your car.
That would be a vacuum hose with a hole in it, burst isn't usually a term I would use with a vacuum hose as it tends to imply pressure pushing out.
Near the firewall under the hood, there is a little vacuum hose that has a plastic disk looking thing in the hose. This piece actually has to do with an engine backfiring, but that disk thing is probably cracked from heat and age. Needs to be replaced. If that is okay or you can't find it, Look for a vacuum hose going into the firewall, follow it to the intake and make sure it has vacuum. If it does, then the problem is inside the car, probably has a leaking vacuum line behind head unit or needs a head unit.
The low side ac port on a 1997 Pontiac Firebird should be located on a hose on the passenger side. The hose is close to the radiator.