MST research project

hello, i'm doing a MST research project, and i chose to do something with cars. pretty much, i had to think up of an idea, and it doesn't have to be financially feasible and i don't have to build it.

this is my plan on making a turbocharged car with no lag...

i was thinking, could you put a small airpump with a tank after the exhaust manifold and before the turbo, and whenever the car idles, the air pump pressurizes some exhaust air into the tank. to overcome the problem is the car isn't idle (say, at a light) long enough, air can also be redirected from the BOV and into the airtank. so, whenever throttle is applied, some air rushes out of the air tank and through the turbo, so it's always (or almost always) making positive pressure.

i know this is kinda "out-there", and it would probably be a big pain in the ass and a lot of money to make work, but what are your opinions on this?

A similar system have already been used in trucks. Trucks already has a pneumatic system (used for brakes and so on), so that system was used to power the turbine for a shorter spool-up. But the air in the system is cold so you will need a HUGE amount of air since the turbine can only extract pressure and kinetic energy, not any heat energy as with the hot exhausts.