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I am not too happy with the risk of the high pressure cylinders in accidents. Every now and then, scuba cylinders explode, horrifically, in car accidents but there are not many around so it isn't a significant problem at present.
The numbers you quote are optimistic - 4kW for 3-4 hours is - say 16kWhr, and all that energy wouldn't go into the compressed air. Someone might help us with the amount???16kW is a low power for a car to run at high speed so you'd get much less than 1 hour on a motorway at modest speed.
16kW is a low power for a car to run at high speed so you'd get much less than 1 hour on a motorway at modest speed.
Start at the other end, you have a tank filled to 4200 psi, the pressure you need to drive the cylinder is 500 psi, even at 4000 rpm that gives, a perfomance similar to a 1 litre IC piston engine car for 7-8 hours at a minimum!
If you really have only 16kWh stored then your vehicle will be severely under-powered, compared with a 1 litre IC engine, which can develop 40 or 50 kW, easily. - or it will have less than 1/2 hour of running time.