CFM= cubic feet per minute. If the intake air temp is higher, than there is less CFM of air per a given volume of air. This is where the confusion is coming into play and why we are pointing out your contradictions in terminology.
That is not correct. If the intake temp is higher, there is less mass in a given volume of air, its still a given volume. You could take a cubic foot of air, and heat it up, and it will expand into more volume, like in a baloon or increase the pressure in a fixed volume, or cool it off and it will contract. This much is true, and plays a big part in the system.
Cubic Feet per minute is a volume flow, takes no temperature or mass into consideration. 1 cubic foot is 1 cubic foot is 1 cubic foot. That 1 cubic foot could have 0.07 lbs of mass, or it could have 0.05 lbs of mass depending on its temp, and that is the differecnce between mass and volume flow.
The oxygen tank is compressed air that is referenced at a specific temperature, to give you the exact amount of oxygen particles for an exact amount of breathing time for a given persons demand, and its repeatable. If you fill it with higher temp air, they will have to cram in more than 80cuft to make sure you have the same amount of oxygen. While the air is in the tank, if it heats up, it wants to expand so pressure goes up. This is exactly why there is less mass flow with higher IATs, and also lower CFM through the turbo. If the turbo heats up the air, then that air expands, so its a lot easier to make more boost. But its somewhat pointless because the mass of that volume is lower. If the air remains colder in the intake, then its not expanded as much and it takes the tubro moving more ambiant air to fill the intake and supply the engine demand. So at lower IAT, the turbo and air filter have more CFM demand. This is why a good compressor map is done by air mass and not air volume flow. A good map will be in lbs/hr versus CFM.
Imagine now, you took that 80 cubic feet of air and you evacuate the bottle over 60 seconds, how much CFM did it have? You let 0.39 cubic foot of volume out over 1 minute. That is 0.39 cubic feet per minute. But wait, what the hell, you were told that was 80 cubic feet, so why isnt it 80 cubic feet per minute? When you compress something you are shrinking the volume and increasing the mass, so your bottle has 80 cuft worth of ambiant air in it that is only 0.39 cuft any way you slice it. Just like the fixed volume of the engine.
I am not confused, because I understand all of the principles involved, whereas many people do not.
A DMax has a demand for 600CFM at 5000rpm, but if you are pushing 30psi, that would essentially be 1800CFM. So an 800CFM intercooler is about right and BTfarm explained how an upgrade can help.
The horsepower increase is from torque and RPM. As RPM goes up, so does CFM demand and horsepower. But if you increase the horsepower with more fuel, it really just needs more air mass, and the way you get that is by compressing more air into the same volume or making it colder. So technically, it is a CFM increase at the turbo inlet, but just a mass change to the engine. So its more technically accurate to explain it in terms of air to fuel mass ratios. When you say stoichiometry that is in terms of mass, so if you want a 40:1 air to fuel ratio you need to calculate the fuel mass and then the air mass you will need.