Son of Schmilsson wrote:
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I think the question is really about whether the air temp difference between a WAI and a CAI makes a difference when it goes into the compressor side of the turbo.
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Of course it makes a difference. Same as on an N/A car. Cooler air is denser, you get more of it in a given volume (namely, the intake plumbing up to the compressor inlet).
As for the intercooler, air density must increase as temperature falls per the ideal gas law but that just regains most of the density lost due to compression heating; its primary purpose is to cool intake charge for detonation resistance.