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on a mass per time basis. Meaning it would keep track of air intake in pounds per hour (lb/hr) or similar. Fuel is also dosed in the same type of unit, either pounds per hour for the domestic crowd or cc/min with a conversion factor like we are used to. This makes air fuel ratio management pretty straightforward with a MAF. MAP systems require more number crunching in the computer and are also unable to adapt to changes in volumetric efficiency. The MAF sensor was originally developed as a way to deal with this in the early days of fuel injection. To answer your specific question, a naturally aspirated engine would ingest the same volume of air, but at a lower density, and thus less mass. A turbocharged car with a boost controller will ingest a greater volume of air to reach it's programmed boost level. Active control like this makes this a strange and more complicated case.
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