Question: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV 1.4 = C where

When air expands adiabatically (without gaining or losing heat), its pressure P and volumeV are related by the equation

PV^1.4=C where C is a constant. Suppose that at a certain instant the volume is310 cubic centimeters and the pressure is83kPa and is decreasing at a rate of9 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?

_____________cm³/min

(Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals. )

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