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 C is a constant. Suppose that at a certain instant the volume is 470 cubic centimeters and the pressure is 97 kPa and is decreasing at a rate of 15 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? 1 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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