When air expands adiabatically (without gaining or losing heat), its pressure Pand volume V are related by the equation PV14 = Cwhere C' is a constant. Suppose that at a certain instant the volume is 670 cubic centimeters and the pressure is 99 kPa and is decreasing at a rate of 7 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. )

When air expands adiabatically (without gaining or losing heat), its pressure Pand volume V are related by the equation PV14 = Cwhere C' is a constant. Suppose that at a certain instant the volume is 670 cubic centimeters and the pressure is 99 kPa and is decreasing at a rate of 7 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. )