Question: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation \(P{{V}^{1.4}}=C\), where C is a constant. Suppose that at a certain instant the volume is 560 cubic centimeters and the pressure is 97 kPa and is decreasing at a rate of 11 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?