Differentiate your equation wrt time.
Enter in all your knowns and solve for dV/dt
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 510 cubic centimeters and the pressure is 81kPa 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?
how do approach this problem?