When air expands adiabatically (without gaining or losing heat), its pressure and volume are related by the equation where is a constant.

Suppose that at a certain instant the volume is 380 , and the pressure is 89 kPa (kPa = kiloPascals) and is decreasing at a rate of 8 kPa/minute. At what rate is the volume increasing at this instant?

The volume is increasing at .