Question

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 440 cubic centimeters and the pressure is 93 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?

Answer 1

we have

put V = 440, P = 93, dP/dt = -7,

hence the volume is increasing at rate of 23.65591 cm³/min.