Air is pumped into and withdrawn from a 10 m3 rigid tank as shown in the accompanying figure. The inlet and exit conditions are as follow. Inlet: v1 = 2 m3/kg, V1 = 10 m/s, A1 = 0.01 m2; Exit: v2 = 5 m3/kg, V2 = 5 m/s, A2 = 0.015 m2. Assuming the tank to be uniform at all time with the specific volume and pressure related through p*v = 9.0 (kPa-m3), determine the rate of change of pressure in the tank.