A gas station uses a 0.05 m^3 tank to store air at 800 kPa (absolute) and 15C. The tank is equipped with a valve through which air is released. The flow area through the valve is 65 mm^2. The air passing through the valve has a speed of 300 m/s and a density of 6 kg/m3. Calculate the rate of change of density ( d(rho)/dt ) in the tank the moment the valve is opened. Assume uniform properties in the tank at any instant.