The pressure vessel of a nuclear reactor is filled with boiling water having a density of w = 850 kg/m 3 . Its volume is 185 m 3 . Due to failure of a pump needed for cooling, the pressure release...

The pressure vessel of a nuclear reactor is filled with boiling water having a density of

_w
= 850 kg/m³. Its volume is 185 m³. Due to failure of a pump needed for cooling, the pressure release valve A is opened and emits steam having a density of

_s
= 35 kg/m³
and velocity of V = 400 m/s. If it passes through the 40-mm-diameter pipe, determine the time needed for all the water to escape. Assume that the temperature of the water and the velocity at A remain constant.