Consider steady, incompressible and irrotational flow through a reducer in a horizontal pipe, where the diameter is reduced from 20 cm to 10 cm. The pressure in the 20 cm pipe just upstream of the reduceris 150 kPa . The fluid has a vapour pressure of 50 kPa and a specific weight of 5 kN/m$$^3$$’. Neglecting frictional effects, the maximum discharge (in m$$^3$$/sec) that can pass through the reducer without causing cavitations is