$2\mathrm{.}2-31$ An incompressible fluid $($constant density$)$ flows steadily through a converging nozale, $($a$)$ Show that the $*$pecific flow energy remains constant if the nozzle is adiabatic. $($b$)$ Assuming internal energy remains constant and neglecting the inlet kinetic enerizy, obtain an expression for the exif velocity, in terms of pressures, at the inlet and exit and the fluid density. $($c$)$ For an infet pressure of $500$ kPa and exit pressure of $150$ kPa $,$ determine the exit velocity for a water nocele.