$3-20)$ Superheated steam enters a nozzle that has an inlet diameter that measures $2\mathrm{.}5$ cm and an

outlet diameter that measures $1$ cm$.$ Its outlet velocity has been measured at $30$ m$/$s$.$ The steam that

enters the nozzle is at $650\backslash$deg C and $1350$ kPa and the steam that exits the nozzle is at $400\backslash$deg C and $100$

kPa. Assume steady state.

A$)$ Determine the velocity of the steam upon entering the nozzle.

B$)$ Determine the rate at which this process gains or loses heat.

C$)$ In modeling a nozzle, it is common to assume the nozzle is adiabatic, and that the velocity

entering the nozzle is negligible. Do your answers in this case seem consistent or inconsistent with

those common assumptions?