Problems $(60$ points$)$ Include a diagram where appropriate and show all work for full credit!

REMINDER: DO NOT TREAT H$2$O OR R$-134$a AS DEAL GASES!

Superheated steam enters an adiabatic nozzle steadily at $800$kPa,$400C$ and with a velocity of $10\frac{m}{s},$ and it leaves still superheated at $400$ kPa and $250\frac{m}{s}.$

Please include a picture.

Don't forget: $1k\frac{J}{k}g=1000\frac{m^2}{s^2}$

$($a$)$ Using the energy balance, determine the enthalpy of the exiting steam, in $k\frac{J}{k}g.$

$($b$)$ What is the temperature of the exiting steam? Show all work for full credit.