$(4$ points$)$

Steam flows steadily through an adiabatic turbine.

The inlet conditions of the steam are:

pressure $=9$MPa

temperature $=450C$

velocity $=80\frac{m}{s}$

The exit conditions are:

pressure $=10$kPa

quality $=0\mathrm{.}86$

velocity $=50\frac{m}{s}$

a$)$ What is the temperature of the fluid at the turbine exit?

b$)$ What is the power output of the turbine, per unit mass of the working fluid?

$\frac{kJ}{(kg)}$