Answer:
[tex]x = 0.944[/tex]
Explanation:
Steam at outlet is an superheated steam, since [tex]T > T_{sat}[/tex]. From steam tables, the specific enthalpy is:
[tex]h_{out}=2682.4\,\frac{kJ}{kg}[/tex]
The throttle valve is modelled after the First Law of Thermodynamics:
[tex]h_{in} = h_{out}[/tex]
Hence, specific enthalpy at inlet is:
[tex]h_{in}=2682.4\,\frac{kJ}{kg}[/tex]
The quality in the steam line is:
[tex]x = \frac{2682.4\,\frac{kJ}{kg}-844.55\,\frac{kJ}{kg}}{2791.0\,\frac{kJ}{kg} - 844.55\,\frac{kJ}{kg} }[/tex]
[tex]x = 0.944[/tex]
