Critical point Mixture Liquid State of liquid (constant T line) In mixture t ga Figure 2B-4: Specific volumes at constant temperature and states within the vapor dome in a liquid-vapor system The specific volumes corresponding to these states are vr-specific volume of liquid phase v,- specific volume of gas phase For conditions corresponding to specific volumes between these two values, i.e., for state b, the system would exist with part of the mass in a liquid state and part of the mass in a gaseous(vapor) state. The average specific volume for this condition is v-average specific volume of two-phase system mass that exists in the two phases as follows The total mass of the system is givens, r and the We can relate the average specific volume to the specific volumes for liquid and vap total mass m= liquid mass vapor mass =m, + mg The volume of the system is Volume of liquid=V Volume of vapor=V8=mgg Total volume=V=m//+mgg The average specific volume, V, is the ratio of the total volume to the total mass of the system mgvf tmg average specific volume 2B-42B-4 State of liquid in mixture State of vapor in mixture Liquid + gas vf v vg Mixture Liquid "state" Standard-liquid line Critical point Saturated-vapor line Gas (vapor) (constant T line) T v a b c Figure 2B-4: Specific volumes at constant temperature and states within the vapor dome in a liquid-vapor system The specific volumes corresponding to these states are: v f - specific volume of liquid phase vg - specific volume of gas phase For conditions corresponding to specific volumes between these two values, i.e., for state b, the system would exist with part of the mass in a liquid state and part of the mass in a gaseous (vapor) state. The average specific volume for this condition is v - average specific volume of two-phase system. We can relate the average specific volume to the specific volumes for liquid and vapor and the mass that exists in the two phases as follows. The total mass of the system is given by total mass = liquid mass + vapor mass = m mm = +f g. The volume of the system is Volume of liquid =V mv f ff = Volume of vapor =V mv g gg = Total volume =V mv mv = + f f g g . The average specific volume, v , is the ratio of the total volume to the total mass of the system v mv mv m m f f g g f g = + + = average specific volume