Answer:
Temperature -15.6 C, quality x=0.646, enthalpy h=667.20 KJ, vapor phase volume Vg=79.8 L
Explanation:
Refer to the property table for R-134a.
https://www.ohio.edu/mechanical/thermo/property_tables/R134a/R134a_PresSat.html
At a pressure of 160 KPa, the temperature is -15.66 C.
Quality means x equals the mass of vapor divided by the total mass of the liquid-vapor mixture.
Alternatively: x=(v-vf)/(vg-vf) where v is the total volume, which is "80L" or 0.08 cubic meter.
vf is the volume of the liquid phase and vg is the volume of the vapor phase. These values correspond to 160 KPa.
x=(0.08-0.0007437)/(0.1235-0.0007437)=0.646
Enthalpy
h=hf+xhfg where hf and hfg values are at 160 KPa.
h=hf+xhfg=31.2+0.646(209.9)=166.80 KJ/Kg.
For 4Kg of R-134a, h=m(166.80 KJ/Kg)=667.20 KJ.
Volume of vapor phase
vg at 160Kpa=0.1235 cubic meter for quality=1.
For quality=0.646, this will occupy 64.6% of the vapor phase at quality=1.
The vapor phase volume=0.646*0.1235=0.0798 cubic meter which equals 79.8 L.