4 C3b. Due 9/9

1. Find the phase of the substance under the given conditions and the requested data:
   1. R-134a at 1,000 kPa and 0.03 m$\POW9,{3}$/kg. Construct the phase in the $Tv$ diagram. Find the temperature $T$ and the quality $x$ if defined.
   2. R-134a at 40$\POW9,{\circ}$C and 0.01 m$\POW9,{3}$/kg. Construct the phase in the $Tv$ diagram. Find the pressure $P$ and the quality $x$ if defined.
   3. R-134a at 40$\POW9,{\circ}$C and 50% quality. Find the phase, the pressure $P$ and the specific volume.

2. UNGRADED Water in a piston/cylinder configuration boils at 110$\POW9,{\circ}$C. There is standard atmospheric pressure above the piston and the piston has a mass of 30 kg. What is the diameter of the piston?

3. A piston/cylinder combination contains R-134a at $x=1$ and 1318.1 kPa. Find the exact phase it is in, the temperature, and specific volume.
   1. The piston is then pulled up in an isothermal process until the distance from the bottom of the cylinder is doubled. Construct the final phase in the $Tv$ diagram. Label the lines with their values. Find the final temperature, specific volume, and quality if defined. UNGRADED: Also find the final pressure.

   2. Repeat if instead the piston is pushed into the cylinder until it is twice as close to the bottom of it as it was. The final pressure is now required, but the final quality is UNGRADED.

4. A steel tank with a volume of 5 m$\POW9,{3}$ contains saturated R-134a at 10$\POW9,{\circ}$C. The liquid is then boiled away and disappears at 50$\POW9,{\circ}$C. What is the final pressure? How much liquid was boiled away?