7 Due 2/11

1. Construct the phases of the below states in both the $Pv$ and $Tv$ diagrams, labeling all lines with their values. Make a separate diagram for each case, six diagrams in total. Find the missing properties of $T$, $P$, $v$, $u$, $h$ and $x$ if applicable.
   1. Water at 5000 kPa, $u$ = 800 kJ/kg
   2. Water at 5000 kPa, $v$ = 0.06 m$\POW9,{3}$/kg
   3. R-134a at 34$\POW9,{\circ}$C, $v$ = 0.01 m$\POW9,{3}$/kg

2. Water in a rigid container at 300$\POW9,{\circ}$C, 1200 kPa has a mass of 0.75 kg. The water is cooled to 300 kPa. Find the final temperature, the work and the heat transfer in the process. Construct all phases that are not given in a $Pv$ diagram. Label the lines with their values. Show a $Pv$ diagram of the process. So your solution must have a total of three diagrams.

3. There is 2 kg of liquid water at 300 kPa and 20$\POW9,{\circ}$C in piston/cylinder combination. A linear spring on the piston exerts a force such that when the water is heated the pressure reaches 1 MPa with a volume of 0.2 m$\POW9,{3}$. Find the final temperature and the heat transfer in the process. Show a $Pv$ diagram of the process.

4. A constant-pressure piston/cylinder has 2 lbm of water at 1100 F and 2.26048 ft$\POW9,{3}$. It is now cooled to occupy 1/10 of the original volume. Find the heat transfer in the process. Construct all phases that are not given in a $Pv$ diagram. Label the lines with their values. Show a $Pv$ diagram of the process.