Consider a tank with a movable piston as shown in Fig. P$2.$ The Tank contains water at a Pressure of $350$ kPa and a Volume of $800$ L$.$ The water is cooled until the volume is halved and the pressure is $150$ kPa and temperature is $25$C$.$ Now, do the following:

a$)$ Determine the total mass of the water.

b$)$ Determine the initial temperature of the water.

c$)$ Show the process on a P $-$ specific v diagram with respect to saturation lines