3. [10 Pts] A frictionless cylinder-piston is filled with 0.1 kg of saturated liquid ammonia at -30 C. The cylinder (5 kg) is rigid and has a constant specific heat capacity of 0.5 J/gK. This system is being slowly heated up at 100 W until all ammonia turns into vapor, and its maximum interior volume is 80L. Ignore the mass of piston and assume the cylinder is in equilibrium with ammonia. (a) Initially, all energy goes to phase transition from liquid to vapor. If the interior of the cylinder has a cross section of 50 cm, how fast does the piston move during this process? [3 Pts] (b) What is the quality when the control volume reaches the maximum interior volume? [2 Pts] (c) What is the specific volume of ammonia if the quality is 100%? [1 Pt] (d) If this system can withstand up to 150 kPa, how much heat can you safely add to this system to turn all ammonia into vapor? For simplicity, round numbers up to the second decimal place. [2 Pts] (e) Draw this process in a P-v diagram. How long would this process take? [2 Pts]